Question
In: Statistics and Probability
Find the sample variance and standard deviation. 23, 16, 3, 8, 11
Find the sample variance and standard deviation. 23, 16, 3, 8, 11
Solutions
Expert Solution
Sample standard deviation = 
Sample variance = 
As per data, sample size = n = 5.
Step
1: Find the sample mean = 
The mean of a data set is the sum of the terms divided by the total number of terms.
Mean=Sum of terms / Number of terms
Step 2: Create the following table.
 |
 |
 |
| 23 | 10.8 | 116.64 |
| 16 | 3.8 | 14.44 |
| 3 | -9.2 | 84.64 |
| 8 | -4.2 | 17.64 |
| 11 | -1.2 | 1.44 |
Step 3: Find the sum of numbers in the last column to get.
Step 4: Calculate sample variance using the below formula.
Step 5: Calculate sample standard deviation
()
using below formula.
ANS : Sample variance = 58.7 and sample standard deviation = 7.66159
orchestra answered 2 years agoRelated Solutions
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