Practice Statistical Question in Statistics

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

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Quick Recap

A statistical question is a question that anticipates variability in answers — it cannot be answered with a single fixed number because different data points will give different responses. It requires collecting data from multiple sources to answer.

'How old is my teacher?' has ONE answer - not statistical. 'How old are teachers at my school?' will have DIFFERENT answers for each teacher - that's statistical! The key: do you expect variation?

Showing a random 20 of 50 problems.

Example 1

medium
A teacher writes 8 prompts; the statistical fraction is 34\frac{3}{4}. How many statistical prompts are there?

Example 2

hard
A class lists 50 questions; 25\frac{2}{5} are statistical and the rest are not. How many are NOT statistical?

Example 3

medium
From a list of 4 questions, 3 anticipate variability and 1 has a single fixed answer. What fraction are statistical? Give as a simplified fraction.

Example 4

easy
Is 'How many legs does a spider have?' statistical? Answer 1 for yes, 0 for no.

Example 5

medium
A teacher writes 10 questions; 6 are statistical. How many are NOT statistical?

Example 6

easy
Is 'How tall is the principal?' a statistical question? Answer 1 for yes, 0 for no.

Example 7

challenge
Each statistical question collects 5 responses; each non-statistical question collects 1. With 4 statistical and 6 non-statistical questions, how many responses total?

Example 8

easy
Is 'How many pets do students in grade 5 own?' statistical? Answer 1 for yes, 0 for no.

Example 9

easy
Is 'What time does our school start each day?' statistical? Answer 1 for yes, 0 for no.

Example 10

easy
Is 'How many minutes did each 4th grader spend on homework last night?' statistical? Answer 1 for yes, 0 for no.

Example 11

easy
Is 'How long are the shoes of the kids in grade 4?' statistical? Answer 1 for yes, 0 for no.

Example 12

medium
Of 25 questions, 40% are statistical. How many statistical questions are there?

Example 13

easy
Is 'How tall are the students in my class?' statistical? Answer 1 for yes, 0 for no.

Example 14

hard
A teacher labels 24 questions. The ratio of statistical to non-statistical is 5:35:3. How many are statistical?

Example 15

medium
Among questions Q1..Q5, the statistical ones are Q1, Q3, Q4. If each correct identification is worth 2 points, how many points for identifying all statistical ones?

Example 16

hard
A student asks: 'Do students who eat breakfast perform better on tests?' (a) Is this a statistical question? (b) What kind of data would need to be collected? (c) What type of study would be appropriate — observational or experimental?

Example 17

easy
Which of the following is a statistical question? (a) How old is the headteacher? (b) How old are the students in Year 6? (c) What day is it today?

Example 18

medium
Rewriting 'How old is my dog?' to be statistical gives 'How old are the dogs at the shelter?'. If the shelter has 8 dogs, how many answers will the statistical version produce?

Example 19

medium
Rewrite each non-statistical question to make it statistical: (a) 'How many pages does this book have?' (b) 'What is the temperature right now?'

Example 20

medium
A survey of 30 kids asks 'How many pets do you have?' If 10 say 0, 12 say 1, and 8 say 2, how many total data values were collected?
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