Question

if thd difference of mode and median of a data is 24 then the difference of median snd mean is what?​

Answer 1

Step-by-step explanation:

Given:-

The difference of mode and median of a data is 24.

To find:-

Find the difference of median and mean?

Solution:-

Given that

The difference of mode and median of a data =

24.

Mode - Median = 24

Mode = 24 + Median -------------(1)

We know that

The relationship among the mean ,median and mode is Mode = 3 Median - 2Mean----(2)

On Substituting the value of Mode from (1) in (2) then

=> 24 + Median = 3 Median - 2Mean

=> 24 = 3 Median - 2Mean - Median

=> 24 = 4 Median -2 Mean

=> 24 = 2( 2Median -Mean)

=> 24/2 = 2 Median -Mean

2 Median - Mean = 12

or if the given problem like this

Correction:-

if the difference of mode and mean of a data is 24 then find the difference of median and mean?

The difference of mode and mean of a data =

24.

Mode - Mean =24

=> Mode = 24+Mean ------(1)

We know that

The relationship among the mean ,median and mode is Mode = 3 Median - 2Mean----(2)

On Substituting the value of Mode from (1) in (2) then

=> 24+Mean = 3 Median - 2Mean

=> 24 = 3 Median -2 Mean -Mean

=> 24 = 3 Median -3 Mean

=> 3 Median -3 Mean = 24

=> 3( Median -Mean) = 24

=> Median - Mean = 24/3

Median - Mean = 8

Answer:-

The difference between the median and the mode of the data is 8

Used formulae:-

• Mean,Median and Mode are called the measurements of the central tendency.
• The relationship among the mean ,median and mode is Mode = 3 Median - 2Mean.