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
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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 |
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