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 Find the percentile of 74.

Answer 1

94%

Explanation:

Given the ordered data :

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 percentile of 74;

From the ordered data ; 74 is at the 30th position in the data ;

Hence, 30 / n ; n = sample size

30 / 32 = 0.9375 = 0.9375 * 100% = 93.75%

Hence, the percentile of 74 is 94% (nearest whole number)