Worksheet: Frequency Table

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

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 20–24 25–29 30–34 35–39 40–44 45–49 50–54 55– Total
Number of Students 12 6 5 5 2 2 6 3 41
  • A 9 %
  • B 7 1 3 4 1 %
  • C 6 %
  • D 2 1 3 9 4 1 %

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 25–29 30–34 35–39 40–44 45–49 50–54 Total
Frequency 32
  • A 7 , 1 0 , 8 , 7 , 6 , 2
  • B 4 , 6 , 3 , 5 , 4 , 2
  • C 2 , 1 , 3 , 2 , 0 , 2
  • D 6 , 7 , 6 , 7 , 4 , 2
  • E 5 , 7 , 6 , 7 , 4 , 2

Q4:

Complete the frequency table by finding the value of 𝑦 .

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

Q5:

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

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

Q6:

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

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

Q7:

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

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

Q8:

Complete the frequency table by finding the value of 𝑥 .

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

Q9:

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

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

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

Q11:

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

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

Q12:

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

Sets 135–154 155–174 𝑥 –194 195–214 215–234 Total
Frequency 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) 115–119 120–124 125–129 130–134 135–139 140–144 145– Total
Number of Students 15 23 15 9 18 9 11 100

Q14:

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

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

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

Q16:

Complete the frequency table by finding the value of 𝑥 .

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

Q17:

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

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

Q18:

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

Mark 0–4 5–9 10–14 15–19 20–24 25–29 30– Total
Frequency 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 0–1 2–3 4–5 6–7 8– Total
Frequency 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 2–3 4–5 6–7 8–9 10– Total
Number of students 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) 40–49 50–59 60–69 70–79 80–89 90–99 100– Total Number of Workers
Number of Workers 7 6 13 13 4 10 3 56

Q22:

The table shows donations made by students to a charity. How many students made donations of 5 0 p o u n d s or more?

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

Q23:

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

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

Q24:

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

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

Q25:

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

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

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