1.

The number of telephone calls received at an exchange per interval for 250 successive one-minute intervals are given in the following frequency table.No. of calls (x):0123456No. of intervals (f):15242946544339Compute the mean number of calls per interval.

Answer»

Let the assumed mean (A) = 3

 Number of calls (xi) Number of intervals (fi \(\phi\))ui = xi - A = xi - 3fiui
015-3-45
124-2-48
229-2-48
34600
454154
543286
6393117
 N = 250\(\sum\)fiui = 135 

Mean number of calls = A + \(\frac{\sum f_iu_i}{N}\)

= 3 + \(\frac{135}{250}=\frac{885}{250}\)

= 3.54



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