find the mean absolute deviation of 15,16,14,15,19, and 23/ round your answer to two decimal places

1 answer

To find the mean absolute deviation, follow these steps:

1. Calculate the mean of the given values:
Mean = (15 + 16 + 14 + 15 + 19 + 23) / 6 = 102 / 6 = 17

2. Calculate the absolute deviations from the mean for each value:
|15 - 17| = 2
|16 - 17| = 1
|14 - 17| = 3
|15 - 17| = 2
|19 - 17| = 2
|23 - 17| = 6

3. Calculate the mean of the absolute deviations:
Mean Absolute Deviation = (2 + 1 + 3 + 2 + 2 + 6) / 6 = 16 / 6 = 2.67

Therefore, the mean absolute deviation of the given values is approximately 2.67 (rounded to two decimal places).