3
AssignmentMultiple Choice

Discrete Random Variables – Mean

Question 3 • NC-Math 4

A data set is Normally distributed with a mean of 750 and a standard deviation of 55. What is the value of a data element that has a z-value of 0.05? Give your answer to two decimal places.

Answer
A
51.99
B
52.75
C
752.75
D
777.50

Explanation

Use the z-score formula rearranged to find the data value: x = mean + (z × standard deviation). Substituting gives x = 750 + (0.05 × 55) = 750 + 2.75 = 752.75, so the correct choice is 752.75.

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