Statistics Practice Questions
Practice questions covering all aspects of statistics from the Cambridge IGCSE Mathematics 0580 syllabus.
Questions
Read the bar chart: how many students scored 7?
Find the mean of 5, 8, 3, 6, 8
Find the median of 2, 5, 1, 8, 3, 7
Complete the frequency table if total is 30 and four groups have 5, 8, 7, 4
Find the mode of: 3, 5, 2, 5, 3, 5, 1
Find the range of: 4, 9, 2, 7, 1
The ages of five children are: 8, 10, 12, 9, 11. Find the mean age.
The scores in a test are: 14, 18, 12, 20, 15, 18, 16. Find (a) the median, (b) the mode.
The pictogram shows the number of books sold each day. Monday: 4 symbols, Tuesday: 6 symbols, Wednesday: 3 symbols. Each symbol represents 5 books. Find the total books sold over the three days.
A pie chart shows transport choices of 120 students. The angle for 'Bus' is 90°. How many students travel by bus?
The stem-and-leaf diagram shows test scores. Stems: 4 | leaves: 2 5 8; 5 | leaves: 1 3 6 9; 6 | leaves: 0 4. Find the range.
A scatter diagram shows a strong positive correlation between hours studied and test score. Describe what this correlation means in context.
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Question 1 Solution
Answer: Depends on chart — read the height
Question 2 Solution
Answer: 6
Question 3 Solution
Answer: 4
Question 4 Solution
Answer: 6
Question 5 Solution
Answer: 5
Question 6 Solution
Answer: 8
Question 7 Solution
Step 1: Sum = 8 + 10 + 12 + 9 + 11 = 50
Step 2: Mean = 50 ÷ 5 = 10
Answer: 10 years
Question 8 Solution
Step 1: Ordered: 12, 14, 15, 16, 18, 18, 20
Step 2: (a) Median = middle value = 16
Step 3: (b) Mode = 18 (appears twice)
Answer: (a) 16 (b) 18
Question 9 Solution
Step 1: Monday: 4 × 5 = 20
Step 2: Tuesday: 6 × 5 = 30
Step 3: Wednesday: 3 × 5 = 15
Step 4: Total = 20 + 30 + 15 = 65
Answer: 65 books
Question 10 Solution
Step 1: Fraction of circle = 90/360 = 1/4
Step 2: Number of students = 1/4 × 120 = 30
Answer: 30 students
Question 11 Solution
Step 1: Lowest value = 42, Highest value = 64
Step 2: Range = 64 − 42 = 22
Answer: 22
Question 12 Solution
Step 1: Positive correlation means: as hours studied increases, test score also tends to increase.
Step 2: Strong correlation means the points lie close to a straight line of best fit.
Answer: As hours studied increases, test score tends to increase. The relationship is strong (points close to the line of best fit).
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