Tuesday, November 26, 2019
How to Find the Mean of a Set of Numbers Formula and Examples
How to Find the Mean of a Set of Numbers Formula and Examples SAT / ACT Prep Online Guides and Tips Are you taking the SAT or ACT and want to make sure you know how to work with data sets? Or maybe youââ¬â¢re looking to refresh your memory for a high school or college math class. Whatever the case, itââ¬â¢s important you know how to find the mean of a data set. We'll explain what the mean is used for in math, how to calculate the mean, and what problems about the mean can look like. What Is a Mean and What Is It Used For? The mean, or arithmetic mean, is the average value of a set of numbers. More specifically, it's the measure of a "central" or typical tendency in a given set of data. Mean- often simply called the "average"- is a term used in statistics and data analysis. In addition, it's not unusual to hear the words "mean" or "average" used with the terms "mode," "median," and "range," which are other methods of calculating the patterns and common values in data sets. Briefly, here are the definitions of these terms: Mode- the value that appears most frequently in a data set Median- the middle value of a data set (when arranged from lowest value to highest) Range- the difference between the highest and smallest values in a data set So what is the purpose of the mean exactly? If you have a data set with a wide range of numbers, knowing the mean can give you a general sense of how these numbers could essentially be put together into a single representative value. For example, if youââ¬â¢re a high school student getting ready to take the SAT, you might be interested to know the current mean SAT score. Knowing the mean score gives you a rough idea of how most students taking the SAT tend to score on it. How to Find the Mean: Overview To find the arithmetic mean of a data set, all you need to do is add up all the numbers in the data set and then divide the sum by the total number of values. Letââ¬â¢s look at an example. Say youââ¬â¢re given the following set of data: $$6, 10, 3, 27, 19, 2, 5, 14$$ To find the mean, youââ¬â¢ll first need to add up all the values in the data set like this: $$6 + 10 + 3 + 27 + 19 + 2 + 5 + 14$$ Note that you donââ¬â¢t need to rearrange the values here (though you may if you wish to) and can simply add them in the order in which theyââ¬â¢ve been presented to you. Next, write down the sum of all the values: $$6 + 10 + 3 + 27 + 19 + 2 + 5 + 14 = \bo86$$ The last step is to take this sum (86) and divide it by the number of values in the data set. Because there are eight different values (6, 10, 3, 27, 19, 2, 5, 14), we'll be dividing 86 by 8: $$86 / 8 = 10.75$$ The mean, or average, for this set of data is 10.75. How to Calculate a Mean: Practice Questions Now that you know how to find the average- in other words,how to calculate the mean of a given set of data- itââ¬â¢s time to test what youââ¬â¢ve learned. In this section, we'll give you four math questions that involve finding or using the mean. The first two questions are our own, whereas the second two are official SAT/ACT questions; as such, these two will require a little bit more thought. Scroll past the questions for the answers and answer explanations. Practice Question 1 Find the mean of the following set of numbers: 5, 26, 9, 14, 49, 31, 109, 5. Practice Question 2 You are given the following list of numbers: 4, 4, 2, , 6, $X$, 1, 3, 2. The arithmetic mean is 4. What is the value of $X$? Practice Question 3 The list of numbers 41, 35, 30, $X, Y$, 15 has a median of 25. The mode of the list of numbers is 15. To the nearest whole number, what is the mean of the list? 20 25 26 27 30 Source: 2018-19 Official ACT Practice Test Practice Question 4 At a primate reserve, the mean age of all the male primates is 15 years, and the mean age of all female primates is 19 years. Which of the following must be true about the mean age $m$ of the combined group of male and female primates at the primate reserve? $m = 17$ $m 17$ $m 17$ $15 m 19$ Source: The College Board How to Find the Average: Answers + Explanations Once youââ¬â¢vetried out the four practice questions above, itââ¬â¢s time to compare your answers and see whether you understand not just how to find the mean of data but also how to use what you know about the mean to more effectively approach any math questions that deal with averages. Here are the answers to the four practice questions above: Practice Question 1: 31 Practice Question 2: 3 Practice Question 3: C. 26 Practice Question 4: D. $15 m 19$ Keep reading to see the answer explanation for each question. Practice Question 1 Answer Explanation Find the mean of the following set of numbers: 5, 26, 9, 14, 49, 31, 109, 5. This is a straightforward question that simply asks you to calculate the arithmetic mean of a given data set. First, add up all the numbers in the data set (remember that you donââ¬â¢t need toarrangethem in order from lowest to highest- only do this if youââ¬â¢re trying to find the median): $$5 + 26 + 9 + 14 + 49 + 31 + 109 + 5 = \bo248$$ Next, take this sum and divide it by the number of values in the data set.Here, there are eight total values, so we'll divide 248 by 8: $$248 / 8 = 31$$ The mean and correct answer is 31. Practice Question 2 Answer Explanation You are given the following list of numbers: 4, 4, 2, , 6, $X$, 1, 3, 2. The arithmetic mean is 4. What is the value of $X$? For this question, youââ¬â¢re essentially working backward: you already know the mean and now must use this knowledge to help you solve for the missing value, $X$, in the data set. Recall that to find the mean, you add up all the numbers in a set and then divide the sum by the total number of values. Since we know the mean is 4, weââ¬â¢ll start by multiplying 4 by the number of values (there are nine separate numbers here, including $X$): $$4 * 9 = 36$$ This gives us the sum of the data set (36). Now, the question becomes an algebra problem, in which all we need to do is simplify and solve for $X$: $$4 + 4 + 2 + + 6 + X + 1 + 3 + 2 = 36$$ $$33 + X = 36$$ $$X = 3$$ The correct answer is 3. Practice makes perfect! Practice Question 3 Answer Explanation The list of numbers 41, 35, 30, $X, Y$, 15 has a median of 25. The mode of the list of numbers is 15. To the nearest whole number, what is the mean of the list? 20 25 26 27 30 This tricky-looking math problem comes from an official ACT practice test, so you can expect it to be a little less direct than your typical arithmetic mean problem. Here, weââ¬â¢re given a data set with two unknown values: 41, 35, 30, $X, Y$, 15 Weââ¬â¢re also given two critical pieces of information: The mode is 15 The median is 25 To solve for the mean of this data set, we will need to use all the information weââ¬â¢ve been given and will also need to know what the mode and median are. As a reminder, the mode is the value that appears most frequently in a data set, while the median is the middle value in a data set (when all values have been arranged from lowest to highest). Since the mode is 15, this must mean that the value 15 appears at least twice in the data set (in other words, more times than any other value appears). As a result, we can say replace either $X$ or $Y$ with 15: $$41, 35, 30, X, 15, 15$$ Weââ¬â¢re also told that the median is 25. To find the median, you must first rearrangethe data set in order from lowest value to highest value. Sincethe median is more than 15 but less than 30, we should put $\bi X$ between these two values. Hereââ¬â¢s what we get when we rearrange our values from lowest to highest: $$15, 15, X, 30, 35, 41$$ There are six values in total, (including $X$) meaning that the median will be the number exactly halfway between the third and fourth values in the data set.In short,25 (the median) must come halfway between $X$ and 30. This means that $X$ must equal 20, since that would put it 5 away from 20 and 5 away from 30 (or halfway between the two values). We now have a complete data set with no unknown values: $$15, 15, 20, 30, 35, 41$$ All we have to do now is use these values to solve for the mean. Start by adding them all up: $$15 + 15 + 20 + 30 + 35 + 41 = 156$$ Finally, divide the sum by the number of values in the data set (thatââ¬â¢s six): $$156 / 6 = 26$$ The correct answer is C. 26. Practice Question 4 Answer Explanation At a primate reserve, the mean age of all the male primates is 15 years, and the mean age of all female primates is 19 years. Which of the following must be true about the mean age $m$ of the combined group of male and female primates at the primate reserve? $m = 17$ $m 17$ $m 17$ $15 m 19$ This practice problem is an official SAT Math practice question from the College Board website. For this math question, youââ¬â¢re not expected to solve for the mean but must instead use what you know about two means to explain what the mean of the larger group could be. Specifically, we're being asked how we can use these two means to express, in algebraic terms, the mean age ($\bi m$) forbothmale and female primates. Hereââ¬â¢s what we know: first, the mean age of all male primates is 15 years. Secondly, the mean age of all female primates is 19 years.This means that, in general,the female primates are older than the male primates. Since the mean age for male primates (15) is lower than that for female primates (19), we know that the mean age for both groups cannot logically exceed 19 years. Similarly, because the mean age for female primates is greater than that for male primates, we know that the mean age for both cannot logically fall below 15 years. We are therefore left with the understanding that the mean age for the male and female primates together must be greater than 15 years (the mean age of the males) but also less than 19 years (the mean age of the females). This rationale can be written as the following inequality: $$15 m 19$$ The correct answer is D. 15 $\bi m$ 19. Whatââ¬â¢s Next? Tolearn even more about data sets,look at our guide to the best strategies for mean, median, and mode on SAT Math. Taking the SAT or ACT soon? Then you'll definitely want to know what kind of math you're going to be tested on. Check out our in-depth guides to the SAT Math section and the ACT Math sectionto get started. What are the most important math formulas to know for the SAT and ACT?Get an overview of the 28 critical SAT formulas and the 31 critical ACT formulasyou should know.
