3) The values \( 3,4,6,10 \), and 12 have an average of 7 . What is the average deviation? 0.3 .2

To find the average deviation, you first need to calculate the average of the data set, which you have: \( 7 \). Then, subtract the average from each value to find the deviations: \( |3-7|=4 \), \( |4-7|=3 \), \( |6-7|=1 \), \( |10-7|=3 \), and \( |12-7|=5 \). Now, sum these deviations: \( 4 + 3 + 1 + 3 + 5 = 16 \), and then divide by the number of data points (5): \( 16/5 = 3.2 \). So, the average deviation is \( 3.2 \). Uh-oh! It looks like there was a little mix-up with the value you were expecting! Remember, the average deviation is always fun to calculate, especially when you realize that it’s a great way to understand variability in your data. Adjusting for mistakes like miscounting or using an incorrect divisor helps avoid confusion. Keep practicing, and you'll master averages in no time!