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
