Question

5) What is the mode of 19, 19, 15, 20, 25, 15, 20, 15.​

Answer 1

Given :

• Numbers are 19, 19, 15, 20, 25, 15, 20, 15

To Find :

• The mode of the given data.

Calculations :

For calculating mode, firstly we will arrange the numbers in ascending order. After that, we will count the numbers which occurs maximum number of times. For example, numbers are 1, 1, 1, 3, 3 so 1 appears 3 times while 3 appears 2 times. Hence, 1 is the mode of the given data.

$\dag \: \underline {\underline{ \sf{Arranging \: the \: numbers \: in \: ascending \: order : }}}$

$: \implies \rm 15, \: 15, \: 15, \: 19, \: 19 \: , 20, \: 20, \: 25,$

Counting the numbers,

$: \implies \rm \underbrace{15, \: 15, \: 15}_{(Occurs \: 3 \: times)} \\ \\ : \implies \rm \underbrace{19, \: 19}_{(Occurs \: 2 \: times)} \\ \\ : \implies \rm \underbrace{20, \: 20}_{(Occurs \: 2\: times)} \\ \\ : \implies \rm\underbrace{25}_{(Occurs \: 1\: time)}$

Clarification:

Here, we can see that 15 occurs 3 times, 19 occurs 2 times, 20 occurs 2 times and 25 occurs 1 time. Clearly, 15 occurs in maximum number of times.

Therefore, the mode of the given data is 15.