To calculate the three-year moving averages for the given set of values, we need to take the average of each consecutive group of three numbers. The steps are as follows:
- Consider the first three numbers: 17, 26, 20. Calculate their average:
Average = (17 + 26 + 20) / 3 = 63 / 3 = 21. - Consider the next three numbers: 26, 20, 35. Calculate their average:
Average = (26 + 20 + 35) / 3 = 81 / 3 = 27. - Consider the last three numbers: 20, 35, 44. Calculate their average:
Average = (20 + 35 + 44) / 3 = 99 / 3 = 33.
Thus, the three-year moving averages for the given data set are 21, 27, 33. This matches with the correct answer provided in the options.