Data and charts · Ages 10–11

The mode 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.

Data and charts · Ages 10–11

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.

1.Data: 8, 18, 19, 9, 18, 18, 5. What is the mode?
Answer:
2.Data: 1, 11, 13, 11, 9. What is the mode?
Answer:
3.Data: 1, 12, 14, 12, 9. What is the mode?
Answer:
4.Data: 26, 2, 15, 28, 2, 25, 2, 28. What is the mode?
Answer:
5.Data: 20, 19, 24, 19, 3, 24, 1, 24. What is the mode?
Answer:
6.Data: 13, 19, 9, 10, 13, 9. One more value is added, and now there is exactly one mode. The value added is greater than 10. What is it?
Answer:

13.Ka-lok's family shoe shop sold 8 pairs of trainers today, in sizes 36, 40, 44, 36, 33, 36, 34, 44. The owner wants more of the size most people bought. Which size is it?
Working:
Answer:
14.A basketball team's three-pointers in each of 8 matches: 3, 14, 7, 15, 7, 11, 3, 4. The data have two modes: the smaller is and the larger is .
Fill in each blank
Working:
Answer:
15.Ka-yee records a skipping score each day: 32 has come up 1 times and 35 3 times, the most; every other score only once. At least how many more times must Ka-yee score 32 for 32 to become the only mode?
Working:
Answer:
16.Ka-yee rolls a dice 27 times: a 1 2 times, a 2 8 times, a 3 9 times, a 4 2 times, a 5 2 times and a 6 4 times. What is the mode of the scores?
Working:
Answer:
17.A basketball team's three-pointers in each of 8 matches: 9, 5, 14, 1, 14, 8, 9, 11. The data have two modes: the smaller is and the larger is .
Fill in each blank
Working:
Answer:
18.Ka-yan rolls a dice 33 times: a 1 8 times, a 2 2 times, a 3 2 times, a 4 5 times, a 5 9 times and a 6 7 times. What is the mode of the scores?
Working:
Answer:

Show the answers and working

The mode worksheet: Answers and working

1. 18
The mode is the value seen most often. Count how many times each value appears.
18 appears 3 times and every other value once: 18, seen most often, is the mode.
2. 11
The mode is the value seen most often. Which value appears more than once?
11 appears twice and every other value once: 11, seen most often, is the mode.
3. 12
The mode is the value seen most often. Which value appears more than once?
12 appears twice and every other value once: 12, seen most often, is the mode.
4. 2
Sort the data first so equal values sit together, then count each one.
Sort and count: 2 appears 3 times, 28 twice, the rest once. The most is 2.
5. 24
Sort the data first so equal values sit together, then count each one.
Sort and count: 24 appears 3 times, 19 twice, the rest once. The most is 24.
6. 13
Count each value first. Which two appear equally often? Adding which one makes a single mode?
9 and 13 each appear twice. Adding one of them makes it appear 3 times, the only mode; the one greater than 10 is 13.

7. C. 1
Sort and count each value. More than one may tie for the most, or none may stand out.
Sort and count each value: every value tied for the most is a mode; if each appears once, there is no mode.
8. D. Tsuen Wan Line
For categories, the mode is the one with the most people. Compare the numbers for each line.
For categories, the mode is the one with the most: compare 8, 9, 5 and 4 and take the biggest.
9. True
Count how many times each value appears, then see whether 18 is the one seen most.
18 appears 3 times, 20 twice and the rest once: the mode is 18.
10. A. Kwun Tong Line
For categories, the mode is the one with the most people. Compare the numbers for each line.
For categories, the mode is the one with the most: compare 9, 7, 8 and 3 and take the biggest.
11. D. 2
Sort and count each value. More than one may tie for the most, or none may stand out.
Sort and count each value: every value tied for the most is a mode; if each appears once, there is no mode.
12. False
Count how many times each value appears, then see whether 9 is the one seen most.
22 appears 3 times, 9 twice and the rest once: the mode is 22.

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

13. 36
The size most people bought is the mode. Count how many pairs of each size were sold.
Most bought means the mode: size 36 sold 3 pairs, more than any other.
14. 3, 7
Count how many times each value appears and find the two that come up most.
3 and 7 each appear twice and the rest once: both are modes.
15. 3 times
32 has to appear more often than 35: at least how many times? It has 1 so far.
32 must beat 35's 3, so it needs at least 4: 4 − 1 = 3 more.
16. 3
The mode is the score that came up most. Find the biggest count first, then see which score it belongs to.
A 3 came up 9 times, the most: the mode is the score 3, not how many times.
17. 9, 14
Count how many times each value appears and find the two that come up most.
9 and 14 each appear twice and the rest once: both are modes.
18. 5
The mode is the score that came up most. Find the biggest count first, then see which score it belongs to.
A 5 came up 9 times, the most: the mode is the score 5, not how many times.

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