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Question

and are the first and third quartiles for the following data.
12, 5, 7, 3, 1, 13, 17, 5, 19, 13, 1

A
Q1=3
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B
Q3=9
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C
Q3=13
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D
Q1=13
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Solution

The correct options are
A Q1=3
C Q3=13
Arrange the data in ascending order.
1,1,3,5,5,7,12,13,13,17,19

Here, N=11
Q1= Size of (N+14)th observation
= Size of 3rd observation = 3
Q3= Size of 3(N+14)th observation
= size of 9th observation = 13

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