Question

Consider the data set. 2,3,4,6,9 (a) Find the range. (Enter an exact number.) (b) Use the...

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.)

Homework Answers

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

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