draw less than olive and find the median from the graph 118_126 127_135 136_144 145_153 154_162 163_171 172_180
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The lengths of 40 leaves of a plant are measured correct to the nearest millimetre, and the data obtained is represented in the following table:
Length (in mm)
Number of leaves
118−126
127−135
136−144
145−153
154−162
163−171
172−180
3
5
9
12
5
4
2
Find the median length of the leaves.
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Solution
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CI Frequency c.f
117.5−126.5 3 3
126.5−135.5 5 8
135.5−144.5 9 17
144.5−153.5 12 29
153.5−162.5 5 34
162.5−171.5 4 38
171.5−180.5 2 40
N=40
2
N
=
2
40
=20
∴ Median class =144.5−153.5
⇒ l=144.5,c.f=17,f=12 and h=9
⇒ Median=l+
f
2
N
−c.f
×h
=144.5+
12
20−17
×9
=144.5+
12
3
×9
=144.5+2.25
=146.75
The olive, botanical name Olea europaea, meaning "European olive", is a species of small tree in the family Oleaceae, found traditionally in the Mediterranean Basin. The species is cultivated in all the countries of the Mediterranean, as well as in Australia, New Zealand, North and South America and South Africa.