Empirical relationship between the three measures of central tendency is

$2 M e a n = 3 M e d i a n - M o d e$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$2 M o d e = 3 M e d i a n - M e a n$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$M o d e = 2 M e a n - 3 M e d i a n$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$3 M e d i a n = 2 M o d e + M e a n$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
$2 M e a n = 3 M e d i a n - M o d e$

Solution:
Since the empirical relationship between the three measures of central tendency is
$2 M e a n = 3 M e d i a n - M o d e$ .
An empirical relationship exists between mean mode and median.
The relationship between the three central tendencies is given as.
$M e a n - M o d e = 3 (M e a n - M e d i a n) M e a n - M o d e = 3 M e a n - 3 M e d i a n$
Rearranging the above equation, we get.
$3 M e a n - M e a n = 3 M e d i a n - M o d e$
Hence, on simplifying we have
$2 M e a n = 3 M e d i a n - M o d e .$
Hence, option A is correct option.

Suggest Corrections

Similar questions

Give one example of a situation in which

(i) The mean is an appropriate measure of central tendency.

(ii) The mean is not an appropriate measure of central tendency but the median is an appropriate measure of central tendency.

write the simpolical relationship between the three measures of central tendency

Join BYJU'S Learning Program