Question

find the mean and range. 18 23 10 39 22 17 16 15 a. mean = 20; range = 32 b. mean = 20; range = 29 c. mean = 18.1; range = 28 d. mean = 21.9; range = 29

Answer 1

the answer is b. mean=20 range=29

Answer 2

Option b is correct.

mean = 20 ; range = 29

Explanation:

Formula for mean is given by:

`\overline{x}= (1)/(n) \sum_(i=1)^(n) x_i`

Given that:

18, 23, 10, 39, 22, 17, 16, 15

Here,

Total number of observations(n) = 8

`\overline{x}= (1)/(8) \sum_(i=1)^(8) x_i`

⇒
`\overline{x}= (1)/(8)(18+23+10+39+22+17+16+15) = (160)/(8) = 20`

Therefore, the mean for the given data is, 20

Formula for range (R) is given by:

`R = x_{\text{max}} - x_{\txt{min}}`

From the given data:

`x_{\text{max}} = 39` and
`x_{\text{min}} = 10`

then;

`R = 39-10 = 29`

Therefore, the range for the given data is, 29