Question 70

What is the sum of the median and mode of the data

8, 1, 5, 4, 9, 6, 3, 6, 1, 3, 6, 9, 1, 7, 2, 6, 5 ?

Solution

Arrange the given data in ascending order which is given below.

1, 1, 1, 2, 3, 3, 4, 5, 5, 6, 6, 6, 6, 7, 8, 9, 9

Median = middle term of the given data after arranging them in ascending order

Here 17 numbers are given. So the median will be the 9th number from the left end. It's 5.

Mode = maximum number of times a number is occurring in the given data

= 6 (It is coming four times in the given data)

Sum of the median and mode of the data = 5+6

= 11


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