Question

If z=18 and X=22.5 then what is the value of median?

Answer 1

Given:

We are given Mode = z = 18 , Mean = X = 22.5 for a distribution.

To find:

We need to find the median of the distribution.

Solution:

For a particular distribution, mean, median, and mode are mathematically related to each other.

The mathematical relation between mean, median, and mode is:

                                Mode = 3 Median – 2 Mean

Putting the values of mode and mean in the relationship that is given in the question.

                                         18 = 3 Median – 2×(22.5)

                                         18 = 3 Median – 45

                                 18 + 45 = 3 Median

                                         63 = 3 Median

                                          $\frac{63}{3}$ =  Median

                                         21 =  Median

Solution:

The median of the given distribution comes out to be 21.              

Answer 2

ANSWER:

The value of the median will be $21$.

Step-by-step explanation:

Given: The value of z $= 18$ which is the mode.

            The value of x $= 22.5$ is the mean.

To find The value of the median

Solution:

• The formula for calculating the Mode is $3 Median - 2 Mean$
• As the value of the Median is not known let's take it as x.
• $18 = 3$x $-2(22.5)$
• $3$x = $18 + 45$
• x $= 21$
• Therefore, the value of the median is $21.$

PROJECT CODE: #SPJ2