Number of wickets | Number of bowlers |
20 - 60 | 7 |
60 - 100 | 5 |
100 - 150 | 16 |
150 - 250 | 12 |
250 - 350 | 2 |
350 - 450 | 3 |
A) 133.67
B) 145.23
C) 152.0
D) 152.89
Correct Answer: D
Solution :
(d): Here, the class size varies, and the\[{{x}_{i}}s\] are large. Let us still apply the step deviation method with a = 200 and h = 20. Then, we obtain the data as in Table.Number of wickets taken | Number of blowers \[({{f}_{i}})\] | \[{{x}_{i}}\] | \[{{d}_{i}}=\]\[{{x}_{i}}-200\] | \[{{u}_{i}}=\frac{{{d}_{i}}}{20}\] | \[{{u}_{i}}{{f}_{i}}\] |
20 ? 60 | 7 | 40 | ? 160 | ? 8 | ? 56 |
60 ? 100 | 5 | 8 | ? 120 | ? 6 | ? 30 |
100 ? 150 | 16 | 125 | ? 75 | ? 3.75 | ? 60 |
150 ? 250 | 12 | 200 | 0 | 0 | 0 |
250 ? 350 | 2 | 300 | 100 | 5 | 10 |
350 ? 450 | 3 | 400 | 200 | 10 | 30 |
Total | 45 | ? 106 |
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