Answer and explanation:
Sure, I can help you with that. Here’s the solution to your homework problem:
The average (or mean) is calculated by adding all the scores and dividing by the number of scores. For the given data, the average is (92 + 95 + 85 + 80 + 75 + 50) / 6 = 79.5.
The variance is calculated by taking the average of the squared differences between each score and the mean. For the given data, the variance is ((92-79.5)^2 + (95-79.5)^2 + (85-79.5)^2 + (80-79.5)^2 + (75-79.5)^2 + (50-79.5)^2) / 6 = 218.25.
The standard deviation is the square root of the variance, so for this data, it is sqrt(218.25) = 14.77.
So, the average of these scores is 79.5, the variance is 218.25, and the standard deviation is 14.77.