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

No. of calls xiNo. of intervals fiu= x– A = x– 3fui
015-3-45
124-2-48
229-1-29
34600
454154
543286
6393117
N = 250Σfix= 135

Mean number of calls = \(A + \frac{Σ f_ix_i }{N }\)

= 3 + \(\frac{135}{250 }\)

= \(\frac{(750 + 135)}{250}\) 

= \(\frac{885}{250}\) 

= 3.54



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