Question

 ਤਿੰਨਾਂ ਕੇਂਦਰੀ ਪ੍ਰਵ੍ਰਿਤੀ ਦੇ ਮਾਪਕਾਂ ਮੱਧਮਾਨ, ਮੱਧਿਕਾ ਅਤੇ ਬਹੁਲਕ ਵਿਚ ਕਿਹੜਾ ਸੰਬੰਧ ਸਹੀ ਹੈ ? Which relation among three measures of central tendency, mean, median and mode is correct? केंद्रीय प्रवृत्ति के तीन माप, मध्यमान,माध्यिका और बहुलक मेँ कौन सा संबंध सही है? *

ਬਹੁਲਕ = 3 ਮੱਧਮਾਨ –2 ਮੱਧਿਕਾ (mode = 3 mean –2 median) (बहुलक = 3 मध्यमान –2 माध्यिका)

ਬਹੁਲਕ = 2 ਮੱਧਿਕਾ –3 ਮੱਧਮਾਨ (mode = 2 median –3 mean) (बहुलक = 2 माध्यिका –3 मध्यमान)

ਬਹੁਲਕ = 3 ਮੱਧਿਕਾ –2 ਮੱਧਮਾਨ (mode = 3 median–2 mean) (बहुलक = 3 माध्यिका –2 मध्यमान)

ਬਹੁਲਕ = 3 ਮੱਧਿਕਾ +2 ਮੱਧਮਾਨ (mode = 3 median +2 mean) (बहुलक = 3 माध्यिका +2 मध्यमान)

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Answer 1

Answer:

ਬਹੁਲਕ = 3 ਮੱਧਮਾਨ –2 ਮੱਧਿਕਾ (mode = 3 mean –2

Answer 2

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

To Find : which one is correct

(mode = 3 mean –2 median)

(mode = 2 median –3 mean)

(mode = 3 median–2 mean)

(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

Mode = 3 median - 2 mean   is correct

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