Cumulative Frequency Worksheet
This worksheet covers key concepts of cumulative frequency, including constructing tables, drawing graphs, and interpreting data for Grade 9 Math students.
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Cumulative Frequency Worksheet
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Date:
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Read each question carefully and provide your answer in the space provided. Show all your working for questions requiring calculations or graphs.
1. The following data shows the heights (in cm) of 20 students in a class:
150, 155, 158, 160, 162, 165, 165, 168, 170, 170, 172, 173, 175, 175, 175, 178, 180, 182, 185, 188
Complete the cumulative frequency table below using class intervals of 5 cm, starting from 150 cm.
Height (cm)
Frequency
Cumulative Frequency
150 < h ≤ 155
155 < h ≤ 160
160 < h ≤ 165
165 < h ≤ 170
170 < h ≤ 175
175 < h ≤ 180
180 < h ≤ 185
185 < h ≤ 190
2. Using the cumulative frequency table from Question 1, draw a cumulative frequency graph (ogive) on the grid below. Label your axes clearly.
3. Refer to your cumulative frequency graph from Question 2. What is the median height of the students?
165 cm
170 cm
172.5 cm
175 cm
4. Using your cumulative frequency graph from Question 2, estimate the lower quartile (Q1) and the upper quartile (Q3) of the students' heights. Then calculate the interquartile range (IQR).
Lower Quartile (Q1):
Upper Quartile (Q3):
Interquartile Range (IQR):
5. Cumulative frequency is the running total of the . It is used to find the number of observations that fall below a certain .
6. A cumulative frequency graph is also known as an ogive.
True
False
7. The cumulative frequency graph below shows the marks obtained by 100 students in a math test.
a) How many students scored less than 60 marks?
b) If the pass mark is 40, how many students failed the test?