Some problems on mode — lesson. Mathematics State Board, Class 7.

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Problem

$1$

Find the mode of the following numbers.

$70$ ,

$50$ ,

$90$ ,

$50$ ,

$40$ ,

$20$ ,

$10$ ,

$50$ ,

$60$ ,

$80$ ,

$30$ ,

$50$ ,

$30$

Let us now find the solution.

Step

$1$ : Arrange the numbers in the ascending order.

$10$ ,

$20$ ,

$30$ ,

$40$ ,

$50$ ,

$60$ ,

$70$ ,

$80$ ,

$90$

Step

$2$ : Find the number that occurs for the most number of times.

$50$ occurs the most number of times.

Therefore, $50$ is the mode of that set of data.

Problem

$2$

Find the mode of the following numbers.

$15$ ,

$12$ ,

$8$ ,

$3$ ,

$5$ ,

$7$ ,

$15$ ,

$3$ ,

$9$ ,

$8$ ,

$2$ ,

$8$ ,

$15$

Let us now find the solution.

Step

$1$ : Arrange the numbers in the ascending order.

$2$ ,

$3$ ,

$5$ ,

$7$ ,

$8$ ,

$9$ ,

$12$ ,

$15$ ,

$15$

Step

$2$ : Find the number that occurs for the most number of times.

Both

$8$ and

$15$ occur thrice.

Therefore, $8$ and $15$ are the modes of that data.

In other words, the given set of data is bimodal.

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2. Some problems on mode

Theory: