Here is an ogive of the distribution of students' marks on their statistics test. Choose the boxplot that represents the given data.
I
II

III

IV
V

A)I
B)II
C)III
D)IV

Question

Here is an ogive of the distribution of students' marks on their statistics test.  Choose the boxplot that represents the given data.
I  
II  
 
III
 
IV  
V

A)I 
B)II 
C)III 
D)IV

Quizplus · Accepted Answer

The given ogive is a cumulative frequency graph, which shows the total number of students scoring up to a certain mark. The boxplot that represents this data correctly should have a box extending from the first quartile (25th percentile) to the third quartile (75th percentile), with a line inside marking the median (50th percentile). The whiskers should extend up to the highest and lowest observations within 1.5 times the interquartile range (IQR) of the box. Choice IV correctly represents these features, while the other options do not.

Here Is an Ogive of the Distribution of Students' Marks