Question

Grades 50 through 64 frequency 2 grades 65 through 74 frequency 4 grade 75 through 80 frequency 1 grades 81 through 85 frequency 5 85 through 94 frequency 895 through 100 grade frequency 6 the table represents the data in a histogram and one to two sentences describe the shape of the data and find the range of the data

Answer 1

To describe the shape of the data represented in the histogram based on the provided frequency distribution, we can note that the highest frequencies are concentrated in the grade ranges of 81-85 and 85-94, suggesting a rightward skew (positive skew) since most of the data falls towards the higher grade ranges.

To find the range of the data, we subtract the lowest grade from the highest grade. The lowest grade in the data is 50 (from the range 50-64) and the highest grade is 100, so:

Range = Highest grade - Lowest grade = 100 - 50 = 50.

Therefore, the range of the data is 50.