This document provides examples of calculating the mean, median, and mode from sets of numerical data. It defines the mean as the sum of all values divided by the total number of values. The median is defined as the middle value when values are sorted in ascending order, or the average of the two middle values for an even number of values. The mode is defined as the value that occurs most frequently in a data set. Worked examples are provided to demonstrate calculating the mean, median, and mode for different data sets.
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Mean,median,mode
1. Example 2: For the given distribution, find the Mean
Xi Fi
1 3
2 5
3 8
4 4
∑Fi= 20
Solution:Mean = (1×3+2×5+3×8+4×4)/20 = 2.65
Example 3: Findthe medianof the set= { 2,4,4,3,8,67,23 }
The listcontains7 terms,thus4th
termof the listwill be the median,sothe medianis4.
If the listcontains‘n’terms(nis an oddnumber),the medianwill be the (n+1)/2term.
In case the listconsistsof evennumberof terms,the medianwill be the average of nth
and(n+1)th
term.
xample 4: Findthe median of the set= { 11,22,33,55,66,99 }
Solution:As we can see the listisalreadyinascendingorderandthe listcontains6 terms,hence the
average of the third andfourthterm will be the median.
Median= (33+55)/2 = 44.
Example 5: Findthe medianof a seriesof all the eventermsfrom4 to 296.
Example 6: Findthe mode of the Set= {1,3,3,6,9}
