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Question: Age in years of twenty secondary school students visiting the zoo on a week day were recorded. The results were :
12, 16, 10, 19, 17, 10, 10, 11, 11, 11, 11, 12, 12, 11, 12, 13, 12, 14, 15, 18
Construct an ogive and find the median age and the interquartile range of ages.


A ) 10 years, 10
B ) 9 years, 3.5
C ) 10.5 years, 14.0
D ) 11.4 years, 3.7

Steps to derive



2 Draw ogive with the age of students on x - axis and cumulative frequencies on y - axis as shown.


3 Median age (50th percentile) = 11.4 years
 [From the graph.]

4 25th percentile = Q1 = 10.3 years
 [From the graph.]

5 75th percentile = Q3 = 14 years
 [From the graph.]

6 Inter quartile range = IQR = Q3 - Q1 = 14 - 10.3 = 3.7



Hence the right answer is Option D

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