Question

The following represents age distribution of students in an elementary class. Find the mode of the values: 7, 9, 10, 13, 11,7,9,
19, 12, 11, 9, 7, 9, 10, 11.​

Answer 1

To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.

given numbers,

7, 9, 10, 13, 11 ,7 ,9, 19, 12, 11, 9, 7, 9, 10, 11.​

so here,

9 repeats 4 times than any other number

hence, mode is 9

Answer 2

Given,

The age distribution of students in an elementary class: 7, 9, 10, 13, 11,7,9,

19, 12, 11, 9, 7, 9, 10, 11.​

To Find,

Mode of the values =?

Solution,

We can solve the question as follows.

The mode of a given data set is defined as the term/number which appears the most number of times or has the highest frequency.

In the given data set,

Frequency of 7 = 3

Frequency of 9 = 4

Frequency of 10 = 2

Frequency of 11 = 3

Frequency of 12 = 1

Frequency of 13 = 1

Frequency of 19 = 1

Clearly, 9 appears the most number of times i.e. 4 times.

Hence, the mode of the values is equal to 9.