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1 mark

The median of the data 28,31,42,37,26,34,18,23 is:

  1. A
    30
  2. B
    29.5
  3. C
    31.5
  4. D
    28

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

Practice this question

Try it yourself before checking the explanation above.

The median of the data 28,31,42,37,26,34,18,23 is:
A
30
B
29.5
C
31.5
D
28

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