Answer:
The percentile rank of the data value 73 is 84.
Step-by-step explanation:
In this problem, you want to find the percentile rank of the data value 73 in the data set.
The percentile rank represents the percent of numbers in the data set that have value equal or less than 73.
Take note that there are 25 data values in this data set. It's helpful to sort them in ascending order.
Of these 25 data values, 21 are less than or equal to the data value 73. To find the percentile rank of 73, apply the formula:
percentile rank = (L/N)(100)
where L is the number of data values that are less than or equal to 73, and N is the size of the data set.
Substituting in values for this problem, we have:
percentile rank = (21/25)(100)
percentile rank = (0.84)(100)
Percentile ranks are always expressed as whole numbers.
Evaluating the multiplication above and rounding to the nearest whole number we have:
percentile rank = 84
Interpreting our answer, 84% of the numbers in the data set have values less than or equal to 73.
