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प्रश्न
Compute the mode from the following series:
| Size | 45 – 55 | 55 – 65 | 65 – 75 | 75 – 85 | 85 – 95 | 95 – 105 | 105 - 115 |
| Frequency | 7 | 12 | 17 | 30 | 32 | 6 | 10 |
उत्तर
As the class 85 – 95 has the maximum frequency, it is the modal class.
Now, `x_k = 85, h = 10, f_k = 32, f_(k-1) = 30, f_(k+1) = 6`
∴ Mode, `M_0 = x_k + {ℎ × ((f_k− f_(k−1)))/((2f_k− f_(k−1)−f_(k+1)))}`
`= 85 + {10 × ((32−30))/((2×32−30−6))}`
`= 85 + {10 × 2/28}`
= (85 + 0.71)
= 85.71
Hence, mode = 85.71
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