The table shows the distribution of monthly income (in thousands of naira) of workers in...
FURTHER MATHEMATICS
WAEC 2021
The table shows the distribution of monthly income (in thousands of naira) of workers in a factory
| Monthly Income (N'1000) | 135-139 | 140-149 | 150-154 | 155-164 | 165-169 |
| Number of workers | 20 | 42 | 28 | 38 | 22 |
(a) Draw a histogram for the distribution.
(b) Use your graph to estimate the mode of the distribution.
Explanation
| Monthly Income | Number of Workers | Class Boundaries |
135-139 | 20 | 134.5 - 139.5 |
140-149 | 42 | 139.5 - 149.5 |
150-154 | 28 | 149.5 - 154.5 |
155-164 | 38 | 154.5 - 164.5 |
165-169 | 22 | 164.5 - 169.5 |
(a)
(b) Modal class: This is the class boundary with the highest frequency.
In this case, it is 139.5 and 149.5.
From the histogram, the modal income is 3 +139.5
= 142.5 or N142500 (in thousands of naira)
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