observations of a data are 16,72,0,55,65,55,10,and10,and41,.chaitanya calculated the mode and median without taking the zero into consideration. did chaitanya do the right thing?
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Answer:
Arranging the data in ascending order
0,10,16,41,55,55,65,72
Here n=8
Median = mean of (
2
n
)
th
and (
2
n
+1)
th
observations
=mean of (
2
8
)
th
and (
2
8
+1)
th
observation
=mean of (4)
th
and (5)
th
observations
=
2
41+55
=48
Mode = 55
Now, if zero is not taken into consideration
arrange data in ascending order
0,10,16,41,55,55,65,72
Here n=7
Median =(
2
n+1
)
th
=(
2
7+1
)
th
=4
th
=55
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