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.) 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 31. (b) Find the percentile of 72.

Answer 1

Here total 32 ages for academy award winning best actors.

Here data is already smallest to largest i.e in ascending order.

Here n=32

a) Percentile of 31

31 is at the 10th and 11th place

Percentile is 31 = ((10+11)/2)/32 = 0.3281 = 32.81% = 33th

Percentile of 31 is 33%

b) Percentile of 72

72 is at the 28th place

Percentile of 72 = 28/32 = 0.875 = 87.50 = 88%

Percentile of 72 is 88%