Question

Find the mean of a distribution if it's median and mode are 45 and 13 respectively.

Answer 1

Answer:

we know that 3Median = mode +2mean

3×45=13+2mean

135=13+2mean

135-13=2mean

122÷2=mean

61= mean

hence the mean is 61

Answer 2

Answer:

The mean of the distribution is 61.

Step-by-step explanation:

They have given that the median of the distribution is 45

They have given that the mode of the distribution is 13

To find the mean of the distribution, let's consider

The relationship between the mean, mode, and median is given by

Mode = 3 Median - 2 Mean

Therefore,

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

$Mean = \frac{(3)(45)-(13)}{2}$

$Mean = \frac{135-13}{2}$

$Mean = \frac{122}{2}$

Mean = 61

Therefore the mean of the distribution is 61.