Question

2. If the difference of mode and median of a data is 24, then the difference of median and
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Answer 1

Step-by-step explanation:

let mode be x

then median 24-x

mode= 3median-2mean

Answer 2

If the difference of mode and median of a data is 24, then the difference of median and mean is 12

Given :

The difference of mode and median of a data is 24

To find :

The difference of median and mean

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that difference of mode and median of a data is 24

∴ Mode - Median = 24

∴ Mode = 24 + median

Step 2 of 2 :

Find the difference of median and mean

We know that

Mode = 3 × Median - 2 × Mean

⇒ 3 × Median - 2 × Mean = 24 + median

⇒ 2 × Median - 2 × Mean = 24

⇒ Median - Mean = 24/2

⇒ Median - Mean = 12

The difference of median and mean is 12

Correct question : If the difference of mode and median of a data is 24, then find the difference of median and mean.

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