Mode

For a set of given observation, mode is that observation which occurs maximum number of times.

1. Find the mode of the given set of number

2, 2, 3, 5, 4, 3, 2, 3, 3, 5

Solution:

Arranging the number with same values together, we get

2, 2, 2, 3, 3, 3, 3, 4, 5, 5

We observe that 3 occurs maximum number of times, i.e., four.

Therefore, mode of this data is 3.

Note:

A data may not have a mode.


2. The data 3, 4, 1, 5, 4, 2 has no mode because no number occurs more number of times then any other number.

A data may have more than one mode.


3. The data 2, 5, 1, 3, 5, 7, 6, 3, 8 have two modes 3 and 5.

Therefore, each is repeated two times which is maximum.


4. The height of 50 plants in a garden are given below.

Height (cm) 10 25 30 40 45
Number Plants 13 15 12 8 2

Find the mode of the data.

Solution:

The frequency of 25 is maximum.

So, the mode of this data is 15.

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