Data and charts · Ages 10–11
Choosing the mean, median or mode worksheet
Part of: Mode, median and range
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Choosing the mean, median or mode 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.Data: 24, 22, 6, 22, 25, 22. One value is far away from the others: an outlier. What is the outlier?
Answer:
2.Data: 34, 39, 36, 81, 33, 39. One value is far away from the others: an outlier. What is the outlier?
Answer:
3.Data: 107, 27, 30, 23, 28. The mean is and the median is .
Fill in each blank
Answer:
4.Data: 25, 33, 24, 64, 29. The mean is and the median is .
Fill in each blank
Answer:
Part B: Choose, or true or false (2 marks each)
5.39 friends choose their favourite mooncake: lotus seed 15, red bean 12, mixed nuts 12. To say which flavour is the most popular, which should you use?
- A. The mode
- B. The median
- C. The range
- D. The mean
Choose the right answer
Answer:
6.31 friends choose their favourite mooncake: lotus seed 12, red bean 7, mixed nuts 12. To say which flavour is the most popular, which should you use?
- A. The mean
- B. The mode
- C. The median
- D. The range
Choose the right answer
Answer:
7.Data: 39, 31, 72, 34, 36. The mean is greater than the median.
True or false?
Answer:
8.4 children bring 10, 3, 13 and 15 sweets and want to share them all out equally. To know how many each gets, which should you work out?
- A. The median
- B. The range
- C. The mode
- D. The mean
Choose the right answer
Answer:
9.5 friends' pocket money for a week ($): 25, 18, 108, 22, 24. To describe what a typical friend gets, which is best?
- A. The median
- B. The mode
- C. The mean
- D. The range
Choose the right answer
Answer:
10.5 friends' pocket money for a week ($): 29, 187, 24, 32, 28. To describe what a typical friend gets, which is best?
- A. The range
- B. The mean
- C. The median
- D. The mode
Choose the right answer
Answer:
11.Data: 39, 30, 5, 33, 36. The mean is greater than the median.
True or false?
Answer:
12.4 children bring 11, 6, 15 and 14 sweets and want to share them all out equally. To know how many each gets, which should you work out?
- A. The median
- B. The mean
- C. The mode
- D. The range
Choose the right answer
Answer:
Part C: Word problems (4 marks each)
13.How long 5 tables waited for a seat at a cha chaan teng (minutes): 18, 23, 15, 62, 22. How many minutes more than the median is the mean?
Working:
Answer:
14.The shoe sizes Ka-yan's family shop sold last week: 36, 34, 43, 44, 34, 40, 34, 44. To decide which size to order more of, which should the owner look at?
- A. The mean
- B. The mode
- C. The range
- D. The median
Choose the right answer
Working:
Answer:
15.A small shop opens 6 days a week; its customers each day: 147, 29, 179, 135, 175, 164. On one day Typhoon Signal No. 8 was up and very few came. Leaving that day out, what is the mean number of customers a day?
Working:
Answer:
16.Ka-lok times the MTR ride to Grandma's on 5 days (minutes): 37, 90, 35, 37, 36. On one day a typhoon held the trains up for a long time. To say how long the ride usually takes, which is best?
- A. The mode
- B. The mean
- C. The median
- D. The range
Choose the right answer
Working:
Answer:
17.The shoe sizes Tsz-hin's family shop sold last week: 33, 40, 35, 38, 40, 37, 40, 38. To decide which size to order more of, which should the owner look at?
- A. The median
- B. The mode
- C. The range
- D. The mean
Choose the right answer
Working:
Answer:
18.Tsz-ching times the MTR ride to Grandma's on 5 days (minutes): 29, 33, 28, 117, 30. On one day a typhoon held the trains up for a long time. To say how long the ride usually takes, which is best?
- A. The mean
- B. The range
- C. The median
- D. The mode
Choose the right answer
Working:
Answer:
Show the answers and working
Choosing the mean, median or mode worksheet: Answers and working
Part A: Working out and filling in
1. 6
Sort them first and see which value is unusually far from the rest.
The others all lie from 22 to 25; only 6 is far from them: 6 is the outlier.
2. 81
Sort them first and see which value is unusually far from the rest.
The others all lie from 33 to 39; only 81 is far from them: 81 is the outlier.
3. 43, 28
Mean: add all the values, then divide by how many there are. For the median, sort first.
Mean = 215 ÷ 5 = 43; sorted, the middle is 28. The outlier 107 pulls the mean up.
4. 35, 29
Mean: add all the values, then divide by how many there are. For the median, sort first.
Mean = 175 ÷ 5 = 35; sorted, the middle is 29. The outlier 64 pulls the mean up.
Part B: Choose, or true or false
5. A. The mode
Is a flavour a number or a category? Can categories have a mean?
Flavours are categorical: only the mode works, the one most people chose.
6. B. The mode
Is a flavour a number or a category? Can categories have a mean?
Flavours are categorical: only the mode works, the one most people chose.
7. True
Find the outlier first: is it far above or far below the rest? Which way does it pull the mean?
The outlier 72 pulls the mean towards it, while the median only looks at the middle.
8. D. The mean
Sharing all the sweets equally is the total divided by the number of children. Which one is that?
Sharing equally is the total divided by the number of people: exactly the mean.
9. A. The median
See whether one value is unusually big. How does it affect the mean? Which one isn't pulled up by it?
108 is an outlier. The median looks only at the middle value, 24, so it isn't dragged up: it describes a typical friend best.
10. C. The median
See whether one value is unusually big. How does it affect the mean? Which one isn't pulled up by it?
187 is an outlier. The median looks only at the middle value, 29, so it isn't dragged up: it describes a typical friend best.
11. False
Find the outlier first: is it far above or far below the rest? Which way does it pull the mean?
The outlier 5 pulls the mean towards it, while the median only looks at the middle.
12. B. The mean
Sharing all the sweets equally is the total divided by the number of children. Which one is that?
Sharing equally is the total divided by the number of people: exactly the mean.
Part C: Word problems
Marking: 2 for the working, 1 for the answer, 1 for the sentence.
13. 6 minutes
Find the mean (total ÷ 5) and the median (the middle once sorted) separately, then take one from the other.
Mean 140 ÷ 5 = 28, median 22: 28 − 22 = 6. The outlier 62 pulls the mean up.
14. B. The mode
The owner wants the size most people bought. Which one is the value seen most often?
The size most people bought is the mode: size 34.
15. 160 customers
Find the day with very few customers, leave it out, then find the mean of the other days.
29 is the typhoon day; leave it out: the other 5 days total 800, and 800 ÷ 5 = 160.
16. C. The median
The typhoon day's time is unusually long. How does it affect the mean? Which one isn't affected?
90 minutes is an outlier; the median, 37 minutes, isn't affected by it and best shows a usual day.
17. B. The mode
The owner wants the size most people bought. Which one is the value seen most often?
The size most people bought is the mode: size 40.
18. C. The median
The typhoon day's time is unusually long. How does it affect the mean? Which one isn't affected?
117 minutes is an outlier; the median, 30 minutes, isn't affected by it and best shows a usual day.
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