Population Comparison Worksheets Grade 7

1. Liam is comparing the test scores of two different classes. Class A has 28 students with a mean score of 82, and Class B has 32 students with a mean score of 78. What is the combined mean score for both classes?
2. Population A: mean = 67, median = 64, IQR = 18. Population B: mean = 74, median = 76, IQR = 12. Compare the centers and variabilities of the two populations.
3. A rectangular city park is drawn on a coordinate plane with corners at (0, 0), (120, 0), (120, 80), and (0, 80). A diagonal walking path is drawn from point (0, 0) to point (120, 80), dividing the park into two triangular sections. What is the area of the larger triangular section in square meters?

…and 5 more problems

1. A city is comparing the average monthly rainfall in two neighborhoods over a year. Neighborhood A had rainfall amounts of 85 mm, 92 mm, 78 mm, 105 mm, 110 mm, 95 mm, 88 mm, 82 mm, 76 mm, 98 mm, 102 mm, and 90 mm. Neighborhood B had rainfall amounts of 72 mm, 85 mm, 79 mm, 94 mm, 108 mm, 112 mm, 96 mm, 84 mm, 77 mm, 101 mm, 106 mm, and 89 mm. Which neighborhood had the higher mean monthly rainfall, and by how much?
2. Population A: mean = 102, median = 98, IQR = 24. Population B: mean = 115, median = 112, IQR = 15. Compare the two populations using measures of center and variability.
3. (-3)² - 4 × (-2) + 12 ÷ (-4) = ?

…and 5 more problems

1. Liam and Olivia each recorded the number of minutes they spent reading each day for 10 days. The double box plot below shows their data. Liam's data has a minimum of 15, first quartile of 30, median of 45, third quartile of 60, and maximum of 75. Olivia's data has a minimum of 20, first quartile of 35, median of 50, third quartile of 65, and maximum of 80. Compare the two data sets by describing the differences in their medians and interquartile ranges (IQR).
2. (-3)² × 2 - 4 × (-5) + 12 ÷ (-3) = ?
3. A city is comparing the average daily ridership of two public transportation systems. The bus system had an average of 12,450 riders per day last month, while the light rail system had an average of 8,760 riders per day. If the bus system operated for 28 days and the light rail system operated for 31 days, which transportation system had more total riders for the month, and by how many?

…and 4 more problems