The median of the data 28,31,42,37,26,34,18,23 is:
- A30
- B29.5
- C31.5
- D28
Solution & Step-by-step Explanation
First, arrange the data in ascending order:
18,23,26,28,31,34,37,42
The total number of observations (n) is 8 (which is even).
For an even number of observations, the median is the average of the (
2
n
)
th
and (
2
n
+1)
th
terms.
Here:
(
2
8
)
th
term=4
th
term=28
(
2
8
+1)
th
term=5
th
term=31
Therefore, the median is:
Median=
2
28+31
=
2
59
=29.5
18,23,26,28,31,34,37,42
The total number of observations (n) is 8 (which is even).
For an even number of observations, the median is the average of the (
2
n
)
th
and (
2
n
+1)
th
terms.
Here:
(
2
8
)
th
term=4
th
term=28
(
2
8
+1)
th
term=5
th
term=31
Therefore, the median is:
Median=
2
28+31
=
2
59
=29.5