Question

Compute the (sample) variance and standard deviation of the data sample. (Round your answers to two...

Compute the (sample) variance and standard deviation of the data sample. (Round your answers to two decimal places.)

−1, 7, 7, 5, 12

variance 22
standard deviation     ?

Homework Answers

Answer #1

Solution :

Given that,

x x2
- 1 1
7 49
7 49
5 25
12 144
x = 30 x2 = 268

The  sample variance S2

  S2 = ( x2 ) - (( x )2 / n ) / 1 -n )

= ( 268 (- (30 )2 / 5 ) /4

   = ( 268 -180 ) 4

=88 /4

= 22

The  sample variance S2 = 22

The sample standard is S =   The  sample variance S2

=   22

= 4.6904

The sample standard is S = 4.69

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