The ages of people attending the opening show of a new movie are summarized in the ogive shown. Estimate the IQR of the ages.
A) 30
B) 5
C) 13
D) 37
E) 21

Question

The ages of people attending the opening show of a new movie are summarized in the ogive shown. Estimate the IQR of the ages. 
A) 30 
B) 5 
C) 13 
D) 37 
E) 21

Quizplus · Accepted Answer

To estimate the IQR, we must first find the median, Q1, and Q3 values. From the ogive, we can estimate the median to be around 40 years old. To approximate Q1, we find the 25th percentile, which is approximately 32 years old. To approximate Q3, we find the 75th percentile, which is approximately 45 years old.

Therefore: 
Median = 40
Q1 = 32
Q3 = 45

We can now calculate the IQR: 
IQR = Q3 - Q1 
IQR = 45 - 32 
IQR = 13

Therefore, the estimated IQR of the ages is 13, which corresponds to choice C.

The Ages of People Attending the Opening Show of a New