Answered: Three statistics classes (50 students…

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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Question

Three statistics classes (50 students each) took the same test. Shown below are histograms of the scores for the classes. Use the histograms to answer the question.

Which class do you think performed better on the test?

a.Class 2, because it has different mean and median and 70% of class 2 scored at or above the medians of 1 and 3.

b. Class 2, because it has the highest median and 70% of class 2 scored at or above the medians of 1 and 3.

c. Class 1, because it has the smallest median and 70% of class 1 scored at or above the medians of 2 and 3.

d. Class 3, because 74% of class 3 scored at or above the medians of 1 and 2.

e. Class 2, because it has the highest median and 50% of class 2 scored at or above the medians of 1 and 3.

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4-
40 50 60 70 80 90
40 50 60 70 80
90
40
50 60 70
80
06
Class 1
Class 2
Class 3
# of students
# of students
#of students

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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