Statistics & Data Handling — Year 7 Practice Questions
10 marks · Suggested time: 20 minutes
Practise calculating averages and the range with these Year 7 questions. Put the data in order first where needed.
Questions
Find the mode of the data: 4, 7, 7, 2, 9, 7, 3.
Find the range of the data: 12, 5, 8, 20, 11.
Find the median of the data: 6, 2, 9, 4, 7.
Find the mean of the data: 3, 5, 5, 8, 4.
Find the median of the data: 10, 3, 7, 1 (an even number of values).
On a pictogram, one circle represents 4 books. How many books do 3½ circles represent?
Answers & Worked Solutions
Question 1 Solution
Step 1: The mode is the value that appears most often.
Step 2: 7 appears three times, so the mode is 7.
Answer: 7
Question 2 Solution
Step 1: Range = largest − smallest = 20 − 5.
Step 2: Range = 15.
Answer: 15
Question 3 Solution
Step 1: Put the data in order: 2, 4, 6, 7, 9.
Step 2: The middle value is 6.
Answer: 6
Question 4 Solution
Step 1: Total = 3 + 5 + 5 + 8 + 4 = 25.
Step 2: Mean = 25 ÷ 5 = 5.
Answer: 5
Question 5 Solution
Step 1: Order the data: 1, 3, 7, 10.
Step 2: The median is halfway between the two middle values, 3 and 7: (3 + 7) ÷ 2 = 5.
Answer: 5
Question 6 Solution
Step 1: Each circle = 4 books, so 3 circles = 12 books.
Step 2: Half a circle = 2 books, so total = 12 + 2 = 14 books.
Answer: 14 books
Frequently Asked Questions
What is the first thing to do when finding the median?
Always put the data in order from smallest to largest before you pick out the middle value.
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