Probability and Statistics for Engineering and Science, 9th Edition

Probability and Statistics for Engineering and Science, 9th Edition

Authors: Jay L. Devore

ISBN-13: 978-1305251809

See our solution for Question 74E from Chapter 1 from Devore's Probability and Statistics for Engineering and Science.

Problem 74E

Chapter:
Problem:
The mode of a numerical data set is the value that...

Step-by-Step Solution

Given Information
We are given with following data
0.95 0.85 0.92 0.95 0.93 0.86 1 0.92 0.85 0.81
0.78 0.93 0.93 1.05 0.93 1.06 1.06 0.96 0.81 0.96


Step-1: Part (a)
The frequency distribution of the data is shown below
Data Frequency % Frequency
0.78 1 5
0.81 2 10
0.85 2 10
0.86 1 5
0.92 2 10
0.93 4 20
0.95 2 10
0.96 2 10
1 1 5
1.05 1 5
1.06 2 10
From the above table we can see that the mode of the data is 0.93 that occurs most of the time (4)


Step-2: Part (b)
For a categorical sample, the analogous concept of a modal category would be the category which contains the most observations.