The grades for 20 students on the most recent exam are given in the data table below. Round your answers to 2 decimal places as needed
Mean
Median
Standard deviation
Minimum score
Highest score
So, the mean is
Step 1 :First, list all the scores in ascending order: 41, 41, 42, 46, 49, 52, 54, 57, 58, 72, 73, 75, 76, 79, 82, 83, 85, 88, 92, 92
Step 2 :Calculate the mean by summing all the scores and dividing by the number of scores:
Step 3 :Find the median by taking the average of the 10th and 11th scores:
Step 4 :Calculate the squared differences from the mean:
Step 5 :Calculate the average of these squared differences to get the variance:
Step 6 :Take the square root of the variance to get the standard deviation:
Step 7 :The minimum score is the lowest score:
Step 8 :The highest score is the highest score:
Step 9 :So, the mean is