Saturday, November 23, 2019
Writing Prompts 101
Writing Prompts 101 Writing Prompts 101 Writing Prompts 101 By Simon Kewin Even if you are not a professional writer you probably already heard about writing prompts. They represent a very effective tool for any writing project, so its a good idea to know how to use them. What Is A Writing Prompt? If youââ¬â¢re a fiction writer, you may want to consider using writing prompts to kick-start your creativity. A writing prompt is simply a topic around which you start jotting down ideas. The prompt could be a single word, a short phrase, a complete paragraph or even a picture, with the idea being to give you something to focus upon as you write. You may stick very closely to the original prompt or you may wander off at a tangent. You may just come up with rough, disjointed notes or you may end up with something more polished and complete, a scene or even a complete story. The point is to simply start writing without being held back by any inhibitions or doubts. Here are four good reasons for writing to prompts : Sometimes itââ¬â¢s hard to start writing when faced with a blank page. Focusing on an unrelated prompt for a while helps get the creative juices flowing. If you write for just ten minutes on a prompt, you should then find it easier to return to the piece you intended to write. You may also find that if you stop trying to think so hard about what you wanted to write and switch you attention to the prompt instead, the words and ideas for your original piece start to come to you after all. The things you write in response to a prompt may also end up as worthwhile material in their own right. The prompt may give you ideas from which a complete story grows or you may get fresh ideas for another piece you are already working on. Itââ¬â¢s often surprising how much material you come up with once you start. Writing to a prompt regularly helps to get you into the habit of writing. This can act as a sort of exercise regime, helping to build up your ââ¬Å"musclesâ⬠so that you start to find it easier and easier to write for longer and longer. Prompts can be a great way to get involved in a writing community. Sometimes writing groups offer a prompt for everyone to write about, with the intention being for everyone to come up with something they can then share. This can be a source of great encouragement, although knowing that others will read what you have written can also inhibit your creativity. Examples of Writing Prompts The following are twenty writing prompts that you could use to spark your imagination. If you want to use one, donââ¬â¢t worry about where the ideas take you or whether what youââ¬â¢ve written is ââ¬Å"goodâ⬠. The point is just to get into the flow of writing. You can come back later and polish if you wish to. It was the first snowfall of the year. He hadnââ¬â¢t seen her since the day they left High School. The city burned, fire lighting up the night sky. Silk. She studied her face in the mirror. The smell of freshly-cut grass. They came back every year to lay flowers at the spot. The streets were deserted. Where was everyone? Where had they all gone? This time her boss had gone too far. Red eyes. Stars blazed in the night sky. He woke to birdsong. ââ¬ËShh! Hear that?ââ¬â¢ ââ¬ËI didnââ¬â¢t hear anything.ââ¬â¢ Heââ¬â¢d always hated speaking in public. She woke, shivering, in the dark of the night. The garden was overgrown now. Heââ¬â¢d never noticed a door there before. Sheââ¬â¢d have to hitch a ride home. ââ¬ËI told him not to come back too!ââ¬â¢ His feet were already numb. He should have listened. Where To Find Writing Prompts Online The internet is a wonderful source of writing prompts. There are sites dedicated to providing them which a quick search will turn up. Examples include : CreativeWritingPrompts.com WritersDigest.com Creative-Writing-Solutions.com Perhaps even more valuable are the lists compiled by authors and websites. Here are some suggestions: 200+ Writing Prompts to Inspire You There are numerous blogs that offer a regular writing prompt to inspire you and where you can, if you wish, post what youââ¬â¢ve written. Examples include : SundayScribblings.blogspot.com DragonWritingPrompts.blogspot.com There are also many other sites that can, inadvertently, provide a rich seam of material for writing prompts ââ¬â for example news sites with their intriguing headlines or pictorial sites such as Flickr.com that give you access to a vast range of photographs that can prompt your writing. If youââ¬â¢re on Twitter, there are users you can follow to receive a stream of prompts, for example : twitter.com/writingprompt twitter.com/NoTelling twitter.com/writingink Another idea is just to keep an eye on all the tweets being written by people