Question

In: Statistics and Probability

Compute the range and sample standard deviation for strength of the concrete (in psi). 3910,4080,3300,3100,2940,3870,4082,4040. The...

Compute the range and sample standard deviation for strength of the concrete (in psi).

3910,4080,3300,3100,2940,3870,4082,4040.

The range is ___ psi

s= ___ psi (Round to one decimal place as needed).

Expert Solution

Solution:

Given that,

The Range = Maximum Value - Minimum Value

= 4082 - 2940

= 1142

The Range = 1142

The sample standard deviation is s

x	dx	dx²
3910	245	60025
4080	415	172225
3300	-365	133225
3100	-565	319225
2940	-725	525625
3870	205	42025
4082	417	173889
4040	375	140625
x = 29322	dx =2	dx² = 1566864

S = ( dx² ) - (( dx )² / n ) / 1 -n )

= (1566864 ( (2 )² / 8) / 7

= (1566864 - 0.5 / 7 )

= (1566863.5 / 7 )

= 223737.6429

= 473.1148

The sample standard is = 473.1

orchestra answered 2 years ago

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