Question

if the median of the data 2x 4x 3x is 6. find mean​

Answer 1

Answer:

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Step-by-step explanation:

If the median of the data 2x 4x 3x is 6. then mean 4.5

Answer 2

Given,

2x , 4x , 3x as the data

Median of the data = 6

To find,

Mean of the data

Solution,

Median of the data is the middle most term.

Since, we have odd number of observations, that is 3,

Median = $\frac{n+1}{2} th$ observation

Median = 2nd observation

The given data is not in an ascending order.

Let's arrange it first.

2x<3x<4x

So, our data will be 2x, 3x, 4x

3x = 6

x = 2

So, substitute x in the data.

2x = 2(2) = 4

3x = 3(2) = 6

4x = 4(2) = 8

The data is 4,6,8.

We are supposed to find mean now.

Mean = {Sum of Observation} ÷ {Total numbers of Observations}.

Sum of observations = 4 + 6 + 8 = 18

Total number of observations = 3

Mean = $\frac{18}{3} = 6$

Hence, mean of the data is 6.