In: Statistics and Probability
Find the median of this received calls data distribution?
No. of calls: 0, 1, 2, 3, 4, 5, 6, 7, Total
Frequency: 14, 21, 25, 43, 51 40 39 12 245
Solution:
Given frequency distribution of calls received:
No. of calls, xi: 0, 1, 2, 3, 4, 5, 6, 7, Total
Frequency, fi: 14, 21, 25, 43, 51, 40, 39, 12, 245
Calculate cumulative frequencies:
c . f : 14, 35, 60, 103, 154, 194, 233, 245.
N = 245; So, N/2 = 245/2 = 122.5
This N/2 corresponds to x = 4 (c.f = 154), so median is 4.
Thus, the median of this received calls frequency distribution is 4.
Median of the frequency distribution of received calls is 4.