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04/07/2021 12:26 pm
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The lengths of 40 leaves in a plant are measured correctly to the nearest millimeter, and the data obtained is represented as in the following table:
Length (in mm) - Number of leaves
118-126 → 3
127-135 → 4
136-144 → 9
145-153 → 12
154-162 → 5
163-171 → 4
172-180 → 2
Find the median length of leaves.
1 Answer
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04/07/2021 12:29 pm
Since the data are not continuous reduce 0.5 in the lower limit and add 0.5 in the upper limit.
So, the data obtained are:
n = 40 and n/2 = 20
Median class = 144.5 - 153.5
then, l = 144.5,
cf = 17, f = 12 & h = 9
Median = \( l+ (\frac{\frac{n}{2} - c_f}{f}) \times h\)
Median = 144.5 + ((20 - 17)/12) × 9
= 144.5 + (9/4)
= 146.75 mm
Therefore, the median length of the leaves = 146.75 mm.