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 |