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

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

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Solution

(a) To find the percentile of 31, we first need to determine its position in the data set. We can see that 31 is the 11th and 12th value in the data set. Since there are 32 values in total, we can calculate the percentile as follows:

Percentile = (Position / Total number of values) * 100

Percentile of 31 = ((11.5) / 32) * 100 = 35.94, which rounds to 36th percentile.

(b) Similarly, to find the percentile of 72, we see that 72 is the 28th value in the data set. So, we calculate the percentile as follows:

Percentile of 72 = (28 / 32) * 100 = 87.5, which rounds to 88th percentile.

This problem has been solved

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Find the percentile of 72.

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