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11 Plus Mode

11 Plus Mode

The mode is one of the measures of central tendency. A mode is the most frequently occurring element in a set of elements. A single set of elements has one or more modes. We use bar graphs, pie charts, and graphs to represent the data. We can easily calculate the mode from these representations.

Example:

Find the mode of 2, 3, 1, 2, 2, 4, 5, 8, 9, 3, 9, 2, 2 and 1.

Answer:

Given data is 

2, 3, 1, 2, 2, 4, 5, 8, 9, 3, 9, 2, 2 , 1

The mode of given data is 2.because it occurs five times.

The following table represents the data

xi

X1

X2

X3

X4

X5

X6

fi

F1

F2

F3

F4

F5

F6

 

The xi corresponding to the highest value of fi is the mode of data.

Example:

Find the mode of the following data.

Frequency(f)

4

2

9

11

6

x

10

14

17

19

20

 

Ans:

The highest frequency is 20

The value corresponding to the highest frequency is 6.

The mode of given data is 6.

Properties of mode:

  1. A single set of data can have more than one mode.
  2. If the data set has one mode, then the set is called unimodal
  3. If the data set has two modes, then the set is called bimodal
  4. If the data set has three modes, then the set is called trimodal
  5. If the data set has four modes, then the set is called multimodal
  6.  Some Set of data may not have the mode.
  7. A mode is easy to compute compared to mean and median.
  8. In unimodal distribution, the median lies between mean and mode.
  9. Mode not affected by extreme values.
  10. The mode is sensitive to the frequency of elements.

 

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Let us see examples

Example:1

https://lh5.googleusercontent.com/LtDCcTVqAXuhS6poula-BiYILNO1j4gsUVRr1rHe1sJKoSGuJwLGwSx9CIasRiNGDFUamwXessljfhTzDnhqEYzQ9ZDBu7YUY0KcH-KPKWZUFNWEJvzvQSDB0qlU30CvkbijnI8

Example2:

https://lh6.googleusercontent.com/jrTld6cM3xUESFt0_EEfPUt65SRPctvDvNnRvq2Xd_YrKuYQs02xogIIBBknKO5HbDygZqAFKbEunuuQa9OMcoQgbPOJwZJ_a7C8-E0w2ICEqLFLShE9Q_ReJ-jjorTJDZL81MI

Example:3

https://lh4.googleusercontent.com/k-uJFfTp4rpkHIFwoXmiJiUaQLW8EOpEn205A5rK0fV_jw3oEjgi-Acj3VmI8Ms4KGltCpqHisBbh8OuTa-_aebas2g-D8G1YOQDQ8TY7DcDr6bUGShsnCfHt4ZCHnTlz7OYFfc

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