High School

The following are drying times (in minutes) for an adhesive product: 85.7, 101.4, 91.6, 83.5, 96.2, 88.0, 103.6, 97.9.

Find the sample standard deviation of the data.

A. 7.71
B. 7.83
C. 7.42
D. 7.54
E. 7.66

Answer :

Sample standard deviation is 7.42 .

Given,

Drying times (in minutes) for an adhesive product. 85.7, 101,4, 91.6, 83.5, 96.2, 88.0, 103.6, 97.9 .

Now,

Firstly calculate the mean

Mean = 85.7+ 101.4+ 91.6+ 83.5+ 96.2+ 88.0+ 103.6+ 97.9 /8

Mean = 747.9/8

Mean = 93.4875

Now

Standard deviation,

SD = √1/7 Σ (Xi -X )²

I varies from 1 to 8 .

SD = √1/7 [(85.7 - 93.4875)² + (101.4 - 93.4875)² + (91.6 - 93.4875)² + (83.5 - 93.4875)² + (96.2 - 93.4875)² + (88- 93.4875)² + (103.69 - 93.4875)² + (97.9 - 93.4875)² ]

SD = 7.42

Thus the SD is 7.42 . Option C is correct .

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