Answer
Mean = 85.6
Median = 90
Mode = 95
Range = 35
Step-by-step explanation
We are given a data distribution and told to find the mean, median, mode and range.
So. we will take it one at a time.
Mean
The mean is the average of the distribution. It is obtained mathematically as the sum of variables divided by the number of variables.
Mean = (Σx)/N
x = each variable
Σx = Sum of the variables
N = number of variables
Σx = 75 + 95 + 90 + 95 + 60 + 95 + 75 + 95 + 90 = 770
N = 9 variables
Mean = (Σx)/N = (770/9) = 85.6
Median
The median is the variable that falls in the middle of the distribution when all the variables are arranged either in ascending or descending order.
So, to obtain the median for this, we have to arrange all the scores in data.
75,95,90,95,60,95,75,95,90
Arranged, we have
60, 75, 75, 90, 90, 95, 95, 95, 95
After arranging, we can see that the fifth variable or the variable in the fifth position is the median.
Median = 90
Mode
The mode is the variable that occurs the most frequently in the distribution.
We can easily see that 95 is the score that occurs the most (four times), hence,
Mode = 95
Range
The range is the difference between the variable with the greatest value and the variable with the least value. Mathematically, that is,
Range = (Variable with the greatest value) - (Variable with the least value)
Variable with the greatest value = 95
Variable with the least value = 60
Range = 95 - 60 = 35
Hope this Helps!!!