If in a frequency distribution, the mean and median are 21 and 22 respectively, then its mode is approximately equal to:\
Answers
Answered by
4
According to question
It is given that
Mean = 21
and Median = 22
We know the formulas as
Mean - Mode = 3 (Mean - Median)
Thus putting the values
21 - mode = 2 ( 21 - 22)
21 - mode = - 2
So Mode = 23
Thus Value of Mode is 23
It is given that
Mean = 21
and Median = 22
We know the formulas as
Mean - Mode = 3 (Mean - Median)
Thus putting the values
21 - mode = 2 ( 21 - 22)
21 - mode = - 2
So Mode = 23
Thus Value of Mode is 23
Golda:
Please check your answer. You have put wrong values in the question. So, your answer is wrong.
Answered by
6
Solution :-
The empirical relation exists between mean, node and median. This relation is as follows.
Mean - Mode 3(Mean - Median)
Now, Given : Mean = 21 and Median = 22
⇒ 21 - Mode = 3(21 - 22)
⇒ 21 - Mode = 3*(- 1)
⇒ 21 - Mode = - 3
⇒ Mode = 21 + 3
⇒ Mode = 24
So, mode is approximately equal to 24
Answer.
The empirical relation exists between mean, node and median. This relation is as follows.
Mean - Mode 3(Mean - Median)
Now, Given : Mean = 21 and Median = 22
⇒ 21 - Mode = 3(21 - 22)
⇒ 21 - Mode = 3*(- 1)
⇒ 21 - Mode = - 3
⇒ Mode = 21 + 3
⇒ Mode = 24
So, mode is approximately equal to 24
Answer.
The empirical relationship between Mean, Median and Mode is : Mean - Mode = 3(Mean - Median)
Similar questions