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Question: The number of clients visiting a stock market over a 11-day period are as follows:
33, 38, 43, 30, 29, 40, 51, 27, 42, 23, 31
Find the interquartile range.


A ) 37
B ) 4
C ) 13
D ) 28

Steps to derive

1 Arrange the number of clients visiting the stock market in increasing order.
23, 27, 29, 30, 31, 33, 38, 40, 42, 43, 51

2 Median = 33.
 [Median is the middle value of the data set in the order.]

3 So, Q2 = 33
 [Q2 is the median.]

4 The median of the data values less than 33 (median) is Q1.

5 The number of clients visiting the stock market that are less than 33 (median) are 23, 27, 29, 30, 31.

6 Q1 = 29

7 The median of the data values greater than 33 (median) is Q3.

8 The number of clients visiting the stock market that are greater than 33 (median) are 38, 40, 42, 43, 51.

9 Q3 = 42

10 Interquartile range (IQR) = Q3 - Q1 = 42 - 29 = 13.



Hence the right answer is Option C

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