Question

Find the mode of the following data.
1) $74,81,62,58,77,74$.
2) $43,36,27,25,36,66,20,25$.
3) $55,51,62,71,50,32$.
4) $24,20,27,32,20,28,20$.

Answer 1

The mode of a data set is the number that occurs most. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs most is the mode.

$1)$ $74,81,62,58,77,74$

Arrange the numbers in ascending order

$58,62,74,74,77,81$

In these the number $74$ occurs two times then $74$ is mode.

$2)$ $43,36,27,25,36,66,20,25$

Arrange the numbers in ascending order

$20,25,25,27,36,36,43,66$

In these, the numbers $25$ and $36$ occurs two times then $25,36$ are modes.

$3)$ $55,51,62,71,50,32$

Arrange the numbers in ascending order

$32,50,51,55,62,71$

In these, all the numbers occurs once then it has no mode.

$4)$ $24,20,27,32,20,28,20$

Arrange the numbers in ascending order

$20,20,20,24,27,28,32$

In these, the number $20$ occurs three times then $20$ is mode.