Question

question #4
the number of hours 4 students spend on a math assignment for each day of a week is listed in the table.

student	time spent (in hours)
sarah	4, 3, 5, 3, 6, 7, 4
tina	4, 3, 2, 6, 3, 3, 5
wayne	2, 1, 2, 3, 6, 3, 5

the data for which student has the largest interquartile range?
a kevin
b sarah
c tina
d wayne

Explanation:

Step1: Sort Kevin's data

Sort 2, 8, 5, 6, 3, 7, 4 to 2, 3, 4, 5, 6, 7, 8. $Q_1$ is the 2nd - value 3, $Q_3$ is the 6th - value 7. Inter - quartile range (IQR)=$Q_3 - Q_1=7 - 3 = 4$.

Step2: Sort Sarah's data

Sort 4, 3, 5, 3, 6, 7, 4 to 3, 3, 4, 4, 5, 6, 7. $Q_1$ is the 2nd - value 3, $Q_3$ is the 6th - value 6. IQR=$6 - 3 = 3$.

Step3: Sort Tina's data

Sort 4, 3, 2, 6, 3, 3, 5 to 2, 3, 3, 3, 4, 5, 6. $Q_1$ is the 2nd - value 3, $Q_3$ is the 6th - value 5. IQR=$5 - 3 = 2$.

Step4: Sort Wayne's data

Sort 2, 1, 2, 3, 6, 3, 5 to 1, 2, 2, 3, 3, 5, 6. $Q_1$ is the 2nd - value 2, $Q_3$ is the 6th - value 5. IQR=$5 - 2 = 3$.

Answer:

A. Kevin