Question

Consider the following sample.

10, 18, 8, 10, 16, 6

(a) Find the range.


(b) Find the variance. (Give your answer correct to two decimal places.)


(c) Find the standard deviation. (Give your answer correct to two decimal places.)

Answer 1

(a)

Maximum value of the sample (Max) = 18

Minimum value of the sample (MIn) = 6

Range = (Max - Min) = (18 - 6) = 12

Answer: The range is 12

(b)

Let X denote the sample data

And denote the ith value of X

n = 6 (sample size)

Here is the sample mean

is the sample variance

Answer: The variance is 21.87

(c)

is the sample variance

Sample standard deviation of X = = = 4.68

Answer: The standard deviation is 4.68