Question

If value of mode is 14 and median is 8,then what is value of arithmetic mean

Answer 1

3 median equal to mode plus 2mean

3median equal to 14 plus 2mean

3median 14plus 2 mean

24 equal to 14 plus 2mean

10 equal to 2 mean

mean equal to 5

MEAN 5

Answer 2

The arithmetic mean is 5.

Step-by-step explanation:

Given : If value of mode is 14 and median is 8.

To find : What is value of arithmetic mean ?

Solution :

The relationship between mean, mode and median is given by Empirical formula,

$2\ \text{Mean= 3 Median - Mode}$

Here, Mode = 14

Median = 8

Substitute the values,

$2\ \text{Mean}= 3(8) - 14$

$2\ \text{Mean}=24 - 14$

$2\ \text{Mean}=10$

$\text{Mean}=\frac{10}{2}$

$\text{Mean}=5$

Therefore, the arithmetic mean is 5.

#Learn more

If median is 31 and arithmetic mean is33 then the value of mode will be

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