Answered: the data be ow are the test scores…

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 data be ow are the test scores obtained by 30 candidates in a mathematics test
63 75 82 48 51 72 50 77 54 73 45 67 59 47 80 42 60 68 76 80 67 61 69 58 53 46 69 49 43 55
(a)Organize this information into a stem-and-leaf display.
(b) Find the median and 1QR of the dataset.
(c)By using scientific calculator,calculate the mean and standard deviation of the dataset.

(d) Find the percentage of variation in the dataset.
(e) Find the measure of skewness.

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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