### Mode

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

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.
0%

11
8
12
13

none above
1
3

6
1
10
• ### 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.
The modes are 119 and 121.
The mode is 119.
There is no mode.
• ### 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 6.4.
The mode is 5.4.
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

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