A distribution of test scores is not symmetric. Which of the following is the best estimate of the z-score of the third quartile

Question

Bad White [126]

2 years ago

8

A distribution of test scores is not symmetric. Which of the following is the best estimate of the z-score of the third quartile

?
a. 0.67
b. 0.75
c. 1.00
d. 1.41
e. this z-score cannot be estimated from the information given.

Mathematics

1 answer:

sweet-ann [11.9K] · Answer 1 · 2022-08-18T22:30:35+03:00

The correct answer is:

e. this z-score cannot be estimated from the information given.

Further explanation:

Let us define z-score first:

"Z-score is the measurement of how many standard deviations a data value is from mean"

We are given that the distribution is not symmetric. And to find the z-score of any value in the data we at least need to know the mean and standard deviation of the given distribution which is not available. So we can conclude that the z-score of third quartile cannot be estimated from given information.

So, e. this z-score cannot be estimated from the information given is the correct answer.

Keywords: Symmetric distribution, z-score

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