Mode is the figure or number which has the highest frequency. It is the number which occur most in the data.

Example1: find the mode of 4, 6, 10, 4 , 3, 11, 4

Solution:

The number which occur most in the data is 4

Mode = 4

Example 2: The score obtained by 10 students in a test were 80, 30, 50, 20, 70, 50, 30, 60, and 50. Calculate the mode.

Solution:

Arrange the number in ascending order and prepare the frequency table

MARKS | FREQUENCY |

20 | 1 |

30 | 2 |

50 | 3 |

60 | 1 |

70 | 2 |

30 | 1 |

The highest frequency is 3 therefore, the mode is 50

ADVANTAGES OF MODE

- Mode is very easy to understand
- It is easy to compute
- Mode is not influenced by extreme values
- It can be used for data that are not numerical
- It is a more approximate average in circumstances where it is useful to know the most common value.

DISADVANTAGES OF MODE

- It is not suitable for further statistical analysis
- It is not a very good measure of a accuracy
- It is difficult to calculate especially when more than one mode or large members are involved
- It has limited practical use and it is not often clearly defined
- It is not a truly representative figure because not all the values in the data are used.

ASSIGNMENT

- The mean of ten positive members is added, the mean becomes 17. Find the eleventh number
- Below are the scores of a group of student, in an Economics test

Scores 1 2 3 4 5

No of students 4 5 6 X 2

If the average score is 3, find the values of X

- Obtain the median of the following numbers 3, 5, 7, 4, 1, 3, 10, 8, and 2
- For a class of 20 students, the marks scored on an aptitude test were as follows:

4 5 9 4 4

7 8 6 7 4

6 4 7 8 6

9 4 5 5 4

Calculate the modal scores

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