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

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

Answer

Explanation:

Step1: Sort the data (already sorted)

The data set of ages of 36 executives is given as is.

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

There are 11 data - values that are 37 or less (30, 30, 31, 32, 32, 33, 33, 34, 36, 36, 37).

Step3: Use the percentile formula

The formula for the percentile $P$ is $P=\frac{\text{number of data values less than or equal to the value}}{\text{total number of data values}}\times100$. Here, the total number of data values $n = 36$, and the number of data values less than or equal to 37 is 11. So, $P=\frac{11}{36}\times100=\frac{1100}{36}\approx30.56$.

Answer:

Approximately 31st percentile (rounded to the nearest whole number)