Question

Q4. 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?​

Answer 1

Question :- 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 ?

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 :

Case 1) When we have a symmetrical distribution for continuous data :-

• Mean = Median = Mode.

Case 2) When the frequencies are not properly distributed it is called as an asymmetrical distribution.

Than,

The relationship between the three measures of central tendency :-

• 2Mean = 3Median - Mode.

which is Equal to ,

→ 2Mean = 3Median - Mode

→ Mode = 3Median - 2Mean. (Option C.)

Hence, The relationship between the three measures of central tendency is Mode = 3Median - 2Mean.

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