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Question -

The scores in mathematics test (out of 25) of 15 students is as follows:
19, 25, 23, 20, 9, 20, 15, 10, 5, 16, 25, 20, 24, 12, 20
Find the mode and median of this data. Are they same?



Answer -

Arranging the givenscores in an ascending order, we get

5, 9, 10, 12, 15, 16,19, 20, 20, 20, 20, 23, 24, 25, 25

Mode,

Mode is the value ofthe variable which occurs most frequently.

Clearly, 20 occursmaximum number of times.

Hence, mode of thegiven sores is 20

Median,

The value of themiddle-most observation is called the median of the data.

Here n = 15, which isodd.

Where, n is the numberof the students.

median = value of ½ (n+ 1)th observation.

= ½ (15 + 1)

= ½ (16)

= 16/2

= 8

Then, value of 8th term= 20

Hence, the median is20.

Yes, both the valuesare same.

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