all over the world, some of which can, inadvertently, be used as writing prompts. How To Make Your Own Writing Prompts You can find ideas for writing prompts of your own from all sorts of places : snatches of overheard conversation, headlines, signs, words picked from a book and so on. Get used to keeping an eye out for words and phrases that fire your imagination, jot them down and use them as writing prompts to spark your creativity. You never know where they might take you. Want to improve your English in five minutes a day? Get a subscription and start receiving our writing tips and exercises daily! Keep learning! Browse the Writing Basics category, check our popular posts, or choose a related post below:50 Incorrect Pronunciations That You Should AvoidHow to Punctuate with ââ¬Å"Howeverâ⬠Capitalizing Titles of People and Groups
Thursday, November 21, 2019
Answer the following questions#2 Essay Example | Topics and Well Written Essays - 500 words
Answer the following questions#2 - Essay Example The model gives exact video guidelines that can be easier to understand for students, since they can see organs that are not seen during actual conversations, as these organs move inside the mouth. The model also provides examples of words for practice pronunciation, where learners can feel how these organs work together in providing a specific sound(s) for a specific letter. Phonetics_Focus/. It has many applications that help students learn the English language, such as the Phonemic Reader. It shows the actual sounds of the consonants and vowels. It can guide students in seeing each letter, not just physically, but also audio-visually, in a phonemic way. The application also offers several games, such as the Phonemic Pelmanism. It asks students to match the phonetic spelling with the real spelling. The game helps readers practice what they know about phonemics already. There are also plenty of mobile applications that help children learn sounds and letters. These applications test learning too, which provides automatic feedback and positive reinforcement once kids learn them. I can use them to help students reinforce learning in class by doing tasks that they can do at home at their own pace and time. Information gap tasks are done orally by asking learners to determine differences between pictures, ordering sentences in stories, and restoring missing portions of maps and charts. I can use this game to help learners think about the uses of words in context. The advantages of the task are contextual learning of language and interactive learning. The disadvantages are possible lack of writing reinforcement and some students with poor vocabulary will struggle with the tasks. An example of the task is making an appointment game. I can use this game to help young learners understand the concept of time and time management. The advantages of the task are helping students understand the meaning of words in actual settings and
Tuesday, November 19, 2019
How Attitudes Influence an Organization Research Paper
How Attitudes Influence an Organization - Research Paper Example The importance of the attitudes is no different in the corporate world as well. We can observe in the job advertisement placed by the organizations in which they explicitly mention the importance of a ââ¬Å"can do attitudeâ⬠in the applicant. Therefore, it is important to understand why organizations need individuals with a positive attitude. Importance of Attitude The increasing competition within the corporate world has compelled organizations to be extremely dynamic in their approach. The need to adjust according to the demands of the market and customers and for this they need employees who have a positive and flexible nature to adjust immediately to the required changes. The increased number of companies has also not helped the cause for many organizations as it stiffened the competition in the market. In the situation where organizations needs to be extremely innovative in their business approach, require their employees to think out of the box. The creative thinking is o nly possible when an individual is trying to find a solution rather than just filling in the situation. ... ees are an integral part of any success that an organization achieves and hence it important for the companies to have employees who are always thinking of something new and innovative. Attitudes Influencing Organizations Generally Organizations perform their activity in a competitive commercial environment which is permanently changing, which forces them to constantly adapt to new conditions. In an organization, management is performed by people, through people. Essentially, the organizational transformation resides in a holistic approach, emphasizing the human dimension of the company, which simultaneously takes into account the changes for purposes on the whole, the structures, the culture and the strategy of the organization, based on new perceptions, ways of thinking and of behaving. The dynamic nature of the corporate world has increased the importance of evolving