The IRS was interested in the number of individual tax forms prepared by small a
ID: 3202583 • Letter: T
Question
The IRS was interested in the number of individual tax forms prepared by small accounting firms. The IRS randomly sampled 53 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 20 up to 45 4 45 up to 70 12 70 up to 95 23 95 up to 120 9 120 up to 145 5 Estimate the mean and the standard deviation. (Round squared deviations to nearest whole number and final answer to 2 decimal places.) Mean Standard deviation The IRS was interested in the number of individual tax forms prepared by small accounting firms. The IRS randomly sampled 53 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 20 up to 45 4 45 up to 70 12 70 up to 95 23 95 up to 120 9 120 up to 145 5 Estimate the mean and the standard deviation. (Round squared deviations to nearest whole number and final answer to 2 decimal places.) Mean Standard deviation
Explanation / Answer
Mean = total frequency / number og values
= 53 / 5
= 10.6
Standard deviation = sqrt [ sum [( x - mean) ^2 / n]]
= sqrt[ sum [(4 - 10.6)^2 + ( 12 - 10.6)^2 + ( 23 - 10.6)^2 + (9 - 10.6)^2 + (5 -10.6)^2/ 5]]
= 6.82
No. of clients Frequency 20 upto 45 4 45 upto 70 12 70 upto 95 23 95 upto 120 9 120 upto 145 5Related Questions
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