14 fill in the blank 1 point the data set below represents the ages of 36 executives. find the percentile…

14 fill in the blank 1 point the data set below represents the ages of 36 executives. find the percentile that corresponds to an age of 37 years old 30 30 31 32 32 33 33 34 36 36 37 37 37 38 38 39 39 41 42 44 45 46 49 49 49 50 51 52 52 54 54 56 56 58 59 62 percentile of 37 = 31 (round to the nearest integer as needed.)

14 fill in the blank 1 point the data set below represents the ages of 36 executives. find the percentile that corresponds to an age of 37 years old 30 30 31 32 32 33 33 34 36 36 37 37 37 38 38 39 39 41 42 44 45 46 49 49 49 50 51 52 52 54 54 56 56 58 59 62 percentile of 37 = 31 (round to the nearest integer as needed.)

Answer

Explanation:

Step1: Sort the data (already sorted).

The data set of ages is given.

Step2: Count the number of data points less than or equal to 37.

There are 11 values that are 37 or less in the data - set of 36 values.

Step3: Use the percentile formula.

The formula for the percentile $P$ is $P=\frac{\text{number of values less than or equal to the value of interest}}{\text{total number of values}}\times100$. So $P = \frac{11}{36}\times100=\frac{1100}{36}\approx30.56$.

Step4: Round to the nearest integer.

Rounding 30.56 to the nearest integer gives 31.

Answer:

31