: Out of these, which is the formula for determing mode? इनमेँ से बहुलक पता करने का सूत्र कौन सा है? *
ੳ) 2 ਮੱਧਿਕਾ – 3 ਮੱਧਮਾਨ a)2 median – 3 mean a) 2 माध्यिका - 3 मध्यमान
ਅ) 2 ਮੱਧਿਕਾ + 3 ਮੱਧਮਾਨ b) 2 median +3 mean b) 2 माध्यिका +3 मध्यमान
ੲ) 3 ਮੱਧਿਕਾ –2 ਮੱਧਮਾਨ c) 3 median – 2 mean c) 3 माध्यिका - 2 मध्यमान
ਸ) 3 ਮੱਧਿਕਾ +2 ਮੱਧਮਾਨ d) 3 median + 2 mean d) 3 माध्यिका + 2 मध्यमान
Answers
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Given :- Out of these, which is the formula for determing mode? इनमेँ से बहुलक पता करने का सूत्र कौन सा है? *
ੳ) 2 ਮੱਧਿਕਾ – 3 ਮੱਧਮਾਨ a)2 median – 3 mean a) 2 माध्यिका - 3 मध्यमान
ਅ) 2 ਮੱਧਿਕਾ + 3 ਮੱਧਮਾਨ b) 2 median +3 mean b) 2 माध्यिका +3 मध्यमान
ੲ) 3 ਮੱਧਿਕਾ –2 ਮੱਧਮਾਨ c) 3 median – 2 mean c) 3 माध्यिका - 2 मध्यमान
ਸ) 3 ਮੱਧਿਕਾ +2 ਮੱਧਮਾਨ d) 3 median + 2 mean d) 3 माध्यिका + 2 मध्यमान
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.) (Ans.)
Hence The relationship between the three measures of central tendenc is (Mode = 3Median - 2Mean.).
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