5
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find median Of given data
3, 6, 7, 10, 12, 16, 19:20, 25, 28
Answers
Arrange the given nos. in ascending order:
3,6,7,10,12,16,19,20,25,28
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Average of 12 and 16
=(12+16)/2=28/2=14
Concept:
Median is the middle number vlaue of the given data when arranged in increasing order.
Given:
3, 6, 7, 10, 12, 16, 19, 20, 25, 28
Find:
We are asked to find the Median of the given data.
Solution:
3, 6, 7, 10, 12, 16, 19, 20, 25, 28
First arrange the data in increasing order.
No count the number of values to check whether the count of the total numbers is even or odd.
We have, Total 10 numbers, which means the count is even.
So,
We will use;
Average of (n/2) th and (n/2 + 1) th numbers.
i.e.
10/2 = 5 th number
10/2 + 1 = 6 th number
Now,
Average of 5 th and 6 th numbers,
( 12 + 16 ) / 2 = 28/2 = 14
Hence, the median of the given data is 14.
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