Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results are given in the frequency distribution: Aptitude Score 0 1 2 3 4 5 Frequency 1 6 4 1 5 2 Calculate the sample standard deviation of this data. Answer using two decimal places.
Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results are given in the frequency distribution: Aptitude Score 0 1 2 3 4 5 Frequency 1 6 4 1 5 2 Calculate the sample standard deviation of this data. Answer using two decimal places.
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
Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results are given in the frequency distribution:
| Aptitude Score | 0 | 1 | 2 | 3 | 4 | 5 |
|---|---|---|---|---|---|---|
| Frequency | 1 | 6 | 4 | 1 | 5 | 2 |
Calculate the sample standard deviation of this data. Answer using two decimal places.
Expert Solution
Step 1
here we have to find out the sample standard deviation for given frequency distribution table .
| x | f | fx | fx2 |
| 0 | 1 | 0 | 0 |
| 1 | 6 | 6 | 6 |
| 2 | 4 | 8 | 16 |
| 3 | 1 | 3 | 9 |
| 4 | 5 | 20 | 80 |
| 5 | 2 | 10 | 50 |
| n = 19 | 47 | 161 |
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