Question

will the median class and modal class of group data always be different justify your answer

Answer 1

No,

median gives the middle value of the data.

whereas mode gives the maximum occurring frequency.

if the median comes to the maximum occurring frequency then mode and median will be equal..

_________________

hope you understand the concept.

☺☺☺

Answer 2

Answer:

Step-by-step explanation:

No they are not same always ,

As , we know " In statistics, modal class refers to the group of statistical data that is made up of the highest frequencies. It is the class in the frequency distribution table, which is made up of the highest number of data points.

For example,

Numbers Frequency

( 60 - 63 ) 5

( 63 - 66 ) 18

( 66 - 69 ) 28

( 69 - 72 ) 42

( 72 - 75 ) 7

So Modal class = ( 69 - 72 ) as that have maximum frequency ( as 42 )

And

Median class : The total frequency is 5 + 18 + 28 + 42 + 7 = 100

So there are 100 students who obtained numbers in exam .

Now halving 1000, you get 50, so the median occurs on the 50th student down the frequency table.

Now if you add up the first 3 rows you go past the number 50 when you reach the ( 60 - 69 ) numbers group (5 + 18 + 28 = 51 ).

Therefore, the median class interval for the given table = ( 66 - 69 )

So

we can see that both modal class and median class differ from each other .