The mode of the following frequency distribution is 38. Find the value of x.
The mode of the following frequency distribution is 38. Find the value of x.
| Class Interval | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
| Frequency | 7 | 9 | 12 | 16 | x | 6 | 11 |
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∵ Mode = 38.
∴ The modal class is 30-40.
Mode = \(l+\frac{f_1-f_0}{2f_1-f_0-f_2}\times h\)
= 30 + \(\frac{16-12}{32-12-x}\) x 10 = 38
\(\frac{4}{20-x}\) x 10 = 8
8 (20 - x) = 40
20 - x = 5
X = 15
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