Question

If median=16,mode=20 then mean is ____

Answer 1

If median = 16 , mode = 20 then mean is 14

Given :

median = 16 , mode = 20

To find :

The value of mean

Formula :

Mode = 3 × Median - 2 × Mean

Solution :

Step 1 of 2 :

Write down the given data

Here it is given that median = 16 , mode = 20

Step 2 of 2 :

Find the mean

Mode = 3 × Median - 2 × Mean

⇒ 20 = 3 × 16 - 2 × Mean

⇒ 20 = 48 - 2 × Mean

⇒ 2 × Mean = 48 - 20

⇒ 2 × Mean = 28

⇒ Mean = 28/2

⇒ Mean = 14

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Answer 2

Given,

For a set of data,

Median = 16

Mode = 20

To find,

The mean value of the data.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

3 × median = 2 × mean + mode

=> mean = {3(median) - (mode)}/2

{Equation-1}

Now, according to equation-1;

The mean value of the data

= {3(median) - (mode)}/2

= {3(16) - (20)}/2

= {48 - 20}/2

= 28/2 = 14

Hence, the mean value of the data is equal to 14.