The following distribution shows the daily pocket allowance given to the children of a multistory building. The average pocket allowance is Rs. 18.00. Find out the missing frequency.
class interval: 11-13 13-15 15-17 17-19 19-21 21-23 23-25
Frequency: 7 6 9 12 - 5 4
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Statistics
Statistics is a branch of mathematics that deals with the collection, organization, interpretation, and presentation of data in a required manner.
Some common Statistical Terms :-
- Mean
- Median
- Mode
- Standard Deviation
- Variance
Here, we are going to solve a question based on mean.
Let the missing frequency be x.
Mean = Σfixi/Σfi
Now, in the question the mean is given which is 18.
So,
18 = (734+20x)/(43+x)
By cross-multiplying we get :-
774 + 18x = 734 + 20x
774 - 734 = 20x - 18x
40 = 2x
x = 20
So, the missing frequency is 20.
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