See picture with a graphic to answer A and B(a)Which class had a smaller range of test scores?Choose one:-Class A-Class B-Both had the same range(b)Which class had a higher median test score?Choose one:-Class A-Class B-Both had the same median Two science classes with the same number of students took a final exam.The box-and-whisker plots below (sometimes called boxplots) summarize the test scores for each class.Use the box-and-whisker plots to answer the questions.Class AClass B556065707580859506Test score

Given information: The boxplots for class-A and class-B are given.(a). Identify the class that had a smaller range of test scores: The general formula to compute range of a dataset is: Range = Maximum – Minimum The difference between maximum and minimum data points of a dataset gives range. For class A, the maximum value is 84 and the minimum value is 72. Range of class A is 84 – 72 = 12. For class B, the maximum value is 90 and the minimum value is 67. Range of class A is 90 – 67 = 23. Thus, the class A had a smaller range of test scores.(b). Identify the class that had a higher median test scores: Median: The median is the middle value in an ordered sequence of data. If there are no ties, half of the observations will be smaller than the median, and half of the observations will be larger than the median. In case of discrete data, if the sample size is an odd number then the middle observation of the ordered data is the median and if the sample size is even number then the average of middle two observations of the ordered data is the median. The middle line in the boxplot indicates median of the dataset. For class A, the median value is 79. For class B, the median value is 75. Thus, the class A had a higher median test score.

Answered: range o

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

See picture with a graphic to answer A and B

(a)Which class had a smaller range of test scores?

Choose one:

-Class A

-Class B

-Both had the same range

(b)Which class had a higher median test score?

Choose one:

-Class A

-Class B

-Both had the same median

Two science classes with the same number of students took a final exam.
The box-and-whisker plots below (sometimes called boxplots) summarize the test scores for each class.
Use the box-and-whisker plots to answer the questions.
Class A
Class B
55
60
65
70
75
80
85
95
06
Test score

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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