Question

Listed are 32 ages for Academy Award winning best actors in order from smallest to largest. (Round your answers to the nearest whole number.) 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77 (a) Find the percentile of 37. th percentile

Answer 1

34.5

Explanation:

Given the data:

X : 18; 18; 21; 22; 25; 26; 27; 29; 30; 31; 31; 33; 36; 37; 37; 41; 42; 47; 52; 55; 57; 58; 62; 64; 67; 69; 71; 72; 73; 74; 76; 77.

The 37th Percentile :

37/100(n + 1)th term

n = sample size = 32

Therefore,

0.37(32 + 1)th term

0.37(33)th term = 12.21 th term

(12th + 13th) term ÷ 2

(33 + 36) / 2

69 / 2

34.5

The 37th percentile is 34.5