Question

Below are 36 sorted ages of an acting award winner. find the percentile corresponding to age 3838 using the method presented in the textbook. 1818 1919 2020 2020 2121 2323 2525 3131 3333 3434 3535 3737 3838 4747 5050 5151 5555 5555 5858 5959 6262 6262 6464 6666 6969 7070 7070 7070 7171 7171 7272 7474 7474 7575 7777 8080 percentile of value 3838equals=nothingm ​(round to the nearest integer as​ needed.)

Answer 1

Question:

Below are 36 sorted ages of an acting award winner. find the percentile corresponding to age 38 using the method presented in the textbook. 18 19 20 20 21 23 25 31 33 34 35 37 38 47 50 51 55 55 58 59 62 62 64 66 69 70 70 70 71 71 72 74 74 75 77 80 percentile of value 38 = ______ ​(round to the nearest integer as​ needed.)

Answer:

33 percentile

Step-by-step explanation:

Given the ages:

18, 19, 20, 20, 21, 23, 25, 31, 33, 34, 35, 37, 38, 47, 50, 51, 55, 55, 58, 59, 62, 62, 64, 66, 69, 70, 70, 70, 71, 71, 72, 74, 74, 75, 77, 80.

We are told to find the percentile corresponding to age 38.

To find the percentile corresponding to age 38 simply means to find the percentage of ages that are less than 38.

From the given values, the number of ages less than 38 are 12. Therefore, the percentile corresponding to age 38 would be:

(Ages less than 38/ total number of ages) * 100

$= \frac{12}{36} * 100 = 33.333$

33.333 ≈ 33

The percentile corresponding to age 38 = 33 percentile