Question
Consider this sample of lengths in inches {73, 63, 67, 72, 79, 62, 59, 66, 67,...
Consider this sample of lengths in inches {73, 63, 67, 72, 79, 62, 59, 66, 67, 71}
find the:
a) variance
b) standard deviation
please show work so i can understand.
Homework Answers
Answer #1
Solution:
Given that
The mean of sample is 
x/n
= ( 73+ 63+ 67+ 72+ 79+ 62+ 59+ 66,+ 67+ 71)
= 679 / 10
= 67.9
The sample mean is 67.9
Sample standard deviation is s
s = 
1/(n-1)(x - )2
= 1/9 (73 - 67.9 )2+ (63
- 67.9 )2+ (67 - 67.9 )2+ (72- 67.9
)2 +( 79 - 67.9 )2+ (62 - 67.9 )2
+ (59 - 67.9 )2+ (66 - 67.9 )2+ (67 - 67.9
)2+ (71 - 67.9 )2
= 1/9
(26.1+24.01+0.81+16.81+123.21+34.81+79.21+3.61+0.81+9.61 )
= 318..87 / 9
= 35.43
a ) Variance = 35.43
b ) Stanstard deviation = 5.95
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