1. The following table shows the wages made by students at summer jobs. Calculate the percentile rank of a student earning $14.00/hour. (Value: 3 pts)
Students' hourly wages
Wage per hour. Number of students
$9.90. 59
$10.50. 51
$12.00. 58
$14.00. 88
$16.00. 62
To calculate the percentile rank of a student earning $14.00/hour, we first need to add up the number of students with lower wages.
$9.90/hour: 59 students
$10.50/hour: 51 students
$12.00/hour: 58 students
Total number of students with lower wages = 59 + 51 + 58 = 168
Now, we calculate the percentile rank using the formula:
Percentile Rank = (Number of values less than x) / (Total number of values) x 100%
Percentile Rank = 168 / 88 + 168 x 100%
Percentile Rank = 168 / 256 x 100%
Percentile Rank = 0.65625 x 100%
Percentile Rank = 65.625%
Therefore, the percentile rank of a student earning $14.00/hour is 65.625%.