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Answer the following questions. Here are some data that represent a set of score

ID: 3170803 • Letter: A

Question

Answer the following questions. Here are some data that represent a set of scores on an exam (let's call it 'Exam 1'): 79, 85, 75, 91, 58, 76, 87, 83, 79, 85, 99, 75. Enter the data into SPSS. Use SPSS to find the mean and standard deviation of the data set. Then by hand, calculate the z score of someone who got a 75 on the exam. By hand, also calculate the z score of someone who got a 70 on the exam. Show all of your work. Here are some data that represent a set of scores on a different exam (let's call it 'Exam 2'): 56, 48, 75, 49, 56, 64, 73, 70, 66, 71, 71, 69. Enter the data into SPSS. Use SPSS to find the mean and standard deviation of the data set. Then by hand, calculate the z score of someone who got a 75 on this exam. By hand, also calculate the z score of someone who got a 70 on this exam. |Show all of your work. For raw scores of 75 and 70, are the corresponding c scores from 'Exam 1' the same or different from those of 'Exam 2'? If they are different, how are they different? Why should they be same or different?

Explanation / Answer

Answer)

Mean for Exam 1 =  81           Standard deviation for Exam 1 = 9.703951

Mean for Exam 2 =   64            Standard deviation for Exam 2 = 9.009255

For a Raw score of 75, the Z score from Exam 1 = -0.6183    Exam 2 = 1.221

For a Raw score of 70, the Z score from Exam 1 = -1.1336 Exam 2 = 0.666

The Corresponding Z scores, completely differs from one another.

The set of scores used (Exam 1 and Exam 2 ) are completely different from each other. Hence, there mean and standard deviation also differs.

Hence,we get two different Z scores for each raw score

Exam 1 Exam 2 79 56 85 48 75 75 91 49 58 56 76 64 87 73 83 70 79 66 85 71 99 71 75 69
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