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Question
Compute the mode from the following data:
| Age (in years) | 0 – 5 | 5 – 10 | 10 – 15 | 15 – 20 | 20 – 25 | 25 – 30 | 30 - 35 |
| No of patients | 6 | 11 | 18 | 24 | 17 | 13 | 5 |
Solution
As the class 15 – 20 has the maximum frequency, it is the modal class.
Now, `x_k= 15, h = 5, f_k = 24, f_k-1 = 18, f_k+1 = 17`
∴ Mode, `M_0 = x_k + {ℎ ×((f_k− f_k−1))/((2f_k− f_k−1−f_k+1))}`
`= 15 + {5 × ((24−18))/((2×24−18−17))}`
`= 15 + {5 × 6/13}`
= (15 + 2.3)
= 17.3
Hence, mode = 17.3 years
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