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Lesson Worksheet: Grouped Frequency Tables Mathematics

In this worksheet, we will practice constructing, reading, and interpreting frequency tables for a given quantitative data set.

Q1:

The tally chart shows the marks that students in a class received in a mathematics test. Using the information from the tally chart, complete the frequency table.

Sets5–10–15–20–25–
Tally
Sets5–10–15–20–25–
Frequency
  • A10,14,12,16,6
  • B9,14,12,16,6
  • C9,15,12,16,6
  • D8,13,11,15,5
  • E9,14,12,15,6

Q2:

Complete the frequency table which shows the marks a group of students received in a test.

Marks20–2425–2930–3435–3940–4445–4950–Total
Frequency 4 5 15 9 10 4 50

Q3:

The table shows the number of classes of varying sizes in a school. Using the data, complete the frequency table.

Class Size 16 17 18 19 20 21
Number of Classes 4 2 3 5 1 4
Class Size 16-17 18-19 20-21
Frequency
  • A9, 9, 10
  • B9, 8, 5
  • C6, 8, 5
  • D6, 5, 9

Q4:

Using the data given for number of absences, complete the frequency table.

7 10 7 8 5 1 2 7
6 2 4 3 2 8 5 6
5 8 9 8 2 1 10 9
10 9 10 3 9 7 7 8
Number of Absences1-23-45-67-89-10
Frequency
  • A3,6,5,8,10
  • B6,3,5,10,8
  • C8,10,5,3,6
  • D10,8,5,3,6

Q5:

The table of numbers shows the marks of 30 students in a mathematics exam.

25 37 31 39 26 23 27 31 20 33
35 37 23 37 21 33 24 27 36 27
32 26 30 37 25 31 32 21 28 32

Using this data, complete the frequency table.

Marks 20–23 24–27 28–31 32–3536–Total
Frequency30
  • A4,7,4,3,5
  • B5,8,5,6,6
  • C6,8,7,4,5
  • D6,9,8,7,6
  • E3,7,5,8,7

Q6:

The table shows the marks that a class of students received in a mathematics test. How many students got less than 45 marks?

Marks20–2425–2930–3435–3940–4445–4950–5455–Total
Number of Students 7 8 2 5 6 5 9 2 44

Q7:

The table shows the marks of 100 students in a recent science exam. How many students received 40 marks or more?

Mark0–910–1920–2930–3940–4950–Total
Frequency 6 15 12 26 23 18 100

Q8:

The table of data shows the heights in centimeters of teachers at a school. Using a frequency table, find the number of teachers who are 175 cm or more.

179 169 193 171 163 186 178 173
167 166 195 156 163 190 171 195
156 186 187 159 172 169 184 195
159 168 179 155 178 162 174 167
193 177 159 179 162 189 163 182
181 167 189 173 187 159 170 186

Q9:

The table shows the number of days taken off work by 40 workers in a year. By constructing a frequency table or otherwise, calculate the number of workers who took 20 or more days off work.

16 18 5 20 15 26 12 17 8 5
5 12 26 30 23 22 21 30 25 21
27 15 12 28 11 12 26 12 13 23
6 29 28 5 20 12 10 24 23 14

Q10:

The table shows the marks that 30 students received in a mathematics test. How many students received 36 marks or more?

32 33 34 50 31 30 25 27 46 44
23 50 29 35 50 33 31 22 38 40
30 32 47 46 21 32 29 26 23 40

This lesson includes 78 additional questions and 756 additional question variations for subscribers.

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