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

Answer:

Option b is correct.

mean = 20 ;  range = 29

Step-by-step explanation:

Formula for mean is given by:

$\overline{x}= \frac{1}{n} \sum_{i=1}^{n} x_i$

Given that:

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

Here,

Total number of observations(n) = 8

$\overline{x}= \frac{1}{8} \sum_{i=1}^{8} x_i$

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

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