In: Statistics and Probability
Second, the researcher wishes to use graphical descriptive methods to present summaries of the data on each of the two variables: hours worked per week and income earned per year, as stored in HOURSWORKED63 worksheet.
(a) The number of observations (n) is 63 individuals. The researcher suggests using 7 class intervals to construct a histogram for each variable. Explain how the researcher would have decided on the number of class intervals (K) as 7.
Data of HOURSWORKED63 Excel spraedsheet is below:
Yearly Income ('000's) | Hours Per Week |
43.8 | 18 |
44.5 | 13 |
44.8 | 18 |
46.0 | 25.5 |
41.4 | 11.6 |
43.3 | 18 |
43.6 | 16 |
46.2 | 27 |
46.8 | 27.5 |
48.2 | 30.5 |
49.3 | 24.5 |
53.8 | 32.5 |
53.9 | 25 |
54.2 | 23.5 |
50.5 | 30.5 |
51.2 | 27.5 |
51.5 | 28 |
52.6 | 26 |
52.8 | 25.5 |
52.9 | 26.5 |
49.5 | 33 |
49.8 | 15 |
50.3 | 27.5 |
54.3 | 36 |
55.1 | 27 |
55.3 | 34.5 |
61.7 | 39 |
62.3 | 37 |
63.4 | 31.5 |
63.7 | 37 |
55.5 | 24.5 |
55.6 | 28 |
55.7 | 19 |
58.2 | 38.5 |
58.3 | 37.5 |
58.4 | 18.5 |
59.2 | 32 |
59.3 | 35 |
59.4 | 36 |
60.5 | 39 |
56.7 | 24.5 |
57.8 | 26 |
63.8 | 38 |
64.2 | 44.2 |
55.8 | 34.5 |
56.2 | 34.5 |
64.3 | 40 |
64.5 | 41.5 |
64.7 | 34.5 |
66.1 | 42.3 |
72.3 | 34.5 |
73.2 | 28 |
74.2 | 38 |
68.5 | 31.5 |
69.7 | 36 |
71.2 | 37.5 |
66.3 | 22 |
66.5 | 33.5 |
66.7 | 37 |
74.6 | 43.5 |
62.0 | 20 |
57.3 | 35 |
55.3 | 24 |