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Question

100 surnames were randomly picked up from a local telephone directory & the frequency distribution of the number of letters in the English alphabets in the surname was obtained as follows.

Number of letters1−44−77−1010−1313−1616−19Number of surnames630401644
Determine the median number of letters in the surnames.


A
8.05
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B
9.05
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C
10.05
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D
7.55
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Solution

The correct option is A 8.05

C.IFrequencyC.F1466473036710407610131692131649616194100

Here n=100 & n2=50
hence median class = 7-10

Now, we see that the 50th observation on the graph by extending it to the ogive.

The value for median seen from the graph is 8.05.


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