The median of 31,25,17,23,45 and 59 is:
- A23
- B25
- C31
- D28
Solution & Step-by-step Explanation
To find the median, first arrange the given data in ascending order:
17,23,25,31,45,59
The number of terms (n) is 6, which is even.
For an even number of observations, the median is the average of the two middle terms, which are the (
2
n
)
th
and (
2
n
+1)
th
terms.
Here, the middle terms are the 3
rd
term (25) and the 4
th
term (31).
Median=
2
25+31
=
2
56
=28
17,23,25,31,45,59
The number of terms (n) is 6, which is even.
For an even number of observations, the median is the average of the two middle terms, which are the (
2
n
)
th
and (
2
n
+1)
th
terms.
Here, the middle terms are the 3
rd
term (25) and the 4
th
term (31).
Median=
2
25+31
=
2
56
=28