Observations of some data are x/4,x,x/5,x/3,x/2 where x > 0. If the median of the data is 5.
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Step-by-step explanation:
Observations of some data are x/4,x,x/5,x/3,x/2 where x > 0. If the median of the data is 5.
Median is the middle value of the data values after arranging the data values in the ascending or descending order.
If n is odd, then the median is (
2
n+1
)
th
value.
If n is even, then the median is
2
(
2
n
)
th
+(
2
n
+1)
th
value.
Given data values are
5
x
,x,
3
x
,
3
2x
,
4
x
,
5
2x
,
4
3x
Arranging the data values in the ascending order we get
5
x
,
4
x
,
3
x
,
5
2x
,
3
2x
,
4
3x
,x
Given that median of the data is 4
Total number of values is n=7 (odd)
Therefore, the median is (
2
7+1
)
th
value = 4
th
value =
5
2x
⟹4=
5
2x
⟹2x=20⟹x=10
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