Question

Use the statistical capacity of your calculator to find the sample standard deviation of the following sample: 7.6, 13.2, 3.1, 5.6, 12.3, 9.4 to two places of decimal.

Your Answer:

Answer 1

Solution:

Given that,

7.6, 13.2, 3.1, 5.6, 12.3, 9.4

a )The mean of sample is   

x/n =  (7.6+ 13.2+ 3.1+ 5.6+ 12.3+ 9.4 / 6)

= 8.53

The sample mean is 8.53

Sample standard deviation is s

s = 1/(n-1)(x - )²

⁼  1/5 (7.6 - 8.53 )²+ (13.2 - 8.53 )²+ (3.1 - 8.53)²+ (5.6- 8.53 )² +( 12.3 - 8.53 )²+( 9.4 - 8.53 )²

= 15.142666666667

= 3.89

The sample standard deviation is 3.89