Lesson Worksheet: Cumulative Frequency Graphs Mathematics • 9th Grade
In this worksheet, we will practice drawing a cumulative frequency diagram and using it to make estimations about the data.
The table shows the number of hours that 100 students spent revising for an exam.
|Number of Hours||0–||2–||4–||6–||8–||10–|
Determine the missing cumulative frequency results.
- A0, 10, 29, 66, 90, 100
- B0, 10, 29, 56, 90, 100
- C0, 10, 29, 66, 80, 100
- D0, 10, 29, 66, 90, 91
- E10, 10, 29, 66, 90, 100
The following table shows the ages of people applying to a company.
|Number of Applicants||2||5||10||14||12||11||8||7||69|
What are the missing values from the cumulative frequency table respectively?
- A7, 22, 48, 74
- B2, 17, 69, 43
- C7, 22, 74, 48
- D2, 17, 43, 69
- E2, 16, 42, 68
Mason took a sample of 100 balls from a box. He weighed each ball and recorded its weight in the table.
He used the data to draw the cumulative frequency graph shown on the grid.
Estimate how many balls had a weight of less than 80 g.
Estimate how many balls had a weight of 130 g or more.
- A78 balls
- B12 balls
- C11 balls
- D22 balls
- E32 balls
A botanist records the height in centimeters of 120 tomato plants in an experiment testing different growing conditions. By drawing a cumulative frequency curve to represent the data, estimate the number of plants with a height less than 116 cm.
- A98 plants
- B22 plants
- C11 plants
- D90 plants
- E30 plants
The following table shows different weights of boxes in a warehouse. Note that no box is heavier than 210 kg.
Which of the following is the cumulative frequency graph?
Find the number of boxes that have a greater than 180 kg.