organizations. The rapid advancement in technology is also changing the way of business practices around the world. The employees, thus, needs to be extremely positive in their approach to accept these changes in the work environment. The competitive forces in the industries have somehow shortened the length of competitive advantage for the firms, as many other firms would master the art of producing it with some additional features that too in a very short span of time. The example of Smartphone is the perfect elaboration of the above discussion. In this situation, if employees resist changes in the organization, which is brought in it to move forward and compete in the industry, the organization is likely to fall out of the competition (Olatokun, Wole and Olalekan). The approach or attitude of the employees is thus of critical importance. Their attitude shapes the attitude of the organization as the
Sunday, November 17, 2019
Foucault and kant Essay Example for Free
Foucault and kant Essay Both Kant and Foucault present a question of what is enlightenment? According to Immanuel Kant enlightenment was mans freedom from his ââ¬Å"self-incurred immaturityâ⬠. Kant believes that all that is needed to reach enlightenment is freedom. Enlightenment could not be achieved by any one person, we have to do so as a community. Kant said that we should have the freedom to make public use of our reason in all situations. He also believed that revolution is a great way to remove oppressive government heads but it would not teach the community to think in a different way. Kant says that the matters of religion is the focal point of enlightenment. Thinking and acting freely is mans enlightenment and emerges us from our immaturity. Foucaults text is a reflection upon Kants views on ââ¬Å"What is enlightenment? â⬠. Foucault addresses many of the issues with Kants essay on ââ¬Å"What is Enlightenment? â⬠and says that is written in a world era to which no one belongs to. He says that enlightenment is an ââ¬Å"exitâ⬠or a ââ¬Å"way outâ⬠. Focault says that we have not yet reached enlightenment and that once we achieve this enlightenment there will be nowhere else to progress to and we will achieve our limit. I agree with Foucault over Kants view on enlightenment. I think as a whole we have not reached our enlightenment and I donââ¬â¢t think we will for a very long time. Although Kant said in order to reach enlightenment we have to do so as a community. We cannot do this because this is something that exceeds our limits as human beings.
Thursday, November 14, 2019
Hamlet and The Lion King :: GCSE English Literature Coursework
Hamlet and The Lion King Many perceive The Lion King, Disney's most successful movie to date, as Disney's only original movie; the only movie not previously a fairy tale from one country or another. This, however, is not the case. While The Lion King seems not to be beased on a fairy tale, it is in fact strongly based on the play Hamlet by William Shakespeare. Disney writers cleverly conceal the basic character archetypes and simplified storyline in a children's tale of cute lions in Africa. To the seasoned reader, however, Hamlet comes screaming out of the screenplay as obviously as Hamlet performed onstage. The characters in The Lion King closely parallel Hamlet. Simba, the main character in The Lion King, embodies Hamlet, He is the son of the King and rightful heir to the throne. The King of the Pridelands, Mufasa, parallels Hamlet Senior, who is killed by the uncle figure. In The Lion King, the uncle is Scar, and in Hamlet, the uncle figure is Claudius. Laertes, the henchman and right-hand man of Claudius, becomes, in the movie, the Hyenas, Bansai, Shenzi, and Ed. The Hyenas collectively act as hero-worshippers to Scar, loyal subjects, and fellow doers-in-evil. They support Scar completely, just as Laertes supports Claudius. Rosencrantz and Guildenstern are the comic reliefs of Hamlet, and in The Lion King, this role is fulfilled by Timon and Pumbaa, who are a meercat and warthog, respectively. Both sets compliment each other, complete each other's sentences, act as caretakers to Hamlet/Simba, and are comical to the point of being farcical. The role of Horatio, Hamlet's right-hand man, is fulfilled in The Lion King by Nala. Nala concentrates on the aspect that Simba is the rightful King and that it is his responsibility to ascend to the throne. She is his best friend and someone whom he trusts. Just as Horatio loyally follows Hamlet, Nala is completely loyal to Simba. Not only are there ties of friendship, but there is also an element of respect and reverence in both friendships. Horatio and Nala both know that they are friends and loyal followers of the rightful king. In The Lion King, the plot mirrors the plot of Hamlet as well. In the very beginning, Hamlet Senior is poisoned by Claudius, who then ascends to the throne and marries Hamlet's mother Gertrude. Similarly, Mufasa is thrown to his death by Scar, who goes on to become King of the Pridelands and leader of the pack, thus "marrying" Simba's mother, Sarobi.
