Question

if median- mean 2 and mean+ median 38 then mode= ​

Answer 1

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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Answer 2

Answer: 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.)

Step-by-step explanation: