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# Following is the Distribution of I.Q. of Loo Students. Find the Median I.Q. - CBSE Class 10 - Mathematics

#### Question

Following is the distribution of I.Q. of loo students. Find the median I.Q.

 I.Q.: 55 - 64 65 - 74 75 - 84 85 - 94 95 - 104 105 - 114 115 - 124 125 - 134 135 - 144 No of Students: 1 2 9 22 33 22 8 2 1

#### Solution

 Class interval(inclusive) Class interval(exclusive) Frequency Cumulative frequency(c.f) 55 - 64 54.5 - 64.5 1 1 65 - 74 64.5 - 74.5 2 3 75 - 84 74.5 - 84.5 9 12 85 - 94 84.5 - 94.5 22 34 95 - 104 94.5 - 104.5 33 67 105 - 114 104.5 - 114.5 22 89 115 - 124 114.5 - 124.5 8 97 125 - 134 124.5 - 134.5 2 99 135 - 144 134.5 - 144.5 1 100 N = 100

Here, N = 100

So, N/2 = 50

Thus, the cumulative frequency just greater than 50 is 67 and the corresponding class is 94.5−104.5.

Therefore, 94.5−104.5 is the median class.

Here, l = 94.5, f = 33, F = 34 and h = 10

We know that,

Median =l+{(N/2-F)/f}xxh

=94.5+((50-34)/33)xx10

=94.5+160/33

94.4.85

99.35

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Solution Following is the Distribution of I.Q. of Loo Students. Find the Median I.Q. Concept: Median of Grouped Data.
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