For an individual data mode is the value of the variable which occurs most frequently.
Example 1 :
In a factory, seven labors are receiving the daily wages of $500, $600, $600, $800, $800, $800 and $1000, find the modal wage.
Solution :
In the given data $800 occurs thrice. So, the mode is $800.
Example 2 :
Find the mode for the set of values 17, 18, 20, 20, 21, 21, 22, 22.
Solution :
In this example, three values 20, 21, 22 occur two times each. There are three modes for the given data!
Note :
∙ A distribution having only one mode is called unimodal.
∙ A distribution having two modes is called bimodal.
∙ A distribution having Three modes is called trimodal.
∙ A distribution having more than three modes is called multimodal.
Example 3 :
Following are the margin of victory in the foot ball matches of a league.
1, 3, 2, 5, 1, 4, 6, 2, 5, 2, 2, 2, 4, 1, 2, 3, 2, 3, 2, 3, 1, 1, 2, 3, 2, 6, 4, 3, 2, 1, 1, 4, 2, 1, 5, 3, 4, 2, 1, 2.
Find the mode.
Solution :
Since 2 has occurred more number of times (14 times), the mode of the given data is 2.
Example 4 :
The number of children in 20 families are
1, 2, 2, 1, 2, 1, 3, 1, 1, 3, 1, 3, 1, 1, 1, 2, 1, 1, 2, 1
Find the mode.
Solution :
Since 2 has occurred more number of times (15 times), the mode of the given data is 2.
In a ungrouped frequency distribution, the value of the item having maximum frequency is taken as the mode.
Example 5 :
A set of numbers consists of five 4’s, four 5’s, nine 6’s,and six 9’s. What is the mode ?
Solution :
6 has the maximum frequency 9.
So, 6 is the mode.
Example 6 :
The demand of track suit of different sizes as obtained by a survey is given below :
Which size is in greater demanded?
Solution :
Since size 40 has the maximum frequency 37, mode of the above data is 40.
So, size 40 is in greater demand.
Apart from the stuff given above, if you need any other stuff in math, please use our google custom search here.
Kindly mail your feedback to v4formath@gmail.com
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
Nov 27, 22 08:59 PM
Nov 27, 22 08:56 PM
Nov 26, 22 08:22 PM