The marks scored by 12 students in a mathematics test are:
22, 32, 40, 36, 38, 40, 32, 36, 40, 18, 24, 28
Find the median marks.
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Answer:
Rearranging the data into ascending order, we get
17,18,23,25,29,31,35,35,35,37,38,42
Here,
(a) Range = greatest observation − lowest observation
=42−17=25
(b) Mean = Sum of observations ÷ number of observations
=
12
17+18+23+25+29+31+35+35+35+37+38+42
=
12
365
=30.41
(c) Since the total number of observations is even
Median =
2
31+35
=
2
66
=33
(d) The mode is 35 because it occurs most frequently i.e., 3 times.
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