Tuesday, November 12, 2019
Ib Bio Experiment on Effect of Substrate Conc on Enzyme Activity
Practical Assessment 2 ââ¬â The effect of substrate concentration on the rate of enzyme activity of Catalase Aim To investigate the effect of substrate concentration (manipulated by increasing concentration of hydrogen peroxide) on the rate of enzyme activity of catalase, produced by liver cells, on the decomposition of hydrogen peroxide. Introduction Enzymes are biological catalysts that increase the rates of reactions.In an enzyme-catalyzed reaction, the substrate binds to the active site and forms enzyme-substrate complex with the enzyme through the lock and key method (where the lock represents the enzyme and the key represents the substrate). The enzyme then breaks the bonds in the substrate. The product of the reaction then leaves the enzyme, which remains unchanged after the reaction. Without enzymes, many essential processes, such as digestion, would occur too slowly for life to continue.Catalase is an enzyme produced by our liver cells to break down hydrogen peroxide â⠬â a common end product of metabolism, but highly toxic to tissues if accumulated in the body ââ¬â into water and oxygen. The equation of the reaction is as follows: 2 H2O2 O2 + 2 H2O Catalase Catalase In this experiment, we obtain 6% hydrogen peroxide solution from a pharmacy and extract equal concentrations of catalase from liver cells.Filter paper discs are dipped into the catalase solution before they are submerged in hydrogen peroxide solution. The oxygen produced from the enzyme reaction will form on the discs and cause the disc to be buoyant enough to float upwards. We can investigate the effects of substrate concentration on the rate of reaction by catalase by using different concentrations of hydrogen peroxide solution, and measuring the rate of reaction by measuring time taken for the disc to float to the surface when sufficient oxygen is produced. HypothesisThe hypothesis for this experiment is that the rate of reaction will increase with the increase of hydrogen p eroxide concentration, if the other factors of enzyme activity (such as temperature, pH and enzyme concentration) are kept constant. However, the rate of reaction will stop increasing with hydrogen peroxide concentration at a point where the enzyme concentration becomes a limiting factor. At high substrate concentrations, most of the active sites available are occupied since they are saturated with substrate molecules at any given time.Hence, a further increase in substrate concentration will not cause the rate of decomposition of hydrogen peroxide to increase. As such, the expected graph from this experiment is as follows: Graph 1: Expected graph of rate of reaction against concentration of substance Variables Dependent variable: Rate of enzyme activity of catalase in terms of time taken for the disk to float to the surface of the hydrogen peroxide solution when sufficient oxygen is produced. * Once the filter paper disc has reached the bottom of the test tube, the stopwatch is sta rted.The stopwatch is stopped once the disc has reached the surface of the hydrogen peroxide solution. The recorded timing indicates the amount of time taken for the disk to float to the surface of the hydrogen peroxide solution. Independent variable: Concentration of hydrogen peroxide solution. * Add different volumes of water to the different volumes of 6 % hydrogen peroxide solution. Controlled variable(s): 1. Enzyme concentration * We are provided with homogenous liquid liver solution. Hence, the concentration of catalase is constant throughout the liquid liver solution. . Volume of hydrogen peroxide solution * The volume of hydrogen peroxide solution in each test tube is 5cm3. Controlling the volume of