How to Identify Statistical Questions

How to Identify Statistical Questions

Not every question is a statistical question, and knowing the difference is a foundational skill for the GED Math test. A statistical question expects a variety of answers and requires collecting and analyzing data to answer it. This lesson explains the key distinction and gives you plenty of examples to practice with.

Quick answer: A statistical question is one you answer by collecting data that you expect to vary. “How many hours do students in my class sleep on school nights?” is statistical, because each student may give a different number. “How many hours did I sleep last night?” is not, because it has one fixed answer.

Tutor-style math help

Identify Statistical Questions: what to notice and how to work it

Statistics skill
Statistics is about describing data honestly. A calculation is useful only when it helps explain center, spread, shape, or association.

What to notice first

Ask what the display is trying to show. Histograms show shape, box plots show spread by quartiles, and scatter plots show association.

Common student mistake

Do not report a number without context. A mean, median, IQR, or regression line should answer a question about the data.

Key formulas and cues

\(\text{mean}=\frac{\text{sum}}{\text{number of values}}\)
\(IQR=Q_3-Q_1\)
\(z=\frac{x-\mu}{\sigma}\)
\(\text{slope of best-fit line}=\frac{\text{change in prediction}}{\text{change in }x}\)
best fit

A reliable path

  1. Identify the questionDecide whether you need center, spread, shape, or association.
  2. Use the right displayChoose a histogram, box plot, scatter plot, or summary statistic.
  3. Write the meaningExplain what the statistic says about the data set.

Worked examples

Find IQR

Example: \(Q_1=8\), median \(=12\), \(Q_3=20\)
  1. IQR measures the middle 50%.
  2. Subtract Q1 from Q3.
  3. 20 – 8 = 12.
Answer: \(IQR=12\)

Read association

Example: A scatter plot rises from left to right.
  1. As x increases, y tends to increase.
  2. That is a positive association.
  3. A best-fit line should have positive slope.
Answer: Positive association
Try one before moving on
Try: Find the mean of 6, 8, and 10.
Answer: \(8\).
Next step: do the matching worksheet or quiz while the method is still fresh, then come back and explain the first step in your own words.

What Is a Statistical Question?

A statistical question is one that anticipates variability in the answers. That means you expect different responses from different people, places, or times, and you need to gather data to see the range of answers. A non-statistical question has exactly one definite answer, no data collection needed.

  • Statistical: “How many hours do students in your class sleep each night?”, Each student sleeps a different amount, so answers will vary.
  • Non-statistical: “How many students are in this classroom right now?”. There is one specific count at one moment in time.

How to Identify a Statistical Question

1. Check for variability

Ask yourself: “Would different people (or different times, or different objects) give different answers?” If yes, it is most likely a statistical question.

2. Check whether data collection is needed

Statistical questions require gathering multiple data points and often summarizing them with measures like mean, median, or a graph. Non-statistical questions can be answered with a single observation or look-up.

3. Watch for key signals

Words like typically, on average, usually, what are the heights of…, or how many hours do… usually… often signal statistical questions. Words like exactly, right now, or what is the… of this specific… often signal non-statistical questions.

Step-by-Step Summary

  1. Read the question carefully.
  2. Ask: “Is there one definite answer, or will answers vary?”
  3. If answers vary and data collection is required → Statistical.
  4. If one exact answer exists → Non-statistical.
  5. Double-check by thinking about whether measures like mean or median would be useful, if yes, it is statistical.

Watch: Statistical vs. Non-Statistical Questions (Khan Academy)

This Khan Academy video explains the concept clearly with relatable examples:


Worked Examples

Example 1: Is this a statistical question? “What is the temperature outside today?”

Non-statistical. At any given moment, the temperature is a single specific value. There is no variability in one reading.

Example 2: Is this a statistical question? “What are the heights of the players on a basketball team?”

Statistical. Each player has a different height. The question expects a set of varying values and would require collecting and comparing data.

Example 3: Is this a statistical question? “How many pages are in this textbook?”

Non-statistical. The textbook has a fixed page count, one exact answer.

Example 4: Is this a statistical question? “How many hours per week do adults in your neighborhood watch TV?”

Statistical. Different adults will report different amounts, so data collection and analysis (e.g., finding the average) are needed.

More Practice: Statistical Questions at the 6th-Grade Level

This focused Khan Academy lesson reinforces the concept with additional practice questions:


Exercises

Label each question S (statistical) or N (non-statistical).

  1. How many siblings does your teacher have?
  2. How many siblings do students in your class have?
  3. What is the boiling point of water at sea level?
  4. How long does it take commuters in a city to get to work?
  5. How many letters are in the word “statistics”?
  6. What are the speeds of cars passing through a school zone on a given morning?

Answers

  1. N, One exact answer for one specific person.
  2. S, Different students have different numbers of siblings; data varies.
  3. N, 100°C is a fixed scientific fact.
  4. S, Commute times vary from person to person.
  5. N, “Statistics” has exactly 10 letters.
  6. S, Car speeds vary; you need multiple observations to answer it.
Original price was: $27.99.Current price is: $17.99.

Statistical vs non-statistical questions: sorting table

Use one test for every question: would you expect different answers if you asked many people or took many measurements? If yes, it is statistical.

QuestionStatistical?Why
How tall is the school flagpole?NoOne fixed measurement
How tall are the 7th graders at our school?YesHeights vary from student to student
How many pets does Maya have?NoOne person, one answer
How many pets do families on our street have?YesCounts vary by family
What time does the bus leave?NoSet by a schedule
How long do students wait for the bus each morning?YesWait times change from day to day and student to student
How many days are in a week?NoAlways 7

How to turn a question into a statistical question

Many non-statistical questions become statistical when you widen them to a group or to many observations.

  1. Name the group: students in my class, games this season, days in March.
  2. Ask about a value that changes within that group.
  3. Make sure you would need to collect data to answer it.

For example, “How many points did Jordan score last night?” has one answer. “How many points did Jordan score per game this season?” asks about many games, so the answers vary and you can summarize them with a mean, median or a dot plot.

Frequently Asked Questions

What is a statistical question in math?

A statistical question is one you answer by collecting data that you expect to vary. “How many pets do the students in my class have?” is statistical because each student may give a different number. Students meet this idea in 6th grade, where the answers are then summarized with a mean, median, range or graph.

How do you identify a statistical question?

Ask two things: does answering it require collecting data from several people, objects or times, and will those answers be different from each other? If both are yes, it is statistical. “How tall are the trees in the park?” passes both tests. “How tall is the oak by the gate?” has one answer, so it does not.

What is the difference between statistical and non-statistical questions?

A non-statistical question has one fixed answer, such as “How many days are in March?” A statistical question expects many different answers that you gather as data, such as “How many days were students absent last month?” You can often turn one into the other by asking about a whole group instead of one person or thing.

Can a statistical question have one answer?

Not in the sense of one fixed fact. A statistical question collects many values that vary, although you may summarize them with one number, like an average. “What is the typical quiz score in your math class?” is statistical, because it depends on many students’ scores, even though the final summary might be a single median.

Is “How old are the adults in your neighborhood?” a statistical question?

Yes. To answer it you would need to ask many adults their ages, and those ages are expected to differ. That variability is what makes it statistical. By contrast, “How old is my neighbor Maria?” has a single answer and is not a statistical question.

Related Topics

Related to This Article

What people say about "What Is a Statistical Question? Definition and Examples"?

No one replied yet.

Leave a Reply