Statistical Questions and Data Display

Ask and answer statistical questions

Statistical questions and data display content

📚 Practice Problems

1Problem 1easy

❓ Question:

Which of these is a statistical question? A) How old is Mrs. Johnson? B) How old are the teachers at our school?

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A statistical question anticipates variability - different answers.

A) "How old is Mrs. Johnson?" - ONE specific answer (not statistical)

B) "How old are the teachers at our school?" - MULTIPLE different answers expected (statistical)

Answer: B is the statistical question

Key: Look for questions that will have a variety of responses!

2Problem 2easy

❓ Question:

Classify this data: favorite pizza toppings of students

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Pizza toppings are categories (pepperoni, cheese, vegetables, etc.), not numbers.

This is CATEGORICAL data because it describes qualities or categories.

Answer: Categorical data

3Problem 3medium

❓ Question:

Create a frequency table for this data: Favorite sports: Soccer, Basketball, Soccer, Baseball, Soccer, Basketball, Soccer, Baseball, Soccer

Then identify which sport is most popular.

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Frequency Table:

Sport | Frequency --------------|----------- Soccer | 5 Basketball | 2
Baseball | 2

Soccer appears 5 times, more than any other sport.

Answer: Soccer is the most popular sport (frequency = 5)

4Problem 4medium

❓ Question:

Which type of graph would be best for showing how a plant's height changes over 6 weeks? A) Bar graph B) Pie chart C) Line graph D) Histogram

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We need to show change over TIME.

Bar graph: Compares categories ✗ Pie chart: Shows parts of a whole ✗ Line graph: Shows change over time ✓ Histogram: Shows distribution of numerical data ✗

Answer: C) Line graph

Line graphs are perfect for showing trends over time!

5Problem 5hard

❓ Question:

A class survey asked: "How many pets do you have?" The responses were: 0, 2, 1, 3, 1, 0, 2, 1, 4, 1, 0, 2

Create a frequency table and identify: a) The most common number of pets b) How many students have 2 or more pets

💡 Show Solution

Frequency Table:

Number of Pets | Frequency ---------------|---------- 0 | 3 1 | 4 2 | 3 3 | 1 4 | 1

a) Most common: 1 pet (appears 4 times - highest frequency)

b) Students with 2+ pets:

  • 2 pets: 3 students
  • 3 pets: 1 student
  • 4 pets: 1 student Total: 3 + 1 + 1 = 5 students

Answers: a) 1 pet (mode) b) 5 students have 2 or more pets

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