Question

question #14 the data below show the time that four friends spent studying each day for a week. the data for which student has the largest inter - quartile range? a john b vanessa c ashley d eric

Explanation:

Step1: Recall IQR definition

The inter - quartile range (IQR) is the difference between the third quartile ($Q_3$) and the first quartile ($Q_1$), i.e., $IQR = Q_3 - Q_1$. In a box - and - whisker plot, the length of the box represents the IQR.

Step2: Measure box lengths

For John, the length of the box (IQR) is from approximately 3 to 5, so $IQR_{John}=5 - 3=2$.
For Vanessa, the length of the box (IQR) is from approximately 2.5 to 4, so $IQR_{Vanessa}=4 - 2.5 = 1.5$.
For Eric, the length of the box (IQR) is from approximately 3 to 5, so $IQR_{Eric}=5 - 3=2$.
For Ashley, the length of the box (IQR) is from approximately 2 to 5.5, so $IQR_{Ashley}=5.5 - 2=3.5$.

Answer:

C. Ashley