The length of 40leaves 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 153mm long? Why?

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Length (in mm) New length(in mm)No. of leaves  118 - 126117.5 - 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)}=21​(127−126)=0.5So, 0.5 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 144.5mm−154.5mm. Not necessary that it all occurs as 153mm length.

Question Text	The length of $40$ 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 $153 mm$ long? Why?
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Practice questions from similar books

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