Question

A student takes ten exams during a semester and receives the following grades: 90, 85, 97, 76, 89, 58, 82, 102, 70, and 67. Find the five-number summary used in a boxplot. Which boxplot best represents the data?

Answer 1

Formula: Minimum = first element of set First Quartile = (n+1)/4 Median = (n+1)/2 Third Quartile = 3(n+1)/4 Maximum = Last element of set. Solution: The five number summary of ( 90, 85, 97, 76, 89, 58, 82, 102, 70, and 67) is, Minimum = 58 First Quartile = 70 Median: = 83.5 Third Quartile = 90 Maximum = 102

Answer 2

Q1: 70
Median: 83.5
Q3: 90