Question: 130 students take a 10-question quiz. Nobody missed all the questions; 4 people got 1 correct; 7 people answered 2 correct; 10 people got 3 correct; 15 people got 4 correct; 24 people got 5 correct; 22 people got 6 correct; 24 people got 7 correct; 15 people got 8 correct; 7 people got 9 correct; and 2 people got all 10 correct.

a. Portray these results in the form of a table, showing the test scores in ascending order from top to bottom in the left-hand column, and the absolute frequencies for each score in the right-hand column.

b. Construct a histogram for the data.

c. Find the mean, median, mode, and mid-range for the quiz results in the class.

d. Find the variance and standard deviation of the distribution of scores for the hypothetical quiz and round to 3 decimal places.

e. In the quiz scenario, how many students got scores within one standard deviation of the mean? What percentage of the total students does this represent?