Pinky Bauer,Chief Financial Officer of Harrison Haulers,Inc.,suspects irregularities in the payroll system,and orders an inspection of "each and every payroll voucher issued since January 1,1993." Each payroll voucher was inspected and the following frequency distribution was compiled. The mean number of errors per voucher is __________.

Question

Pinky Bauer,Chief Financial Officer of Harrison Haulers,Inc.,suspects irregularities in the payroll system,and orders an inspection of "each and every payroll voucher issued since January 1,1993." Each payroll voucher was inspected and the following frequency distribution was compiled.  The mean number of errors per voucher is __________.

Quizplus · Accepted Answer

To find the mean number of errors per voucher, we need to calculate the sum of errors and divide it by the total number of vouchers inspected. From the frequency distribution, we can see that there were 2 vouchers with 0 errors, 7 vouchers with 1 error, 12 vouchers with 2 errors, 11 vouchers with 3 errors, 6 vouchers with 4 errors, and 2 vouchers with 5 errors.

Therefore, the sum of errors = (0 x 2) + (1 x 7) + (2 x 12) + (3 x 11) + (4 x 6) + (5 x 2) = 95
Total number of vouchers inspected = 26

Mean number of errors per voucher = Sum of errors / Total number of vouchers inspected
= 95 / 26
≈ 3.67

Thus, the best choice is A) 3.67, as it represents the mean number of errors per voucher.