Data and charts · Ages 10–11
The range worksheet
Part of: Mode, median and range
In the print window, choose “Save as PDF” to download it. The answers print on the last page.
The range worksheet
Data and charts · Ages 10–11
Numsprite
numsprite.com
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.Some data in order, smallest first: 4, 7, 16, 19. What is the range?
Answer:
2.Data: 20, 33, 18, 28, 26, 16. What is the range?
Answer:
3.Data: 29, 43, 23, 43, 34, 15. What is the range?
Answer:
4.Some data in order, smallest first: 18, 27, 28, 31. What is the range?
Answer:
5.Tsz-hin swims 50 m five times; the times (seconds) are 39.1, 41.8, 37.6, 42.8, 40.3. What is the range of the times in seconds?
Answer:
6.Tsz-hin swims 50 m five times; the times (seconds) are 42.1, 44, 39.3, 43.1, 40.8. What is the range of the times in seconds?
Answer:
7.Data: 38, 30, 45 and , where is greater than the other three. The range is 19. What is ?
Answer:
8.Data: 28, 29, 24 and , where is greater than the other three. The range is 11. What is ?
Answer:
Part B: Choose, or true or false (2 marks each)
9.Data: 32, 44, 28, 39, 33, 23. The range is 21.
True or false?
Answer:
10.Set A: 16, 10, 20, 13, 14. Set B: 41, 30, 45, 34, 37. Which set is more spread out?
- A. Set B
- B. Equally spread
- C. Set A
- D. Can't tell
Choose the right answer
Answer:
11.Data: 33, 49, 26, 42, 36, 26. The range is 75.
True or false?
Answer:
12.Set A: 32, 40, 23, 38, 29. Set B: 23, 30, 17, 35, 27. Which set is more spread out?
- A. Equally spread
- B. Set B
- C. Can't tell
- D. Set A
Choose the right answer
Answer:
Part C: Word problems (4 marks each)
13.London's highest temperature each day for a winter week (°C): 4, 7, 3, 9, 4, 7, 3. What is the range of these temperatures in °C?
Working:
Answer:
14.Chi-keung's points in 5 basketball games: 21, 22, 15, 25, 22; Tsz-hin's points in 5 games: 28, 21, 28, 15, 26. The one with the smaller range is more consistent. What is the more consistent player's range?
Working:
Answer:
15.6 friends' long jumps (cm): 234, 201, 178, 210, 186, 223. A 7th friend jumps 248 cm, further than all the others. The range before is cm and after is cm.
Fill in each blank
Working:
Answer:
16.The range of 21 friends' heights is 16 cm, and the tallest is 151 cm. How tall is the shortest, in cm?
Working:
Answer:
17.The range of 15 friends' heights is 15 cm, and the tallest is 146 cm. How tall is the shortest, in cm?
Working:
Answer:
18.6 friends' long jumps (cm): 174, 188, 166, 183, 175, 160. A 7th friend jumps 216 cm, further than all the others. The range before is cm and after is cm.
Fill in each blank
Working:
Answer:
Show the answers and working
The range worksheet: Answers and working
Part A: Working out and filling in
1. 15
Range = largest − smallest. In order, where are the largest and the smallest?
The largest is 19 and the smallest 4: range = 19 − 4 = 15.
2. 17
Range = largest − smallest. Find the largest and smallest values first.
The largest is 33 and the smallest 16: range = 33 − 16 = 17.
3. 28
Range = largest − smallest. Find the largest and smallest values first.
The largest is 43 and the smallest 15: range = 43 − 15 = 28.
4. 13
Range = largest − smallest. In order, where are the largest and the smallest?
The largest is 31 and the smallest 18: range = 31 − 18 = 13.
5. 5.2 s
Range = slowest − fastest. Find the biggest and smallest times first.
Slowest 42.8 s, fastest 37.6 s: 42.8 − 37.6 = 5.2 s.
6. 4.7 s
Range = slowest − fastest. Find the biggest and smallest times first.
Slowest 44 s, fastest 39.3 s: 44 − 39.3 = 4.7 s.
7. 49
□ is the largest. Find the smallest value first, then think: □ is 19 more than it.
□ is the largest and 30 the smallest: □ − 30 = 19, so □ = 30 + 19 = 49.
8. 35
□ is the largest. Find the smallest value first, then think: □ is 11 more than it.
□ is the largest and 24 the smallest: □ − 24 = 11, so □ = 24 + 11 = 35.
Part B: Choose, or true or false
9. True
Range = largest − smallest. Find them, work it out, then compare with 21.
Range = largest − smallest = 44 − 23 = 21.
10. A. Set B
Find each set's range, largest minus smallest. The bigger range is more spread out.
Set A's range is 20 − 10 = 10, Set B's 45 − 30 = 15: the bigger range is more spread out.
11. False
Range = largest − smallest. Find them, work it out, then compare with 75.
Range = largest − smallest = 49 − 26 = 23.
12. B. Set B
Find each set's range, largest minus smallest. The bigger range is more spread out.
Set A's range is 40 − 23 = 17, Set B's 35 − 17 = 18: the bigger range is more spread out.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 6°C
Range = highest − lowest. Find the warmest and coldest days first.
Warmest 9 °C, coldest 3 °C: 9 − 3 = 6 °C.
14. 10 points
Find each player's range, highest minus lowest, then take the smaller one.
Chi-keung's range is 25 − 15 = 10, Tsz-hin's 28 − 15 = 13; the smaller is 10.
15. 56, 70
Before: find the largest and smallest. After: 248 is the largest. Has the smallest changed?
Before: 234 − 178 = 56. 248 becomes the largest, so after: 248 − 178 = 70.
16. 135 cm
Range = tallest − shortest. You know the tallest, 151 cm, and the range, 16 cm, so work backwards.
Range = tallest − shortest, so shortest = 151 − 16 = 135 cm.
17. 131 cm
Range = tallest − shortest. You know the tallest, 146 cm, and the range, 15 cm, so work backwards.
Range = tallest − shortest, so shortest = 146 − 15 = 131 cm.
18. 28, 56
Before: find the largest and smallest. After: 216 is the largest. Has the smallest changed?
Before: 188 − 160 = 28. 216 becomes the largest, so after: 216 − 160 = 56.
Numsprite · numsprite.com/en/worksheets/mode-median-and-range/range
Practise it in the gameThe range · Unlimited questions, no download