1.

The mode of the following frequency distribution is 38. Find the value of x.Class Interval0-1010-2020-3030-4040-5050-6060-70Frequency791216x611

Answer»

∵ 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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