Question

if the difference of mode and medain of a data 24 find the difference of medaian and mean
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Answer 1

Answer:

Mode - Median = 24

Mode = 3 Median - 2 Mean

Mode - Median = 2 Median - 2 Mean ⇒ 2(Median - Mean) = Mode - Median = 24 ⇒ Median - Mean = 12

Answer 2

hi mate !

here is your answer

If the difference of mode and median of a data is 24, then the difference of median and mean is 12.

According to the given data;

Difference between mode and median is 24, so;

Mode - Median = 24 ⇒ (A)

We've to calculate difference of median and mode;

Median - Mode = ???

according to the basic rules of the statistics;

Mode of a given data is equal to difference of thrice of median and twice of mode, so;

Mode = 3*Median - 2*Mode ⇒ (B)

Now we know that 3*Median = Median + 2*Median, substituting the relation in equation (B) which implies;

Mode = Median + 2*Median - 2*Mode

Mode - Median = 2*Median - 2*Mode

Mode - Median = 2[ Median - Mode]

Median - Mode = (Mode - Median) / 2

Substituting the values from equation (A);

Median - Mode = 24/2 = 12

Median - Mode = 12

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