Home / iGCSE Mathematics (0580) – C9.3 Averages and range- Exam Style Questions Paper 3

iGCSE Mathematics (0580) - C9.3 Averages and range- Exam Style Questions Paper 3- New Syllabus

Question

A town has two cinemas, Movie Scene and Flix.
The table shows the mean and range of the audience numbers.

(a) Which cinema has higher audience numbers on average?
Give a reason for your choice.

(b) Which cinema has greater variation in its audience numbers?
Give a reason for your choice.

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

• C9.3 Averages and range
▶️ Answer/Explanation

(a)
To check the average, we look at the mean value. Flix has a mean of 105 compared to Movie Scene’s 83.
✅ Answer: Flix because it has a higher mean.

(b)
To check for variation or spread of numbers, we examine the range. Movie Scene has a range of 52, which is larger than Flix’s 25.
✅ Answer: Movie Scene because it has a higher range.

Question

Here is a list of numbers:

$17 \quad 4 \quad 25 \quad 18 \quad 14 \quad 6 \quad 3 \quad 18 \quad 12$

Find

(a) the mode

(b) the range.

Most-appropriate topic codes (Cambridge IGCSE Mathematics 0580):

• C9.3 Averages and range
▶️ Answer/Explanation

(a)
The mode is the most frequently occurring value in the dataset. The number $18$ appears twice, more than any other number.
✅ Answer: $18$

(b)
The range is the difference between the maximum and minimum values.
Highest value = $25$, Lowest value = $3$.
Range = $25 – 3 = 22$.
✅ Answer: $22$

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