step one of average pendulum was 38.0, 41.0, 35.0 period is 1.90 move bob back 15cm

This makes no sense. And, is there a question?

To calculate the average period of the pendulum, follow these steps:

1. Sum up all the given values: 38.0 + 41.0 + 35.0 = 114.0.
2. Divide the sum by the number of values given: 114.0 / 3 = 38.0.
3. This gives us the average period of the pendulum before moving the bob back.

To calculate the new period after moving the bob back by 15cm, follow these steps:

1. Subtract 0.15 (15cm) from the previous average period: 38.0 - 0.15 = 37.85.
2. This gives us the new period of the pendulum after moving the bob back by 15cm.