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Question
Calculate the mode from the following data:
| Monthly salary (in Rs) | No of employees |
| 0 – 5000 | 90 |
| 5000 – 10000 | 150 |
| 10000 – 15000 | 100 |
| 15000 – 20000 | 80 |
| 20000 – 25000 | 70 |
| 25000 – 30000 | 10 |
Solution
As the class 5000-10000 has the maximum frequency, it is the modal class.
Now, `x_k = 5000, h = 5000, f_k = 150, f_k-1 = 90, f_k+1 = 100`
∴ Mode,` M_0 = x_k + {ℎ × ((f_k− f_k−1))/((2f_k− f_k−1−f_k+1))}`
`= 5000 + {5000 × ((150−90))/((2×150−90−100))}`
`= 5000 + {5000 × 60/110}`
= (5000 + 2727.27)
= 7727.27
Hence, mode = Rs 7727.27
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