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Lesson: Frequency Table

In this lesson, we will learn how to read and interpret frequency tables and tally charts and how to form a frequency table for a given quantitative data set.

Sample Question Videos

01:50
01:16

Worksheet • 25 Questions • 2 Videos

Q1:

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
  • A6, 8, 5
  • B9, 9, 10
  • C9, 8, 5
  • D6, 5, 9

Q2:

The table shows the marks out of 10 that students scored in a test. How many students scored higher than the modal mark?

Mark 5 6 7 8 9 10
Frequency 3 1 18 12 10 5
  • A27 students
  • B18 students
  • C45 students
  • D22 students
  • E4 students

Q3:

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

Mark 0–9 10–19 20–29 30–39 40–49 50– Total
Frequency 6 15 12 26 23 18 100

Q4:

The given tally chart shows items sold at a school shop. How many items were sold altogether?

Item Rubber Highlighter Pencil Scissors
Tally
  • A19
  • B16
  • C18
  • D10
  • E21

Q5:

The tally chart shows a group of students’ favourite superheroes. Were fourteen students surveyed?

Superhero Wolverine Superman Wonder Woman Spider-Man
Number of Students
  • Ano
  • Byes

Q6:

Fady conducted a survey to determine the favorite sandwiches of the students in his class. The results of the survey are shown in this tally chart. Which sandwiches are more popular than peanut butter?

Type of Sandwich Turkey Roast Beef Tuna Salad Peanut Butter Ham
Tally
  • Aham
  • Bham, roast beef
  • Cham, roast beef, turkey
  • Dtuna salad

Q7:

The table shows the number of days each student has been absent. Use this data to complete the frequency table.

6 4 0 5 4 2 2 2 6 4
1 3 2 6 6 3 0 1 6 1
4 5 0 4 6 1 3 6 3 1
1 5 2 6 3 5 1 6 6 0
Number of Days Absent 0 1 2 3 4 5 6
Frequency
  • A 4 , 7 , 5 , 5 , 5 , 4 , 1 0
  • B 4 , 7 , 4 , 5 , 4 , 4 , 1 0
  • C 5 , 7 , 5 , 5 , 5 , 4 , 1 0
  • D 4 , 8 , 5 , 5 , 5 , 3 , 1 0
  • E 5 , 7 , 5 , 6 , 5 , 4 , 1 0

Q8:

The frequency table below shows the weights of 40 students in a class. How many students weigh less than 50 kg?

Weight, 𝑤 30– 35– 40– 45– 50– Total
Frequency 5 8 12 9 6 40

Q9:

The table shows the weekly wages of 30 workers in a factory. By forming the frequency table using the intervals 30–39, 40–49, 50–59, 60–69, 70–79, 80–89, and 90–99, find which interval has the highest frequency.

43 47 43 99 54 47 53 100 46 97
50 41 36 72 38 37 80 46 74 74
30 34 32 97 90 35 68 87 78 30
  • A30–39
  • B40–49
  • C60–69
  • D50–59

Q10:

The table shows the heights of 100 students in a school. How many students’ heights are greater than or equal to 120 cm?

Height (cm) 115–119 120–124 125–129 130–134 135–139 140–144 145– Total
Number of Students 12 12 20 16 12 10 18 100

Q11:

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 32–35 36– Total
Frequency 30
  • A5, 8, 5, 6, 6
  • B6, 9, 8, 7, 6
  • C6, 8, 7, 4, 5
  • D4, 7, 4, 3, 5
  • E3, 7, 5, 8, 7

Q12:

The table shows the marks of 60 students in a science exam. How many students failed the test given that the pass mark was 30?

Marks 0–9 10–19 20–29 30–39 40–49 50– Total
Frequency 3 18 10 8 15 6 60

Q13:

Maged recorded the number of glasses of juice he sold in his neighborhood each day in this tally chart. Which day has the same number of tally marks as Monday?

Day Monday Tuesday Wednesday Thursday Friday
Tally
  • AFriday
  • BWednesday
  • CTuesday
  • DThursday

Q14:

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 Absences 1-2 3-4 5-6 7-8 8–10
Frequency
  • A 6 , 3 , 5 , 1 0 , 8
  • B 3 , 6 , 5 , 8 , 1 0
  • C 8 , 1 0 , 5 , 3 , 6
  • D 1 0 , 8 , 5 , 3 , 6

Q15:

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

Marks 20–24 25–29 30–34 35–39 40–44 45–49 50– Total
Frequency 4 5 15 9 10 4 50

Q16:

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

Marks 20–24 25–29 30–34 35–39 40–44 45–49 50–54 55– Total
Number of Students 7 8 2 5 6 5 9 2 44

Q17:

The table shows the marks that a class of students received in their mathematics test. How many students are in the class?

Marks 0–1 2–3 4–5 6–7 8–
Frequencies 8 4 5 2 10

Q18:

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.

Sets 5– 10– 15– 20– 25–
Tally
Sets 5– 10– 15– 20– 25–
Frequency ⋯ ⋯ ⋯ ⋯ ⋯
  • A 9 , 1 4 , 1 2 , 1 6 , 6
  • B 9 , 1 5 , 1 2 , 1 6 , 6
  • C 8 , 1 3 , 1 1 , 1 5 , 5
  • D 1 0 , 1 4 , 1 2 , 1 6 , 6
  • E 9 , 1 4 , 1 2 , 1 5 , 6

Q19:

Which of the following survey questions is least biased?

  • AFor each of the beverages given, indicate how often you drink them during meals.
  • BDrinking sodas during a high-protein meal has been shown to decrease metabolic efficiency, which may prompt the body to store more fat. How often do you drink sodas during meals?
  • COn a scale from 1 to 10, how do you rate the frequency and quantity of sodas you drink during meals?
  • DHow often do you manage to drink water rather than sodas during meals?

Q20:

The table of data shows the heights in centimetres 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

Q21:

Identify the source of bias in the question: “Do you believe the government should implement measures proposed by the opposition which would ensure that everyone in the country has access to good health care services?”

  • Abiased wording (or leading question)
  • Bquestion preface
  • Cdesire to please
  • Dtwo questions in one

Q22:

Is the following a survey, an observational study, or an experiment?

A group of students wanted to find out what type of music their schoolmates listen to. They asked their fellow students at random during break time about the types of music they liked and recorded the answers.

  • Aobservational study
  • Bsurvey
  • Cexperiment

Q23:

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

Q24:

The tally chart shows the marks students received in a mathematics test. How many students received less than 10 marks?

Mark 5–9 10–14 15–19 20–24 25–29
Frequency

Q25:

The tally chart shows the results of a survey to find the favourite subject in a class. What subject is the least popular?

Subject Mathematics Science History Art Music
Tally
  • Aart
  • Bmusic
  • Cscience
  • Dmathematics
  • Ehistory
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