Answer
Mean = 3.64
Median = 3
Explanation
The mean is the sum of variables divided by the number of variables.
Mean = (Σx)/N
Σx = sum of all the variables
x = each variable
N = number of variables
The mean is then calculated by summing up all the variables as can be obtained from the dotplot.
Σx = 0 + (1 × 5) + (2 × 4) + (3 × 3) + (4 × 4) + (5 × 2) + (6 × 3) + (8 × 2) + 9
= 0 + 5 + 8 + 9 + 16 + 10 + 18 + 16 + 9
= 91
N = 25
Mean = (Σx)/N = (91/25) = 3.64
2) Median is the variable that falls at the center of the distribution when the variables are arranged in increasing or decreasing order.
In the given dataset, there are 25 variables, so, the median will be the 13th variable, when the variables are arranged in order.
From the distribution, we can see that when the distribution is arranged in ascending order, the 13th variable = 3
Hope this Helps!!!
