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Calculate the variance and standard deviation for samples
Chapter , Problem 58E(choose chapter or problem)
Problem 58E
Calculate the variance and standard deviation for samples where
a. n = 10, Σx2 = 84, Σx = 20
b. n = 40, Σx2 = 380, Σx = 100
c. n = 20, Σx2 = 18, Σx = 17
Questions & Answers
QUESTION:
Problem 58E
Calculate the variance and standard deviation for samples where
a. n = 10, Σx2 = 84, Σx = 20
b. n = 40, Σx2 = 380, Σx = 100
c. n = 20, Σx2 = 18, Σx = 17
ANSWER:
Solution :
Step 1 of 3:
Our gal is:
We need to calculate the variance and the standard deviation.
a). n=10,and
.
b). n=40,and
.
c). n=20,and
.
a).
Now we have to calculate the variance and the standard deviation.
Given n=10,and
.
The formula for the variance is
We know that n=10,and
.
Now we substitute all the values.
4.888
Therefore variance is 4.888.
Then we have to find the standard deviation.
Standard deviation is a square root of variance.
Therefore Standard deviation is 2.211.