The mode is the value that appears most often, so for 3, 5, 5, 7, 10 the mode is 5, and this Year 8 sheet opens by identifying what repeats. The key also records a median answer of 7 and a range answer of 8.
Key Takeaways
The mode is the value that appears most often (Q1).
For 3, 5, 5, 7, 10 the mode is 5 (Q2).
The key records a median of 7 and a range of 8.
Section A: Multiple Choice Questions (1 Mark Each)
Choose the correct option for each question.
1.The mode of a set of data is...
(a) the middle value(b) the value that appears most often(c) the average of all the values(d) the difference between the largest and smallest values
2.What is the mode of 3, 5, 5, 7, 10?
(a) 3(b) 5(c) 7(d) 6
3.What is the mean of 4, 6, 8 and 10?
(a) 7(b) 8(c) 6(d) 9
4.What is the median of 2, 5, 8, 9, 12?
(a) 5(b) 9(c) 8(d) 7
5.What is the range of 3, 8, 12 and 20?
(a) 17(b) 15(c) 8(d) 20
6.A bar chart is most useful for...
(a) showing how data changes over time(b) comparing the sizes of different categories(c) showing parts of a whole(d) showing the spread of continuous data
Section B: Short Answer Type Questions (2 Marks Each)
Show all steps clearly.
7.Find the mode of 2, 4, 4, 4, 6, 8.
8.Find the mean of 5, 7, 9, 11.
9.Find the median of 3, 6, 9, 12, 15.
10.Find the range of 5, 12, 18, 25.
11.Find the median of 4, 7, 9, 10.
12.A pie chart represents a group of 60 students. One sector has an angle of 90°. How many students does this sector represent?
13.Find the mean of 2, 3, 5, 5, 10.
14.Explain the difference between a discrete and a continuous variable, and give one example of each.
Section C: Numericals & Word Problems (3 Marks Each)
Apply the concepts to solve the problems. Show all working.
15.The heights in cm of 5 students are 150, 155, 160, 160 and 165. Find the mean, the median, the mode and the range.
16.In a survey of 30 students, the favourite fruits were: apple 8, banana 12, orange 6, mango 4. What fraction of students chose banana, and what angle would banana take in a pie chart?
17.The mean of 4 numbers is 9. One of the numbers is 6. Find the sum of the other three numbers.
18.The temperatures during one week were 18°C, 21°C, 17°C, 24°C and 20°C. Find the mean temperature and the range.
19.A class of 20 students was asked how many books they read in a month. Four students read 1 book, 8 read 2 books, 5 read 3 books and 3 read 4 books. Find the mean number of books read.
20.A pie chart shows the favourite sports of 360 students. Football has an angle of 120°. How many students chose football?
Answer Key
1. b) the value that appears most often
2. b) 5
3. a) 7
4. c) 8
5. a) 17
6. b) comparing the sizes of different categories
7. Refer to solution guide.
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20. Refer to solution guide.
End of Worksheet
People Also Ask
What is the mode of a data set?
The value that appears most often, option (b) in this worksheet (Q1).
What is the mode of 3, 5, 5, 7, 10?
5, option (b) in this worksheet (Q2).
What are the median and range recorded in the key?
Median 7 and range 8.
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