Answered: Consider the boxplot below. 8 10 20 38…

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

a. What quarter has the smallest spread of data?
First
Second
Fourth
Third
b. What is that spread?
c. What quarter has the largest spread of data?
Fourth
First
Second
Third
d. What is that spread?

e. Find the Inter Quartile Range (IQR):
f. Which interval has the most data in it?
10 - 20
12 - 36
3 - 10
20 - 38
g. What value could represent the 53rd percentile?
11
20
53
5

Consider the boxplot below.
8 10
20
38
a. What quarter has the smallest spread of data?

Expert Solution

Step 1

Introduction

A box plot gives an idea about the distribution of the data values and whether the dist. is symmetric or not.

Step 2

In the given box plot there are 4 quarters as shown below:

$1^{st} Quarter : 8 - 3 = 5 2^{nd} Quarter : 10 - 8 = 2 3^{rd} Quarter : 20 - 10 = 10 4^{th} Quarter : 38 - 20 = 18$

The smallest spread of the data is in the second quarter and hence, the second option is correct.

Step 3

The spread is $10 - 8 = 2$ .

Step 4

The largest spread of the data is in the fourth quarter and hence, the first option is correct.

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