Question

If the difference between mean and mode of a data is 10.5, then the difference between its median and mean is (where mode, median > mean)

Answer 1

Answer:

3 Median= 2 Mean + Mode (Empirical relation)

That is Mode= 3 Median- 2 Mean

= (3× 9.6) - (2×10.5) since given Mean= 10.5 and Median = 9.6

= 7.8

Step-by-step explanation:

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Answer 2

The difference between its median and mean is 3.5

Given : The difference between mean and mode of a data is 10.5

To find : The difference between its median and mean

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that difference between mean and mode of a data is 10.5

Mode - Mean = 10.5

Step 2 of 2 :

Find the difference between its median and mean

We know that , for mode, median > mean

Mode - Mean = 3 ( Median - Mean )

⇒ 3 ( Median - Mean ) = 10.5

⇒ Median - Mean = 3.5

Thus difference between its median and mean is 3.5

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