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ID: 3070731 • Letter: R

Question

Review ViewDesign Layout Normal | 1 No Spac Heading 1 , Heading 2 Title Paragraph Styles Suppose John just found out that he got a 71 on his statistics exam. He knows the mean was a 78, and he is trying to figure out whether he should be a) pleased about his score, because his score was so close to the mean, or b) worried, because his score was so far below the mean. a. Which response do you think is most appropriate (not regarding either of the tables 4. below)? How are you basing your information? Inorder to get a true 'picture' of the test score you would need to analyze the distribution. From the graphs below, explain which graph represents John's score as a good' score and which graph represents his score as a 'bad score. Explain your reasoning/justification. b. 10 10

Explanation / Answer

4.

a. Appropriate response depends upon the variation in the test scores. If the variation is small then John should be worried because his test score will be far below the mean. If the variation is large then he should be pleased becuase his score will be close to the mean.

b. The first graph shows that there is large variance in the distribution of test scores and hence we can say that this graph represents John's score as a 'good' score.

The second graph on the other hand shows that there is small variance in the distribution of test scores and hence we can say that this graph represents John's score as a 'bad' score.

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