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?
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.