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Q.

What is the mean of median and mode of the given data?

6, 2, 5, 4, 3, 4, 4, 2, 3

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a

1

b

4

c

3

d

2

answer is B.

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Detailed Solution

Given data: 6, 2, 5, 4, 3, 4, 4, 2, 3.
Arranging the data in ascending order,
2, 2, 3, 3, 4, 4, 4, 5, 6
As we know the median is the middle observation of the data set.

∴

median = 4
Also, the term in the data that occurs a maximum number of times is known as mode.
So, mode= 4.
Now as we know the arithmetic mean of a data is the sum of all observations divided by the total number of observations.
The formula to calculate the mean:
Mean = Sum of observations ÷ Number of observations
Applying the formula:
Mean

= M e d i a n + M o d e 2

M e a n = 4 + 4 2 = 82 = 4

So, the mean of its median and its mode is 4.
Hence, option 2 is correct.

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