Question

find the mean of the data using empirical formula when it is given that mean 50.5 and median is 45.5

Answer 1

Empirical formula :
3 Median = Mode + 2 Mean

3 * 45.5 = 50.5 + 2 Mean
2 Mean = 136.5 - 50.5
2 Mean = 86
Mean = 43

Answer 2

The mean of the data is 43.

Step-by-step explanation:

Given,

Mode = 50.5 and median = 45.5

To find, the value of mean = ?

We know that,

The empirical formula

3(Median) = Mode + 2(Mean )

⇒ 2(Mean ) = 3(Median) - Mode

⇒ Mean  = $\dfrac{3(Median) - Mode}{2}$

$=\dfrac{3(45.5)-50.5}{2}$

$=\dfrac{136.5-50.5}{2}$

$=\dfrac{86}{2}$

= 43

Hence, the mean of the data is 43.