Data and charts · Ages 10–11

Grouped frequency worksheet

Part of: Mode, median and range

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Data and charts · Ages 10–11

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

1.Data: 13, 34, 14, 23, 49, 15, 45, 39, 16, 30. Grouped in tens, how many values are in the group 30–39?
Answer:
2.The frequency diagram shows some children's heights (cm). How many are 120–129 cm tall?
Answer:
3.The frequency diagram shows some children's heights (cm). How many are 160–169 cm tall?
Answer:
4.Data: 18, 49, 21, 43, 36, 39, 11, 11, 26, 43. Grouped in tens, how many values are in the group 20–29?
Answer:
5.The frequency diagram shows some children's heights (cm). How many children were measured?
Answer:
6.The frequency diagram shows some children's heights (cm). How many are 150 cm or taller?
Answer:
7.The frequency diagram shows some children's heights (cm). How many are 160 cm or taller?
Answer:
8.Group these data to fill in a frequency table: 23, 29, 28, 45, 45, 32, 30, 20, 45, 33, 25, 23. 20–29: , 30–39: , 40–49: .
Fill in each blank
Answer:
9.Group these data to fill in a frequency table: 35, 33, 26, 32, 43, 49, 48, 33, 38, 20, 44, 49. 20–29: , 30–39: , 40–49: .
Fill in each blank
Answer:

13.How long 10 friends took to finish a jigsaw (minutes): 13, 23, 23, 21, 14, 29, 17, 23, 17, 12. The times are put in groups of 5 minutes. How many took less than 15 minutes?
Working:
Answer:
14.A theme-park ride is only for those 140 cm or taller. The frequency diagram shows a group of children's heights (cm). How many of them can't go on?
Working:
Answer:
15.A cha chaan teng records how long 12 customers spent eating (minutes): 45, 28, 36, 44, 49, 21, 34, 28, 39, 29, 31, 32. 20–29 minutes: people, 30–39 minutes: , 40–49 minutes: .
Fill in each blank
Working:
Answer:
16.The frequency diagram shows the heights of a dance troupe's members (cm). How many more are 110–119 cm than 140–149 cm?
Working:
Answer:
17.How long 10 friends took to finish a jigsaw (minutes): 27, 24, 26, 11, 25, 17, 17, 19, 28, 29. The times are put in groups of 5 minutes. How many took less than 15 minutes?
Working:
Answer:
18.A cha chaan teng records how long 12 customers spent eating (minutes): 20, 43, 39, 49, 45, 37, 24, 21, 41, 27, 30, 36. 20–29 minutes: people, 30–39 minutes: , 40–49 minutes: .
Fill in each blank
Working:
Answer:

Show the answers and working

Grouped frequency worksheet: Answers and working

1. 3
Go through them one by one and count those from 30 to 39, both ends included.
Go through them one by one: 3 values lie from 30 to 39, both included.
2. 10
Find the 120–129 bar and read where its top meets the side scale.
Read the 120–129 bar: its top is level with 10, so 10 children.
3. 6
Find the 160–169 bar and read where its top meets the side scale.
Read the 160–169 bar: its top is level with 6, so 6 children.
4. 2
Go through them one by one and count those from 20 to 29, both ends included.
Go through them one by one: 2 values lie from 20 to 29, both included.
5. 27
Each bar's height is that group's number of children. Add the groups' frequencies.
Add the groups' frequencies: 9 + 8 + 7 + 3 = 27.
6. 7
Which groups are 150 cm or taller? Add up their frequencies.
150 cm or taller means the groups from 150 up: add their frequencies, 7.
7. 3
Which groups are 160 cm or taller? Add up their frequencies.
160 cm or taller means the groups from 160 up: add their frequencies, 3.
8. 6, 3, 3
Tally each value into its group, then check the three groups add up to the number of values.
Tally them one by one: 20–29 has 6, 30–39 3, 40–49 3; together 12.
9. 2, 5, 5
Tally each value into its group, then check the three groups add up to the number of values.
Tally them one by one: 20–29 has 2, 30–39 5, 40–49 5; together 12.

10. False
The group 50–59 runs from 50 to 59, both included. Is 60 in that range?
The group 50–59 runs from 50 to 59, both included; anything below 50 or above 59 is in another group.
11. False
The group 50–59 runs from 50 to 59, both included. Is 49 in that range?
The group 50–59 runs from 50 to 59, both included; anything below 50 or above 59 is in another group.
12. C. 160–169 cm
See which bar is tallest.
The tallest bar is the group with the most children.

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

13. 3 friends
Go through them and count those less than 15; 15 itself doesn't count.
Less than 15 minutes means the groups before 15, not 15 itself: 3 friends.
14. 2 children
Those who can't go on are under 140 cm. Add the frequencies of the groups below 140.
Below 140 cm means the groups under 140: add their frequencies, 2.
15. 4, 5, 3
Tally each value into its group, then check the three groups add up to 12.
Tally each into its group: 4, 5, 3, adding up to 12.
16. 4 people
Read the heights of the 110–119 and 140–149 bars, then find the difference.
The 110–119 group has 5, the 140–149 group 1: 5 − 1 = 4.
17. 1 friend
Go through them and count those less than 15; 15 itself doesn't count.
Less than 15 minutes means the groups before 15, not 15 itself: 1 friends.
18. 4, 4, 4
Tally each value into its group, then check the three groups add up to 12.
Tally each into its group: 4, 4, 4, adding up to 12.

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