Question

Which relation among three measures of central tendency, mean, median, and mode is correct ? ​

Answer 1

Step-by-step explanation:

The empirical relationship between the three measures of central tendency is 2 mean = 3 median – mode. SOLUTION: An empirical relationship exists between mean mode and median. 2 mean = 3 median – mode.

A distribution is said to be symmetrical when the values of mean, median and mode are equal. ... In a positively skewed distribution, the median and mode would be to the left of the mean. That means that the mean is greater than the median and the median is greater than the mode (Mean > Median > Mode) .

Answer 2

Given :  Relation among three measures of central tendency, mean, median, and mode

To Find :  which one is correct

a) (mode = 3 mean –2 median)

b) (mode = 2 median –3 mean)

c) (mode = 3 median–2 mean)

d) (mode = 3 median +2 mean) ​

Solution:

if distribution is Normal  then Mean = Median = Mode

When the frequencies are not properly distributed it is called as an asymmetrical / skewed distribution.

If it is moderately asymmetrical distribution

the below mentioned empirical relationship holds good

Mode = 3 median - 2 mean

it was  given by Karl Pearson

option c is correct

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