Worksheet: Frequency Table

In this worksheet, we will practice constructing frequency tables by choosing appropriate scales and intervals for them and finding missing values to complete them.

Q1:

The frequency table shows the marks a group of students received in an exam. How many students got 20 marks or more?

 Marks Total Number of Students 55 5–9 10–14 15–19 20–24 25–29 30–34 35–39 12 2 9 12 4 9 7

Q2:

The table shows the marks that a class of students received in a mathematics test. What percentage of the students scored at least 50 marks?

 Marks Total Number of Students 41 20–24 25–29 30–34 35–39 40–44 45–49 50–54 55– 12 6 5 5 2 2 6 3
• A
• B
• C
• D

Q3:

The table shows the marks that 32 students received in their mathematics test. Using this data, complete the frequency table.

 31 32 41 27 29 43 38 41 50 35 34 25 50 35 47 49 47 35 28 44 32 36 38 30 31 49 27 25 40 44 33 40
 Mark Total Frequency 32 25–29 30–34 35–39 40–44 45–49 50–54
• A
• B
• C
• D
• E

Q4:

Complete the frequency table by finding the value of .

 Interval Total Frequency 65 10–19 20–29 30–39 40–49 50–59 12 14 15 𝑦 14

Q5:

The table shows the average temperatures recorded in 45 cities on one day. How many cities had a temperature below 22 degrees?

 Temperature ( Total Number of Cities 45 ∘ ) 20–21 22–23 24–25 26–27 28–29 14 7 10 8 6

Q6:

The table shows the number of days off in a year 50 workers spent on holiday. Find the value of .

 Days Holiday Total Number of Workers 50 2–5 6–9 10–13 14–17 18–21 22–25 26– 9 2 𝐾 − 3 6 10 5 11

Q7:

The table shows the weights, approximated to the nearest kilogram, of 40 students. How many students weigh 45 kg or more?

 Sets Total Frequency 40 30–34 35–39 40–44 45–49 50–54 4 9 11 7 9

Q8:

Complete the frequency table by finding the value of .

 Sets Total Frequency 50 10-19 20-29 30-39 40-49 𝑥 -59 60-69 3 13 6 8 11 9

Q9:

The table shows donations made by students to a charity. How many students donated between 60–70 pounds?

 Donation in Pounds Total Number of Students Number of Students 37 20–29 30–39 40–49 50–59 60–69 70– 4 2 3 7 16 5

Q10:

The table shows the bonuses received by 75 factory workers. How many workers received a bonus which was less than 50 LE?

 Bonus (LE) Total Number of Workers 75 20–29 30–39 40–49 50–59 60–69 70– 10 5 10 15 25 10

Q11:

The table shows the weights of 64 students. Find the value of .

 Weight (kg) Total Number of Students 64 50–54 55–59 60–64 65–69 70–74 75– 𝐾 + 5 3 𝐾 2 𝐾 2 𝐾 + 4 3 𝐾 − 1 6 𝐾 − 1

Q12:

The table shows the daily income of 40 workers. Find the value of .

 Sets Total Frequency 135–154 155–174 𝑥 –194 195–214 215–234 15 7 6 8 4 40

Q13:

The table shows the heights of 100 students in a school. How many students’ heights are less than 135 cm?

 Height (cm) Total Number of Students 100 115–119 120–124 125–129 130–134 135–139 140–144 145– 15 23 15 9 18 9 11

Q14:

The table shows donations made by students to a charity. How many students made donations in the highest interval?

 Donations in Pounds Total number of students Number of students 32 20–29 30–39 40–49 50–59 60–69 70– 11 7 2 3 5 4

Q15:

The table shows the marks that a class of students received in a mathematics test. How many students got more than 40 marks?

 Marks Total Number of Students 41 20–24 25–29 30–34 35–39 40–44 45–49 50–54 55– 4 5 6 4 6 5 4 7

Q16:

Complete the frequency table by finding the value of .

 Sets Total Frequency 50 90–109 𝑥 –129 130–149 150–169 170–189 6 9 15 6 6

Q17:

The table shows donations made by students to a charity. How many students made donations in the lowest interval?

 Donation in Pounds Total Number of Students Number of Students 31 20–29 30–39 40–49 50–59 60–69 70– 4 6 2 7 3 9

Q18:

The table shows the distribution of exam marks in mathematics of 73 students. Complete the table by finding the value of .

 Mark Frequency 0–4 5–9 10–14 15–19 20–24 25–29 30– Total 6 5 6 15 𝑘 11 12 73

Q19:

The table shows the marks that a class of students received in their mathematics test. Complete the table.

 Marks Total Frequency 0–1 2–3 4–5 6–7 8– 7 16 12 16 9

Q20:

Complete the table which shows the results from a questionnaire given to 60 university students.

 Hours studied per day Total Number of students 2–3 4–5 6–7 8–9 10– 12 15 14 13 60

Q21:

The table shows the wages of factory workers. What is the minimum weekly wage at the factory?

 Weekly Wages (LE) Total Number of Workers Number of Workers 56 40–49 50–59 60–69 70–79 80–89 90–99 100– 7 6 13 13 4 10 3

Q22:

The table shows donations made by students to a charity. How many students made donations of or more?

 Donation in Pounds Total Number of Students Number of Students 39 20–29 30–39 40–49 50–49 60–69 70– 13 7 2 8 6 3

Q23:

The table shows donations made by students to a charity. How many students made donations of less than 70 pounds?

 Donation in Pounds Total Number of Students Number of Students 37 20–29 30–39 40–49 50–59 60–69 70– 9 7 12 3 2 4

Q24:

The table shows the wages of factory workers. How many workers earn less than 90 LE a week?

 Weekly Wages (LE) Total Number of Workers Number of Workers 56 80–89 90–99 100–109 110–119 120–129 130–139 140– 18 6 4 6 6 4 12

Q25:

The table shows the wages of factory workers. How many workers earn 110–119 LE in a week?

 Weekly Wages (LE) Total Number of Workers Number of Workers 56 80–89 90–99 100–109 110–119 120–129 130–139 140– 5 2 4 13 3 10 19