The length of 40leaves of a plant are measured correct to one mill | Filo

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The length of leaves of a plant are measured correct to one millimetre, and the obtained data is represented in the following table:
(i) Draw a histogram to represent the given data. [Hint: First make the class intervals continuous]
(ii) Is there any other suitable graphical representation for the same data?
(iii) Is it correct to conclude that the maximum number of leaves are long? Why?

Solution:

 Length (in mm) New length(in mm) No. of leaves 118 - 126 117.5 - 126.5 3 127 - 135 126.5 - 135.5 5 136 - 144 135.5 - 144.5 9 145 - 153 144.5 - 153.5 12 154 - 162 153.5 - 162.5 5 163 - 171 162.5 - 171.5 4 172 - 180 171.5 - 180.5 2

In order to make a histogram, we need to convert discontinuous classes to continuous classes.
Adjustment = \dfrac 12 (\mbox {lower limit of class - upper limit of previous class)}

So, needs to be subtracted from upper limit of previous class and lower limit of next class.

(ii) Frequency polygon
(iii) No. It is a range. The maximum number of leaves lies in between . Not necessary that it all occurs as length.
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