mean, median and 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}