Find the information of median below :
12 13 14 15 16 17 18 19 20
7 10 15 18 20 10 9 8 3
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bro ans is 2 in my exam this question came
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Correct Question :-
Find median of the data given below :-
- 12, 13, 14, 15, 16, 17, 18, 19, 20,
- 7, 10, 15, 18, 20, 10, 9, 8, 3.
Answer :-
- The median of the given data = 14.5
To find :-
- The median of the given data.
Step-by-step explanation :-
- Here, the number of observations is 18, which is even.
Middle value is calculated by arranging the observations in ascending order and then, half of the number of observations is done. Here, number of observations is 18. So, half of it would be 9. It means that we need to pick two numbers which have taken place at 9th position from both starting and ending.
Arranging the data in ascending order,
- 3, 7, 8, 9, 10, 10, 12, 13, 14, 15, 15, 16, 17, 18, 18, 19, 20, 20.
We observe that :-
- Here, there are two middle observations, 14 and 15.
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We know that :-
Here,
- Sum of the numbers = 14 + 15.
- Total numbers = 2.
Hence,
------------------------------------
- The average of 14 and 15 is 14.5
Therefore,
- Median of the given data is 14.5
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