Refer to the sample table of data sheet of marks of ten students in a test. Assume the marks of the students are normally distributed. Refer to normal probability table for Z scores, they are freely available on internet. Refer to the Module 1 Statistics module before attempting this exercise.

A Math and Verbal test had the following normal distribution. Math N (69, 19) and Verbal N (75,9). Answer the following questions based on the data shared. What’s the mean and standard deviation of the two mentioned distribution?

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Quiz Normal Distribution and Z-scores

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Students scoring less than 45 percentiles of the sample in Math were asked to retake the test? How many students took a retest?

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Question 2 of 3

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What is the score of the student who scored worse than 80 percent of the test-takers in the Verbal examination? Is there a difference between this score from that of the score for a student in Math examination? If so why?

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A case study competition has implemented a rule (a sad rule) that only students among the top ten percent in the examination would be selected for the competition. Based on the sample distribution shared, at what is the cut-off score for both the examinations?

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