The lengths of 62 leaves of a plant are measured in millimetres and the data is represented in the following table :
Length (in mm) Number of leaves
118 - 126 8
127 - 135 10
136 - 144 12
145 - 153 17
154 - 162 7
163 - 171 5
172 - 180 3
Draw a histogram to represent the data above.
Solution:
Given, the length of 62 leaves of a plant measured in millimetres
The table represents the length of leaves and the number of leaves
We have to draw a histogram for the given data.
The given frequency distribution is in the inclusive form.
On converting to exclusive form,
Now, consider the classes 118 - 126 and 127 - 135
The lower limit of 127 - 135 is 127.
The upper limit of 118 - 126 is 126.
Half the difference between lower and upper limit = (127 - 126)/2
= 0.5
Thus, we subtract 0.5 from each lower limit and add 0.5 to each upper limit.
The table for continuous grouped frequency distribution becomes,
| Length (in mm) | Number of leaves |
| 117.5 - 126.5 | 8 |
| 126.5 - 135.5 | 10 |
| 135.5 - 144.5 | 12 |
| 144.5 - 153.5 | 17 |
| 153.5 - 162.5 | 7 |
| 162.5 - 171.5 | 5 |
| 171.5 - 180.5 | 3 |
Now, the frequency distribution is in exclusive form
We can represent the class intervals of age along the horizontal axis.
The corresponding frequencies of the number of teachers are represented along the vertical axis.
Given, the interval starts with 117.5 - 126.5
This implies that there is a break near the origin.
Using the given data, a histogram is given below,
✦ Try This: The lengths of 70 leaves of a plant are measured in millimetres and the data is represented in the following table :
| Length (in mm) | Number of leaves |
| 110 - 120 | 7 |
| 120 - 130 | 5 |
| 130 - 140 | 12 |
| 140 - 150 | 18 |
| 150 - 160 | 9 |
| 160 - 170 | 5 |
| 170 - 180 | 4 |
Draw a histogram to represent the data above.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 14
NCERT Exemplar Class 9 Maths Exercise 14.4 Problem 5
The lengths of 62 leaves of a plant are measured in millimetres and the data is represented in the following table : Length (in mm) Number of leaves 118 - 126 8 127 - 135 10 136 - 144 12 145 - 153 17 154 - 162 7 163 - 171 5 172 - 180 3. Draw a histogram to represent the data above.
Summary:
A histogram for the class interval of length and the corresponding frequencies of the number of leaves of a plant with 62 leaves is mentioned above
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