Note on Mode

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Mode is a number which occur or appears most often or frequently in a set of numbers. It is that value which has the highest frequency. It is denoted by M0.

Calculation of Mode in:

Individual series
In an individual series, mode can be found in by inspection. If the value occurring maximum number of times, then that is a modal value.
For example, 1,2,14,3,3,5,2,3

Variable No. of occurence
1 2
2 2
3 3
4 1
5 1

In the above table, a variable value 3 repeats maximum number of times i.e. 3
\(\therefore\) Mode (M0) = 3

Discrete Series
In case of discrete series also, mode can be obtained by inspection only. Mode occurs with maximum frequency . For example,

No. of student 4 5 6 7 8
Marks 10 20 30 15 25

Here, maximum frequency os 30. So, corresponding modal size is 6.

  • Mode is a number which occur or appears most often or frequently in a set of numbers.
  • Mode is denoted by (Mo) in mathematics.
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Very Short Questions

First, arrange the numbers from least to greatest. Remember that with negative numbers, larger numbers like -7 (if you ignore the minus sign) are less than smaller numbers.

-7 -6 -6 -5 -5 -5 -4 -4

Now count how many times each number appears.

-7 appears 1 time.
-6 appears 2 times.
-5 appears 3 times.
-4 appears 2 times.

The number that appears most often is -5.
Hence, The mode is -5.

0%
  • If the mode is 11, which number could g be? 

    11, 6, 5, g, 6, 11

    13
    11
    8
    12
  • What is the mode?
    3, 3, 3, 1, 1

    none above
    1
    3
  • What is the mode?

    10     0     6     0     6     6     0     10
    6     1                                    

    10
    6
    1
  • The manager of a video shop recorded the number of blank tapes sold per day in 2 weeks (below). Which of the following statements is true?

    132,  121,  119,  116,  130,  121,  131,  117,  119,  135,  121,  129,  119,  134

    The mode is 131.
    There is no mode.
    The mode is 119.
    The modes are 119 and 121.
  • Ten earthquakes were measured using the Richter scale and their magnitudes are listed below. Which of the following statements is true?
    7.0,  6.2,  7.7,  8.0,  6.4,  7.2,  5.4,  6.6,  7.5,  5.9

    The mode is 5.4.
    The mode is 6.4.
    There is no mode
    The data set is bimodal.
  • Eleven daily temperatures for Juneau, Alaska are listed below, in degrees Fahrenheit. Which of the following statements is true?
    -21,  0,  +2,  -15,  0,  +5,  -18,  +7,  0,  -32,  +21

    The data set is bimodal.
    The mode is 0.
    There is no mode.
    The mode is -21.
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