If the ratio of mean and median of a certain data is 5: 7 , then find the ratio of its mode and mean.

Question

If the ratio of mean and median of a certain data is 5: 7 , then find the ratio of its mode and mean. (A) 2: 5 (B) 11: 5 (C) 6: 5 (D) 2: 3

Tardigrade Admin · Accepted Answer

Given that, ( text Mean / text Median )=(5/7) We know that, Mode =3 Median -2 Mean. text Mode = text Mean ((3 text Median / text Mean )-2) ( text Mode / text Mean )=(3 ⋅ (7/5)-2)=(21-10/5)=(11/5)

Q. If the ratio of mean and median of a certain data is 5 : 7 , then find the ratio of its mode and mean.

$2 : 5$

$11 : 5$

$6 : 5$

$2 : 3$

Given that, $\frac{Mean}{Median} = \frac{5}{7}$
We know that, Mode $= 3$ Median -2 Mean.
$Mode = Mean (\frac{3 Median}{Mean} - 2)$
$\frac{Mode}{Mean} = (3 \cdot \frac{7}{5} - 2) = \frac{21 - 10}{5} = \frac{11}{5}$