The following values represent the amount of sugar (in grams) per serving in a sample of 5 breakfast cereals.
9 , 5, 16, 14, 6
Calculate the mean
calculate the standard deviation (round to 3 decimals)
Solution:
Given that,
9 , 5, 16, 14, 6
a)The mean of sample is
x/n = (9 + 5+ 16+ 14+ 6 / 5)
=10
The sample mean is
Sample standard deviation is s
s = 1/(n-1)(x - )2
= 1/4 (9 - 10)2+ (5 - 10 )2+ (16 -10)2+ (14- 10 )2 +( 6 - 10 )2
= 23.5
= 4.8476798574163
The sample standard deviation is 4.848
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