xi | 74 | 89 | 42 | 54 | 91 | 94 | 35 |
fi | 20 | 12 | 2 | 4 | 5 | 3 | 4 |
Answer:
N = 50
Median = (50)/2 = 25
Median Corresponding to 25 is 74
xi | fi | Cumulative Frequency | |di| = |xi – M| | fi |di| |
74 | 20 | 4 | 39 | 156 |
89 | 12 | 6 | 32 | 64 |
42 | 2 | 10 | 20 | 80 |
54 | 4 | 30 | 0 | 0 |
91 | 5 | 42 | 15 | 180 |
94 | 3 | 47 | 17 | 85 |
35 | 4 | 50 | 20 | 60 |
Total = 50 | Total = 189 | Total = 625 |
N = 50
= 1/50 × 625
= 12.5
∴ The mean deviation is 12.5