(a)
Minimum value: 2
Maximum value: 52
We need 11 classes so class width will be
Class width = (52-2) /11 = 4.54
That is class width will be 5.
Following table shows the frequency distribution:
Number of hours | Frequency |
2-7 | 7 |
7-12 | 8 |
12-17 | 6 |
17-22 | 11 |
22-27 | 2 |
27-32 | 2 |
32-37 | 1 |
37-42 | 2 |
42-47 | 0 |
47-52 | 0 |
52-57 | 1 |
(c)
Following table shows the relative frequency distribution:
Number of hours | Frequency, f | Relative frequency, f/40 |
2-7 | 7 | 0.175 |
7-12 | 8 | 0.2 |
12-17 | 6 | 0.15 |
17-22 | 11 | 0.275 |
22-27 | 2 | 0.05 |
27-32 | 2 | 0.05 |
32-37 | 1 | 0.025 |
37-42 | 2 | 0.05 |
42-47 | 0 | 0 |
47-52 | 0 | 0 |
52-57 | 1 | 0.025 |
Total | 40 | 1 |
(d)
Following is the relative frequency histogram:
e)
Histogram is skewed to right.
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