Number of calls | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
Frequency | 14 | 21 | 25 | 43 | 51 | 40 | 39 | 12 |
Compute the mean deviation about the median.
Answer:
Median is the even term, (3+5)/2 = 4
Median = 8
xi =Number of calls
fi = Frequency
xi | fi | Cumulative Frequency | |di| = |xi – M|
= |xi – 61| |
fi |di| |
0 | 14 | 14 | 4 | 56 |
1 | 21 | 35 | 3 | 63 |
2 | 25 | 60 | 2 | 50 |
3 | 43 | 103 | 1 | 43 |
4 | 51 | 154 | 0 | 0 |
5 | 40 | 194 | 1 | 40 |
6 | 39 | 233 | 2 | 78 |
7 | 12 | 245 | 3 | 36 |
Total = 366 | ||||
Total = 245 |
N = 245
= 1/245 × 336
= 1.49
∴ The mean deviation is 1.49.