hydrogen peroxide solutions ensures that the same amount of hydrogen peroxide molecules (substrates) is available for reaction in the test tube. 3. Size of test tubes * The test tubes used each time must be of the same size, length and volume. This is to ensure that the distance the filter paper disc has to travel (between the bottom of the test tube to the surface) is the same for each time. 4. Filter paper disc The filter paper discs should be of the same diameter and of the same thickness. This is to ensure that the same amount of oxygen gas is required to lift it to the surface each time thereby enabling us to determine the time taken for it to do so. 5. Temperature * Enzyme activity is affected by temperature. The experiment is carried out in room temperature (25 à °C), which is assumed to remain constant throughout the duration of the experiment. Apparatus * Digital stop watch, accurate to 0. 01 s * 6 Test tubes (Same size and length) * 6 Test tube holders * Wooden stick * 500 cm3 beaker 6 measuring cylinders Materials * 6 % hydrogen peroxide solution provided by teacher * Homogenous liquid liver solution provided by teacher * 30 Filter paper discs provided by teacher * Distilled water Procedure 1. 0. 75 % hydrogen peroxide solution is prepared by me asuring 3. 00 cm3 of 6 % hydrogen peroxide using a measuring cylinder and then diluting it with 21. 00 cm3 of distilled water. 1. 50 %, 3. 00 %, 4. 50 % and 6. 00 % hydrogen peroxide solutions are prepared using the same method with corresponding volumes of 6 % hydrogen peroxide and water as shown in the table below.Concentration of hydrogen peroxide solution/ %(à ± 0. 02)| Volume of 6 % hydrogen peroxide/ cm3(à ± 0. 01)| Volume of water added/ cm3(à ± 0. 01)| 0. 75%| 3. 00| | | 21. 00| 1. 50%| 6. 00| 18. 00| 3. 00%| 12. 00| 12. 00| 4. 50%| 18. 00| 6. 00| 6. 00%| 24. 00| 0. 00| Table 1: Dilution table for preparing different concentrations of hydrogen peroxide solutions The prepared hydrogen peroxide solutions are poured into test tubes. Each test tube should contain 5 cm3 of the solution. The test tubes with their olutions are placed in the test tube holder, labelled with the concentration of hydrogen peroxide solution that they contain. 2. Obtain homogenous liver liquid from te acher and add 8 cm3 of liver liquid into each petri dish to be used in the experiment. (5 petri dishes) 3. A filter paper disc is soaked with liver liquid in each petri dish. 4. A filter paper disc is removed from petri dish and pushed to the bottom of a test tube with 0. 75 % hydrogen peroxide solution using a wooden stick. 5. The stopwatch is started immediately when the filter paper disc touches the bottom of the test tube. . The stop watch is stopped once the filter paper disc reaches the surface. The time taken for the filter paper disc to float to the surface is recorded. 7. Steps 3 ââ¬â 6 are repeated a further 5 times, using other new 0. 75 % hydrogen peroxide solutions. 8. The average of the 6 readings for each hydrogen peroxide concentration is calculated and recorded. The rate of reaction is calculated by the following formula: Rate of reaction = 1/Average time taken for filter paper disc to reach the surface of the hydrogen peroxide solution from the bottom 9.Steps 3 -7 are repeated with 1. 50 %, 3. 00 %, 4. 50 % and 6. 00 % hydrogen peroxide solutions 6 times each. Data table | Timing for each run conducted/s| Concentration of Hydrogen Peroxide solution/%| 1| 2| 3| 4| 5| 6| Average timing for each concentration Hydrogen Peroxide solution/s| Rate of reaction for each concentration Hydrogen Peroxide solution/s| 0. 75%| | | | | | | | | 1. 50%| | | | | | | | | 3. 00%| | | | | | | | | 4. 50%| | | | | | | | | 6. 00%| | | | | | | | |
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