Data and probability · Ages 12–13
Frequency tables worksheet
Part of: Organising data & statistical charts
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Frequency tables worksheet
Data and probability · Ages 12–13
Numsprite
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Name:Date:Score:／48
Write each answer in the space. For word problems, show your working and write a sentence answer.
Part A: Working out and filling in (2 marks each)
1.The table tallies the number of brothers and sisters each player in a team has (the left column is that number). How many have 1?
Answer:
2.The table tallies a team's goals in each match (the left column is the number of goals). The numbers of matches with 0, 1, 2 and 3 goals are , , and .
Fill in each blank
Answer:
3.The table shows how many books each member of a book club read in a week (the left column is the number of books, the right the number of members). How many members are in the club?
Answer:
4.The table is a frequency table of the number of brothers and sisters of a team of 31 (the left column is that number, the right the number of players). What is the '?' in the table?
Answer:
5.The table shows how many books each member of a book club read in a week (the left column is books, the right members). How many read at least 2 books?
Answer:
6.The table is a frequency table of the number of brothers and sisters of a team of 32 (the left column is that number, the right the number of players). What is the '?' in the table?
Answer:
7.The table shows how many books each member of a book club read in a week (the left column is books, the right members). How many books did the club read altogether?
Answer:
8.Tsz-hin asks 25 families how many televisions they have (the left column is televisions, the right families). What percentage of the families have at least 2?
Answer:
9.Ka-yan asks 20 families how many televisions they have (the left column is televisions, the right families). What percentage of the families have at least 2?
Answer:
Part B: Choose, or true or false (2 marks each)
10.The table shows a team's goals in each match (the left column is the number of goals, the right the number of matches). Which number of goals comes up most often?
- A. 0
- B. 1
- C. 3
- D. 2
Choose the right answer
Answer:
11.The table shows how many books each member of a book club read in a week (the left column is books, the right members). More than half the club read at least 3 books.
True or false?
Answer:
12.The table shows how many books each member of a book club read in a week (the left column is books, the right members). More than half the club read at least 2 books.
True or false?
Answer:
Part C: Word problems (4 marks each)
13.Ka-lok rolls a dice 15 times and gets: 4, 3, 3, 3, 4, 3, 6, 4, 1, 4, 3, 5, 1, 5, 4. A 6 came up times, and an odd number times.
Fill in each blank
Working:
Answer:
14.The table shows how many books each of a club of 25 read in a week (the left column is books, the right members). members read at least 2 books, which is % of the club.
Fill in each blank
Working:
Answer:
15.The table shows how many books each member of a book club read in a week (the left column is books, the right members). Tsz-hin says, 'There are 7 more members who read 3 or more than who read none.' Tsz-hin is right.
True or false?
Working:
Answer:
16.The table tallies how many books each member of a book club read in a week (the left column is books). Then 4 more members hand in records, all of them 2 books. The frequency of 2 becomes , and the club's total .
Fill in each blank
Working:
Answer:
17.Tsz-ching asks some families how many televisions they have (the left column is televisions, the right families). How many more families have at least 2 than have none?
Working:
Answer:
18.These are the numbers of pets at home for 16 players in May's team: 3, 2, 3, 2, 0, 0, 3, 1, 0, 1, 1, 3, 0, 2, 0, 0. In a frequency table, the numbers of players with 0, 1, 2 and 3 pets are , , and .
Fill in each blank
Working:
Answer:
Show the answers and working
Frequency tables worksheet: Answers and working
Part A: Working out and filling in
1. 4
Count the tally: four upright and one across make 5. The row for 1 has 4 marks: 4 people.
2. 6, 12, 12, 4
Each four-and-a-bar is 5; then count what is left: 6, 12, 12, 4.
3. 27
The frequencies add up to the number of members: 2 + 2 + 7 + 12 + 4 = 27.
4. 1
The frequencies add up to 31, and the others add up to 30: 31 − 30 = 1.
5. 20
'At least 2' means 2, 3 or 4: 6 + 7 + 7 = 20. The 5 who read none and the 9 who read 1 are left out.
6. 10
The frequencies add up to 32, and the others add up to 22: 32 − 22 = 10.
7. 49
Multiply each value by its frequency and add: 0 × 8 + 1 × 5 + 2 × 11 + 3 × 6 + 4 × 1 = 49.
8. 48%
At least 2: 1 + 11 = 12 families; 12 ÷ 25 × 100% = 48%.
9. 15%
At least 2: 1 + 2 = 3 families; 3 ÷ 20 × 100% = 15%.
Part B: Choose, or true or false
10. A. 0
Look for the greatest frequency: 0 goals, in 12 matches, the most.
11. False
14 read at least 3; the club has 40, half of which is 20. Compare 14 with 20.
12. True
18 read at least 2; the club has 25, half of which is 12.5. Compare 18 with 12.5.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 1, 9
Count the 6s: 1; the odd numbers are 1, 3 and 5, and counting those: 9.
14. 9, 36
At least 2: 4 + 2 + 3 = 9; 9 ÷ 25 × 100% = 36%.
15. True
3 or more: 5 + 6 = 11; none: 4 (the 12 with 1 and 12 with 2 don't count). 11 − 4 = 7.
16. 10, 31
6 read 2 books, and 4 more: 6 + 4 = 10. The club had 3 + 4 + 6 + 10 + 4, plus 4: 31.
17. 13
At least 2: 4 + 11 = 15; none: 2 (the 4 with just 1 don't count). 15 − 2 = 13.
18. 6, 3, 3, 4
Tally each value on its row and count: 6, 3, 3, 4. Check: 6 + 3 + 3 + 4 = 16.
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