Question

Five friends recorded the number of action figures each friend has. The following is the dataset they recorded: {7,9,10,11,11}. Which of the following correctly calculates the average deviation from the mean number of action figures?

Answer 1

To calculate the average deviation from the mean number of action figures, we first need to calculate the mean of the dataset:

Mean = (7 + 9 + 10 + 11 + 11) / 5
= 48 / 5
= 9.6

Next, we calculate the deviation of each data point from the mean:

Deviation from mean = {|7-9.6|, |9-9.6|, |10-9.6|, |11-9.6|, |11-9.6|}
= {2.6, 0.6, 0.4, 1.4, 1.4}

Now, we calculate the average deviation from the mean by adding up the deviations and dividing by the total number of data points:

Average deviation = (2.6 + 0.6 + 0.4 + 1.4 + 1.4) / 5
= 6.4 / 5
= 1.28

Therefore, the correct calculation for the average deviation from the mean number of action figures is 1.28.