Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1. n(n - 1) Interval 30-39 40-49 50-59 Frequency 60-69 70-79 80-89 90-99 4. 1 14 35 39 Standard deviation = (Round to one decimal place as needed.)
Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard deviation obtained from the original list of data values, 11.1. n(n - 1) Interval 30-39 40-49 50-59 Frequency 60-69 70-79 80-89 90-99 4. 1 14 35 39 Standard deviation = (Round to one decimal place as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:Find the standard deviation, s, of sample data summarized in the frequency distribution table below by using the formula below, where x represents the class
midpoint, f represents the class frequency, and n represents the total number of sample values. Also, compare the computed standard deviation to the standard
deviation obtained from the original list of data values, 11.1.
n(n-1)
Interval
30-39
40-49
50-59
60-69
70-79
80-89
90-99
Frequency
4.
14
35
39
Standard deviation = (Round to one decimal place as needed.)
Help me solve this
View an example
Get more help-
Clear all
Check answer
Expert Solution

Step 1
by using given data;
Class(Interval) |
Frequency (f) |
Mid value (x) |
f⋅x |
f⋅(x^2) |
30-39 | 2 | 34.5 | 69 | 2380.5 |
40-49 | 4 | 44.5 | 178 | 7921 |
50-59 | 2 | 54.5 | 109 | 5940.5 |
60-69 | 1 | 64.5 | 64.5 | 4160.25 |
70-79 | 14 | 74.5 | 1043 | 77703.5 |
80-89 | 35 | 84.5 | 2957.5 | 249908.75 |
90-99 | 39 | 94.5 | 3685.5 | 348279.75 |
n=97 | ∑f⋅x=8106.5 | ∑f⋅(x^2)=696294.25 |
Trending now
This is a popular solution!
Step by step
Solved in 2 steps

Recommended textbooks for you

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc

Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning

Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON

The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman

Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman