A time study of operations yielded the following observed times for one element of the job; the analyst gave a performance rating of 1.13. Using an allowance of 20%, determine the appropriate standard time for this operation.

Observations Time, x
1 1.12
2 1.15
3 1.16
4 1.12
5 1.15

To determine the appropriate standard time for this operation, we need to follow these steps:

Step 1: Calculate the average time
Add up all the observed times and divide by the number of observations to get the average time.

Average time = (1.12 + 1.15 + 1.16 + 1.12 + 1.15) / 5 = 1.14

Step 2: Calculate the time allowance
Multiply the average time by the allowance percentage to get the time allowance.

Time allowance = 1.14 * 0.2 = 0.228

Step 3: Calculate the standard time
Add the average time and the time allowance to get the standard time.

Standard time = average time + time allowance = 1.14 + 0.228 = 1.368

Therefore, the appropriate standard time for this operation is 1.368.