Question

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

Answer 1

The givendata is

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

Arrangingthe given data in an ascending order,

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

Mode of agiven data is that value of observation which occurs for the mostnumber of times and the median of the given data is the middleobservation when the data is arranged in an ascending or descendingorder.

As thereare 9 terms in the given data, therefore, the median of this datawill be the 5th observation.

Hence,median = 14

Also, itcan be observed that 14 occurs 3 times (i.e., maximum number oftimes).

Therefore,mode of this data = 14