Question

Find median it mean is 2.5 and mode is 10.
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Answer 1

SOLUTION

GIVEN

The mean is 2.5 and mode is 10

TO DETERMINE

The median

CONCEPT TO BE IMPLEMENTED

Mean

In measure of central tendency mean is the most common measure.

For a given set of observations mean is the average value of a group of numbers.

It is obtained by adding up all the observations divide by the number of observations

Median

Median is the middle most value of a set of observations when the samples are arranged in order of magnitudes ( Either in ascending or in descending)

Mode

For a set of observations mode is defined to be the value ( or values) of the sample ( or samples) which will occur with maximum frequency.

For symmetrical frequency distribution

Mean = Mode = Median

For asymmetrical frequency distribution

But for moderately asymmetrical distribution there is an approximate relation between them and it is given by

Mean - Mode = 3 ( Mean - Median)

EVALUATION

Here it is given that mean is 2.5 and mode is 10

So by the given condition

Mean - Mode = 3 ( Mean - Median)

Thus

⇒ 2.5 - 10 = 3 ( 2.5 - Median)

⇒- 7.5 = 3 ( 2.5 - Median)

⇒ ( 2.5 - Median) = - 2.5

⇒ Median = 5

FINAL ANSWER

Median = 5

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