Question

Find the mean, median and mode of the following:
(a) 3, 7, 8, 5, 6, 9, 6, 4, 6
(b) 25, 30, 26, 28, 33, 25, 26, 27.
(C) 3,4, 1, 5, 6, 4, 2, 4
(d) 20, 30, 40, 40, 10, 16, 40, 30.​

Answer 1

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Step-by-step explanation:

a.Mean=Sum of Observations/No.of Observations

=(3+7+8+5+6+9+6+4+6)/9

=54/9=6

Mode=Most Repeated Number=6

Ascending Order:3,4,5,6,6,6,7,8,9.

Median=Middle Most number when arranged in

ascending order=6

Ascending Order:3,4,5,6,6,6,7,8,9.

b.Mean=Sum of Observations/No.of Observations

=(25+30+26+28+33+25+26+27)/8

=220/8=27.5

Mode=Most Repeated Number=25,26

Ascending Order:25,25,26,26,27,28,30,33

Since there are even no.of Observations Average of

two middle values is Median.

Median = (26+27)/2=26.5

c.Mean=Sum of Observations/No.of Observations

=(3+4+1+5+6+4+2+4)/8

=29/8=3.625

Mode=Most Repeated Number=4

Ascending Order:1,2,3,4,4,4,5,6

Since there are even no.of Observations Average of

two middle values is Median.

Median = (4+4)/2=4

d.Mean=Sum of Observations/No.of Observations

=(20+30+40+40+10+16+40+30)/8

=226/8=28.25

Mode=Most Repeated Number=40

Ascending Order:10,16,20,30,30,40,40,40.

Since there are even no.of Observations Average of

two middle values is Median.

Median = (30+30)/2=30