Final answer:
The average number of hours worked rounded to the nearest tenth of an hour by all employees is 24.5 hours.
Step-by-step explanation:
To find the average number of hours worked rounded to the nearest tenth of an hour by all employees, we need to calculate the weighted average. The weight for each data point will be the number of employees.
To calculate the weighted average, we multiply each value by its corresponding weight, sum up the results, and divide by the total number of employees.
So, the average number of hours worked rounded to the nearest tenth of an hour by all employees is ((10*11) + (15*16) + (20*23) + (30*18) + (35*13) + (40*12)) / (11 + 16 + 23 + 18 + 13 + 12) = 24.5 hours. Rounding it to the nearest tenth gives us 24.5 hours.