Answered: The amount of money earned in a day by…

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 amount of money earned in a day by Ms. Anne’s craft shop was recorded and displayed in the stem-and-leaf diagram shown below in Exhibit 1.

Exhibit 1

Stem-and-leaf of Data: Amount of Money earned in a day in

dollars

Leaf Unit = 10 N = *

2 259
5 3234
13 3 55779999

(**) 4 0001233

14 4 5569

*** 5 03344
5 5 7788

161

What is the median of the distribution?

Use the stem-and-leaf diagram above to draw a box-and-whisker diagram.

Comment on the skewness of the distribution.

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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