Find the median of the following distribution.Class: 3-5-7-9-11-13Frequency: 5 10 10 7 8

# Find the median of the following distribution.Class: 3-5-7-9-11-13Frequency: 5 10 10 7 8

1. A
8.0
2. B
8.10
3. C
8.15
4. D
8.20

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### Solution:

 Class Frequency(y­­) Class mark(x) yx 3-5 5 4 20 5-7 10 6 60 7-9 10 8 80 9-11 7 10 70 11-13 8 12 96 ∑ y = 326 ∑ yx = 326
Class Mark =  Interval 3−5 ⇒   = 4 . So 4 is
Class mark of interval 3−5 and so on.
Step2:
We have the sigma of frequencies is 40 and sigma of yixi is 326 .
So, the mean of the given data is  =
After solving means 326 divided by 40, we get
=$\frac{326}{40}$
The mean value is 8.15

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