Homework SourseThe IRS was interested in the number of individual tax forms
The IRS was interested in the number of individual tax forms prepared by small accounting firms. The IRS randomly sampled 47 public accounting firms with 10 or fewer employees in the Dallas-Fort Worth area. The following frequency table reports the results of the study.
Number of Clients
Frequency
35 up to 45
2
45 up to 55
15
55 up to 65
20
65 up to 75
6
75 up to 85
4
| The IRS was interested in the number of individual tax forms prepared by small accounting firms. The IRS randomly sampled 47 public accounting firms with 10 or fewer employees in the Dallas-Fort Worth area. The following frequency table reports the results of the study. |
Solution
Consider:
Thus,
Mean = Sum(xf) / Sum(f) = 58.93617021 = 58.94 [ANSWER]
Variance = [Sum(x^2f) - Sum(xf)^2/Sum(f)]/[Sum(f)-1] = 96.66975023
Standard deviation = sqrt(Variance) = 9.832077615 = 9.83 [answer]
| Consider the table: | |||
| x | f | x f | x^2 f |
| 40 | 2 | 80 | 3200 |
| 50 | 15 | 750 | 37500 |
| 60 | 20 | 1200 | 72000 |
| 70 | 6 | 420 | 29400 |
| 80 | 4 | 320 | 25600 |
