Question

if the values of mean and mode are respectively 30 and 15, then median =

Answer 1

Use the empirical formula :

3 median = Mode + 2 Mean

3 Median = 15 + 2 ( 30 )

3 Median = 15 + 60

3 Median = 75

Median = 75 / 3

Median = 25

Hope it helps you.

Answer 2

The mean is $15$.

Given-Mean is $30$

Mode is $15$

Find the median

Solution- The mean is the arithmetic average of a set of given numbers. The median is the middle score in a set of given numbers. The mode is the most frequently occurring score in a set of given numbers.

The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list.

Mode: The most frequent number—that is, the number that occurs the highest number of times. Example: The mode of ${4 , 2, 4, 3, 2, 2}$ is $2$ because it occurs three times, which is more than any other number.

Formula is

Mode $=3\times median -2\times 30$

$15+60=3\times median$

Median$=\frac{75}{3}$

Median $=15$

Hence, the median is $15$.

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