Question

Find the median, if the mean and mode of the distribution are 20 and 25 respectively.​

Answer 1

Given:

the mean and mode of the distribution are 20 and 25 respectively.​

To Find:

Find the median,

Solution:

The Mean(mu) is described as the standard average or midpoint of the observations which is calculated when the sum of all findings is divided by the number of findings.

The Median(M) is described as the medial value of the findings when the finding is arranged in increasing order.

The Mode(Mo) is described as the highest number a value has repeated itself in the data group.

The relationship between Mean(mu), Median(M) and Mode(Mo) can be shown as,

3(mean-median)=mean-mode

Now put the values of Mean(mu) and Mode(Mo) to get the value of Median(M) we have,

3(20-median)=20-25

3median-60=5

median=65/3

            =21.67

Hence, the value of the Median(M) is 21.67.