if median- mean 2 and mean+ median 38 then mode=
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Given :-
- Median - Mean = 2
- Mean + Median = 38
To Find :-
- Mode .
Solution :-
→ Median - Mean = 2
→ Mean + Median = 38
adding both we get,
→ (Median - Mean) + (Mean + Median) = 2 + 38
→ 2Median = 40
→ Median = 20 .
now, we know that,
- Mode = 3Median - 2Mean .
so,
→ Mode = 3Median - 2Mean .
→ Mode = Median + 2Median - 2Mean .
→ Mode = Median + 2(Median - Mean)
→ Mode = 20 + 2 * 2
→ Mode = 20 + 4
→ Mode = 24 (Ans.)
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