Mode

The most common value in a series is called mode.

It has the highest frequency among all observations.

It is possible that more than one value may have the same maximum frequency. In such situations, the data is said to be multimodal.


The class with maximum frequency in a table of observations is called as modal class of the observation.

Mode of the observations from the modal class can be calculated as follows:

Mode = l + [(f1 - f0)/ 2f1 – f0 – f2] × h

where,

l = lower limit of the modal class,

h = size of the class interval (assuming all class sizes to be equal),

f1 = frequency of the modal class,

f0 = frequency of the class preceding the modal class,

f2 = frequency of the class succeeding the modal class.



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  • Q1

    The heights of 10 girls were measured in cm and the results are as follows:
    135, 150, 139, 128, 151, 146, 132, 149, 143, 141. The mean height of the girls is

    Marks:1
    Answer:

    141.4.

    Explanation:
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  • Q2

    Mode of the data 23, 24, 23, 21, 25, 25, 23, 21, 23 is …..

    Marks:1
    Answer:

    23

    Explanation:
    Arranging the given data in ascending order. We have

    21, 21, 23, 23, 23, 23, 24, 25, 25

    Here, 23 occure four times.

    Thus mode of the given data is 23.
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  • Q3

    The weights (in kg) of 11 students of a class are:
    38, 45, 41, 32, 37, 35, 38, 40, 36, 46 and 39
    What is the median of the given data?

    Marks:1
    Answer:

    38

    Explanation:

    Arranging the given data in ascending order, we have
    32, 35, 36, 37, 38, 38, 39, 40, 41, 45, 46
    Median is the middle observation of the given data.
    Here, it is 38.

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  • Q4

    The median of the given data 9, 12, 15, 16, 13, 13, 19, 18, 14, 20 and 12 is

    Marks:1
    Answer:

    14

    Explanation:
    Arranging the given data in ascending order.

    9, 12, 12, 13, 13, 14, 15, 16, 18, 19, 20

    Median is the middle observation of given data.

    Here, middle observation is 14.
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  • Q5

    The median of the numbers, 2,2,2,3,3,4,5,5,5,6,6,8,9,7,7 is

    Marks:1
    Answer:

    5

    Explanation:
    Arrange the data is ascending order is, 2,2,2,3,3,4,5,5,5,6,6,7,7,8,9

    The median is the middle term of data therefore, the median is 5.

    View Answer