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Question -

Find the mode and median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14



Answer -

Arranging the givendata in an ascending order, we get

= 12, 12, 13, 13, 14,14, 14, 16, 19

Mode,

Mode is the value ofthe variable which occurs most frequently.

Clearly, 14 occursmaximum number of times.

Hence, mode of thegiven data is 14.

Median,

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

Here n = 9, which isodd.

Where, n is the numberof the students.

median = value of ½ (9+ 1)th observation.

= ½ (9 + 1)

= ½ (10)

= 10/2

= 5

Then, value of 5th term= 14

Hence, the median is14.

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