Cambridge · IGCSE Maths 0580

Cambridge IGCSE Maths: Statistics — Practice Questions & Answers

Q: Find the mode of the data set $3,7,7,2,9,7,5$.

$7$. The mode is the value that appears most often. $7$ occurs three times, more than any other value.

Q: Find the range of the data set $12,5,8,20,11$.

$15$. The range is largest minus smallest: $20-5=15$.

Q: Find the median of the data set $4,9,2,7,6$.

$6$. Order the data: $2,4,6,7,9$. The middle value is $6$.

Q: Find the mean of the data set $4,7,7,10$.

$7$. The mean is $\\frac{4+7+7+10}{4}=\\frac{28}{4}=7$.

Q: In a pictogram, one symbol represents $5$ cars. A row shows $4$ symbols. How many cars does that row represent?

$20$. Each symbol is $5$ cars, so $4\\times 5=20$ cars.

Q: A pie chart shows $40$ students. The sector for football is $90^{\\circ}$. How many students chose football?

$10$. The fraction is $\\frac{90}{360}=\\frac{1}{4}$, so $\\frac{1}{4}\\times 40=10$ students.

Q: Which type of data is the colour of a car?

Qualitative. Colour is described by words, not numbers, so it is qualitative (categorical) data.

Q: On a scatter diagram, as one variable increases the other decreases. What type of correlation is this?

Negative correlation. When one quantity increases as the other decreases, the correlation is negative.

Q: Find the median of the data set $8,3,11,6,2,9$.

$7$. Order: $2,3,6,8,9,11$. With six values the median is the mean of the two middle ones: $\\frac{6+8}{2}=7$.

Q: A frequency table lists value $2$ with frequency $3$, value $5$ with frequency $2$, and value $8$ with frequency $5$. Find the mean.

$5.6$. The mean is $\\frac{2\\times 3+5\\times 2+8\\times 5}{3+2+5}=\\frac{6+10+40}{10}=\\frac{56}{10}=5.6$.

A complete guide to IGCSE 0580 Statistics: collecting and classifying data, calculating mean, median, mode and range from lists and frequency tables, estimating the mean and modal class for grouped data, drawing and reading bar charts, pie charts, pictograms and stem-and-leaf diagrams, interpreting scatter diagrams and correlation, building cumulative frequency curves to find the median, quartiles and interquartile range, drawing box plots, and constructing histograms with frequency density.

122 practice questions available for this topic — here are 10 with full answers and explanations.

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Practice questions with answers

1 Multiple choice · Easy

Find the mode of the data set $3,7,7,2,9,7,5$.

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2 Multiple choice · Easy

Find the range of the data set $12,5,8,20,11$.

$15$
$20$
$25$
$8$

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3 Multiple choice · Easy

Find the median of the data set $4,9,2,7,6$.

$6$
$7$
$2$
$5.6$

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4 Multiple choice · Easy

Find the mean of the data set $4,7,7,10$.

$7$
$7.5$
$6$
$28$

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5 Multiple choice · Easy

In a pictogram, one symbol represents $5$ cars. A row shows $4$ symbols. How many cars does that row represent?

$20$
$4$
$9$
$25$

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6 Multiple choice · Easy

A pie chart shows $40$ students. The sector for football is $90^{\\circ}$. How many students chose football?

$10$
$90$
$4$
$20$

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7 Multiple choice · Easy

Which type of data is the colour of a car?

Qualitative
Quantitative discrete
Quantitative continuous
Continuous

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8 Multiple choice · Easy

On a scatter diagram, as one variable increases the other decreases. What type of correlation is this?

Negative correlation
Positive correlation
No correlation
Zero range

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9 Multiple choice · Medium

Find the median of the data set $8,3,11,6,2,9$.

$7$
$6$
$8$
$6.5$

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10 Multiple choice · Medium

A frequency table lists value $2$ with frequency $3$, value $5$ with frequency $2$, and value $8$ with frequency $5$. Find the mean.

$5.6$
$5$
$15$
$3.3$

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Key terms in Statistics

Statistics: The collection, organisation, analysis, and interpretation of data.

Data: Information collected for analysis, often as numbers or categories.

Discrete data: Data that can only take particular separate values, usually counts.

Continuous data: Data that can take any value within a range, usually measurements.

Qualitative data: Data describing categories or qualities rather than numbers.

Quantitative data: Numerical data that can be measured or counted.

Population: The entire group from which data may be collected.

Sample: A subset of a population chosen for study.

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Cambridge IGCSE Maths: Statistics — Practice Questions & Answers

Practice questions with answers

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Key terms in Statistics

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