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The length of 40 leaves of a plant are measured correct to one millimetre, and the obtained data is represented in the following table: | Length (in mm) | Number of leaves | |----------------|------------------| | 118 - 126 | 3 | | 127 - 135 | 5 | | 136 - 144 | 9 | | 145 - 153 | 12 | | 154 - 162 | 5 | | 163 - 171 | 4 | | 172 - 180 | 2 | (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?
Is it correct to say that in a histogram, the area of each rectangle is proportional to the class size of the corresponding class interval? If not, correct the statement.
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