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

To do:

We have to find the mode and median of the data: 13, 16, 12, 14, 19, 12, 14, 13, 14.

Solution:

Given data is:

$13, 16, 12, 14, 19, 12, 14, 13, 14$

On arranging the data in ascending order, we get,

$12, 12, 13, 13, 14, 14, 14, 16, 19.$

We know that mode of a given data is said to be the observation that occurs the highest number of times.

14 occurs three times in the given data.

$\therefore$ Mode = 14 

Also, we know that the median is the middle observation of a data arranged in ascending order.

Out of the 9 observations given, the mid data is the $5^{th}$ value.

$\therefore$ Median $=14$

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Updated on: 10-Oct-2022

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