Question

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?

Answer 1

Answer:

its not correct to conclude that the maximum number of leaves are 153 mm long

Step-by-step explanation:

Class   Frequency    Cf

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

Mode lies in 144.5-153.5  (12 Numbers)

Estimated Mode =  144.5  + 9 * (12 - 9)/((12-9) + (12-5)

= 144.5 + 9 * 3/10

= 144.5 + 2.7

= 147.2

=> its not correct to conclude that the maximum number of leaves are 153 mm long