Question

The following are the weights of 10 young dogs, in pounds: 7, 5, 11, 8, 14, 19, 16, 15, 13, 27 What proportion of the measurements lie in the interval LaTeX: \bar x \pm 2sx

Answer 1

0.9

Explanation:

Given that data:

x : 7, 5, 11, 8, 14, 19, 16, 15, 13, 27

Mean = Σx / n

Using calculator :

Mean (m) = 13.5

Standard deviation (s) = 6.433

Proportion that lies in mean ± 2s

Lower = Mean - 2s

13.5 - 2(6.433) = 0. 632

Upper = Mean + 2s

13.5 + 2(6.433) = 26.376

Mean ± 2(sd) = (0.632, 26.276)

The only digit from the data which falls outside the defined range = 27

Proportion within interval = 9 / n

Proportion which falls within range = 9/10 = 0.9