Question

Consider the data set.

• 2,3,4,6,9
• (a)

Find the range. (Enter an exact number.)

(b)

Use the defining formula to compute the sample standard deviation s. (Enter a number. Round your answer to two decimal places.)

Answer 1

We have given,

2, 3, 4, 6, 9

a) Range: range is computed by using below formula.

Range = Largest value in data - Smallest value in data

= Max - Min

= 9 - 2

Range = 7

b) Sample standard deviation:

First we have to compute sample mean () using below formula,

To find sample standard deviation (s), we have to construct below table

X	X -	(X - )2
2	-2.8	7.84
3	-1.8	3.24
4	-0.8	0.64
6	1.2	1.44
9	4.2	17.64
	Total	30.8

Sample standard deviation is calculated using below formula,

therefore, sample standard deviation s = 2.77