Data and probability · Ages 12–13

Grouped frequency tables worksheet

Part of: Organising data & statistical charts

In the print window, choose “Save as PDF” to download it. The answers print on the last page.

Data and probability · Ages 12–13

Numsprite
numsprite.com

Name:Date:Score:／48

Write each answer in the space. For word problems, show your working and write a sentence answer.

1.Ka-yan records 12 players' scores: 41, 48, 55, 49, 68, 59, 79, 50, 61, 68, 51, 74. The frequencies of the classes 40–49, 50–59, 60–69 and 70–79 are , , and .
Fill in each blank
Answer:
2.The table is a grouped frequency table of how many skips each member of a skipping team made in a minute (the left column is skips, the right members). How many members are in the team?
Answer:
3.The table tallies how many skips each member of a skipping team made in a minute (the left column is skips). How many made 60–69 skips?
Answer:
4.The table is a grouped frequency table of skips in a minute for a skipping team (the left column is skips, the right members). How many made 70 skips or more?
Answer:
5.The table is a grouped frequency table of skips in a minute for a skipping team (the left column is skips, the right members). How many made 50 skips or more?
Answer:
6.A team has 37 members. The table is a grouped frequency table of their skips in a minute (the left column is skips, the right members). What is the '?' in the table?
Answer:
7.A team has 25 members. The table is a grouped frequency table of their skips in a minute (the left column is skips, the right members). What percentage of the team made 50 skips or more?
Answer:
8.A team has 40 members. The table is a grouped frequency table of their skips in a minute (the left column is skips, the right members). What percentage of the team made 80 skips or more?
Answer:

9.The table is a grouped frequency table of skips in a minute (the left column is skips, the right members). More members made fewer than 70 skips than made 70 or more.
True or false?
Answer:
10.The table is a grouped frequency table of a team's weights in kg (the left column is weight, the right players). Which class has the most players?
- A. 40–49
- B. 70–79
- C. 50–59
- D. 60–69
Choose the right answer
Answer:
11.A set of data runs from 49 to 75. Grouping them in classes of width 10, which grouping is suitable?
- A. 40–50、50–60、60–70、70–80
- B. 40–49、50–59、60–69、70–79
- C. 40–48、50–58、60–68、70–78
- D. 50–59、60–69、70–79、80–89
Choose the right answer
Answer:
12.A set of data runs from 22 to 53. Grouping them in classes of width 10, which grouping is suitable?
- A. 20–29、30–39、40–49、50–59
- B. 20–30、30–40、40–50、50–60
- C. 30–39、40–49、50–59、60–69
- D. 20–28、30–38、40–48、50–58
Choose the right answer
Answer:

13.The table is a grouped frequency table of a team's weights in kg (the left column is weight, the right players). How many more players are in the largest class than in the smallest?
Working:
Answer:
14.Ka-lok measures 15 players' heights in cm: 153, 158, 175, 150, 145, 156, 174, 151, 141, 143, 168, 160, 170, 154, 171. The frequencies of the classes 140–149, 150–159, 160–169 and 170–179 are , , and .
Fill in each blank
Working:
Answer:
15.Ka-lok weighs the whole team: the lightest is 42 kg and the heaviest 55 kg (to the nearest kg). For classes 5 kg wide, which grouping is suitable?
- A. 40–44、45–49、50–54
- B. 40–44、45–49、50–54、55–59
- C. 40–43、45–48、50–53、55–58
- D. 40–45、45–50、50–55、55–60
Choose the right answer
Working:
Answer:
16.The table is a grouped frequency table of skips in a minute (the left column is skips, the right members). members made 40 or more, more than made fewer than 40.
Fill in each blank
Working:
Answer:
17.The table is a grouped frequency table of a team's scores (the left column is scores, the right players). The target score is 40. How many players fell short of it?
Working:
Answer:
18.The table is a grouped frequency table of skips in a minute for Ka-yan's team (the left column is skips, the right members). More than half the team made 70 skips or more.
True or false?
Working:
Answer:

Show the answers and working

Grouped frequency tables worksheet: Answers and working

1. 3, 4, 3, 2
Tally each score into its class and count: 3, 4, 3, 2, adding up to 12.
2. 24
The frequencies of the classes from 40 to 89 add up to the number of members: 1 + 3 + 6 + 6 + 8 = 24.
3. 2
The row 60–69 has 2 marks (each four-and-a-bar is 5): 2 members.
4. 11
'70 or more' starts at the class beginning with 70: add its frequency and all after it, 11 members.
5. 30
'50 or more' starts at the class beginning with 50: add its frequency and all after it, 30 members.
6. 10
The '?' is the class 50–59. The frequencies add up to 37, and the other classes hold 27: 37 − 27 = 10.
7. 84%
50 or more: 21 members; 21 ÷ 25 × 100% = 84%.
8. 37.5%
80 or more: 15 members; 15 ÷ 40 × 100% = 37.5%.

9. False
Fewer than 70: the classes before 70, 17 members; 70 or more: 33 members.
10. B. 70–79
The greatest frequency is 14: see which class it belongs to.
11. B. 40–49、50–59、60–69、70–79
Classes must run from small to large, not overlap, leave no gaps, and take in all the data from 49 to 75: 40–49, 50–59, 60–69, 70–79.
12. A. 20–29、30–39、40–49、50–59
Classes must run from small to large, not overlap, leave no gaps, and take in all the data from 22 to 53: 20–29, 30–39, 40–49, 50–59.

Marking: 2 for the working, 1 for the answer, 1 for the sentence.

13. 9
Of the five classes from 30 kg, the greatest frequency is 10, the least 1: 10 − 1 = 9.
14. 3, 6, 2, 4
Tally each into its class: 3, 6, 2, 4; check they add up to 15.
15. B. 40–44、45–49、50–54、55–59
Classes mustn't overlap or leave gaps, and must take in everything from 42 to 55: 40–44, 45–49, 50–54, 55–59, 5 whole numbers each.
16. 27, 18
40 or more: the classes from 40 on, 27; fewer than 40: 9. 27 − 9 = 18.
17. 7
Falling short is scoring under 40: add the classes before 40, 7 players.
18. True
23 made 70 or more; the team has 27, half of which is 13.5. Compare 23 with 13.5.

Numsprite · numsprite.com/en/worksheets/organising-data-and-statistical-charts/grouped-frequency-distribution-tables