Question
A.) What is the standard deviation of the following: 50, 46, 44, 36, 44, 48 Round...
A.)
What is the standard deviation of the following: 50, 46, 44, 36, 44, 48
Round to 2 decimal places as needed.
B.)
What is the standard deviation of the following: 46, 36, 46, 30, 36, 29
Round to 2 decimal places as needed.
C.)
What is the standard deviation of the following: 15, 50, 29, 10, 21, 12
Round to 2 decimal places as needed.
Homework Answers
Answer #1
A) First we have to calculate sample mean.
Now, We have to construct below table to compute standard deviation (sd)
| X |
X- |
(X-)2 |
| 50 | 5.33 | 28.4089 |
| 46 | 1.33 | 1.7689 |
| 44 | -0.67 | 0.4489 |
| 36 | -8.67 | 75.1689 |
| 44 | -0.67 | 0.4489 |
| 48 | 3.33 | 11.0889 |
| Total | 117.3334 |
Sample standard deviation (sd) is calculated using below formula
Population standard deviation() is calculated using below formula
Using above approach, we can compute sample and population standard deviation for B and C data
B) Sample standard deviation (sd) = 7.44 and population standard deviation = 6.79
C) Sample standard deviation (sd) = 14.99 and population standard deviation = 13.68
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