Compute the standard deviation for set {8,8,9,9,9,10,10}.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Compute the standard deviation for set
{8,8,9,9,9,10,10}.
Expert Solution
Step 1
Data set = {8,8,9,9,9,10,10}
Here, n=7
Mean of the data is (8+8+9+9+9+10+10)/7 = 63/7 =9
The deviation is calculated as:
d^2 =(8-9)^2+(8-9)^2+(9-9)^2+(9-9)^2+(9-9)^2+(10-9)^2+(10-9)^2=4
The formula for variance is Sigma d^2/ n-1 for unbiased value=
V =4/6 =0.666667
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