The scores on a 100-point exam have a median of 80 points, a mean of 71 points, and a standard deviation of 22 points. One student converts their exam score to z = 0. Which of the following must be a true statement?a) he had a score of 80b) approximately 50% of the students scored higher than himc) given that the standard deviation is so large, there are outliers presentd) since the distribution isn't symmetric, you can't calculate the z scoreIn the class I'm taking, they say the answer is b, but I don't understand why or how. The scores on a 100-point exam have a median of 80 points, a mean of 71 points, anda standard deviation of 22 points. One student converts their exam score to z = 0.Which of the following must be a true statement?This student had a score of 80 on their exam.Approximately 50% of the class had a score higher than thisstudent's score.CorrectGiven that the standard deviation is so large, there are outlierspresent.Since this distribution is not symmetric, you should not calculate aZ-scoreCONTINUE

The question is about z score.Given :Median value of scores = 80 pointsMean value of scores = 71…

Answered: The scores on a 100-point exam have a…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The scores on a 100-point exam have a median of 80 points, a mean of 71 points, and a standard deviation of 22 points. One student converts their exam score to z = 0. Which of the following must be a true statement?

a) he had a score of 80
b) approximately 50% of the students scored higher than him
c) given that the standard deviation is so large, there are outliers present
d) since the distribution isn't symmetric, you can't calculate the z score

In the class I'm taking, they say the answer is b, but I don't understand why or how.

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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