Question

For a frequency distribution of unique mode, mean is 34 and median is 32. Then its mode
7
.
is...
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Answer 1

mean=34 and median=32 mode is unique so 32 is a mode

Answer 2

Given :-

• Mean = 34.
• Median = 32.

To Find :-

• Mode = ?

Solution :-

we know that,

• Empirical Relationship between Mean, Median and Mode :- Mean - Mode = 3(Mean - Median) .

so,

→ Mean - Mode = 3(Mean - Median)

→ Mean - Mode = 3Mean - 3 Median

→ Mean - 3Mean + 3Median = Mode

→ Mode = 3Median - 2Mean

putting values now,

→ Mode = 3 * 32 - 2 * 34

→ Mode = 96 - 68

→ Mode = 28 (Ans.)

Hence, Mode is 28 .

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