Question

In the Social Psychology course, you receive a score of 77 on the second exam. You are told that the standard deviation of the second exam is 8 and that your score is .75 standard deviations below the mean
What is your new on the exam?

Answer 1

Answer:

a)  mean = u = 83

b) Your friend's score is 1.625 standard deviations below the mean

Step-by-step explanation:

Note:

- The correct question is as follows:

" In the Social Psychology course, you receive a score of 77 on the second exam. You are told that the standard deviation of the second exam is 8 and that your score is .75 standard deviations below the mean. "

Find:

a.What is the class mean of the second exam?

b.Your friend scored a 70 on the second exam. How many standard deviations below the mean is your friend’s score?

Solution:

- The class mean can be calculated by using the given data of your score being 0.75 standard deviation less than mean:

                               Your score = mean - 0.75*standard deviation.

- Plug in the values:

                                77 = mean - 0.75*8

                                mean = u = 83

- Now your friend has a score of 70 on second exam, using the above relation again we have:

                               Friend's score = mean - a*standard deviation.

Where, a is the constant to be found:

                               70 = 83 - a*8

                               a = (70 - 83 ) / -8

                              a = 1.625

- Your friend's score is 1.625 standard deviations below the mean