Answered: The Table below shows the average score…

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

The Table below shows the average score of the150 students sampled from the
University of the East Europe in the academic year 2020/2021.
Score (out of 100) Number of students
40-44 19
45-59 32
60-64 49
65-69 29
70-74 21
i. calculate the mean score of the students
ii. calculate the modal score
iii. calculate the median score
iv. Use your results above to comment on the shape of the distribution. Give a reason for your
answer.

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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