This worksheet features three bar graph exercises designed to help students interpret data regarding film preferences, household size, and shoe sizes.

Here is the complete solution to all three problems based on the bar graphs provided.

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Problem 1: Gabby’s Film Survey

The bar chart shows the frequency (number of people) who prefer each film type.

- Action: Bar reaches 4 → 4 people
- Comedy: Bar reaches 7 → 7 people
- Romance: Bar reaches 3 → 3 people
- Drama: Bar reaches 1 → 1 person
- Sci-fi: Bar reaches 9 → 9 people

a. Which type of film do most people like?
→ The tallest bar is Sci-fi (9 people).
✔ Answer: Sci-fi

b. Which type of film is least popular?
→ The shortest bar is Drama (1 person).
✔ Answer: Drama

c. How many people like Romance?
→ The Romance bar reaches 3.
✔ Answer: 3

d. How many people did Gabby ask in total?
→ Add all frequencies: 4 (Action) + 7 (Comedy) + 3 (Romance) + 1 (Drama) + 9 (Sci-fi) = 24
✔ Answer: 24

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Problem 2: Tyler’s Family Size Survey

Bar chart shows how many people live with certain numbers of family members.

- 1–2 family members: Bar reaches 6 → 6 people
- 3–4 family members: Bar reaches 14 → 14 people
- 5–6 family members: Bar reaches 18 → 18 people
- 7–8 family members: Bar reaches 4 → 4 people

a. How many people had 5–6 family members living at home?
→ Bar for “5–6” is at 18.
✔ Answer: 18

b. How many people had less than 5 family members living at home?
→ Less than 5 means “1–2” and “3–4” categories.
→ 6 (1–2) + 14 (3–4) = 20
✔ Answer: 20

c. Which class interval had the greatest frequency?
→ Tallest bar is “5–6” with 18 people.
✔ Answer: 5–6

d. How many people did Tyler ask in total?
→ Add all frequencies: 6 + 14 + 18 + 4 = 42
✔ Answer: 42

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Problem 3: Shoe Sizes of Year 8 Students

This is a horizontal bar chart. The vertical axis shows shoe size, and the horizontal axis shows frequency (number of students).

Read the length of each bar:

- Size 5: Bar ends at 25 → 25 students
- Size 5.5: Bar ends at 20 → 20 students
- Size 6: Bar ends at 45 → 45 students
- Size 6.5: Bar ends at 30 → 30 students
- Size 7: Bar ends at 60 → 60 students

a. Which shoe size is the mode?
→ Mode = most frequent value → Size 7 (60 students)
✔ Answer: 7

b. How many more students wear size 7 than wear size 5?
→ Size 7: 60 students; Size 5: 25 students
→ Difference: 60 – 25 = 35
✔ Answer: 35

c. What is the range in shoe sizes?
→ Range = Highest value – Lowest value
→ Highest: 7; Lowest: 5 → 7 – 5 = 2
✔ Answer: 2

d. What fraction of students wear size 7?
→ First, find total number of students:
25 (size 5) + 20 (5.5) + 45 (6) + 30 (6.5) + 60 (7) = 180

→ Students wearing size 7: 60

→ Fraction = 60 / 180 = 1/3 (simplified)

✔ Answer: 1/3

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✔ Final Answers Summary:

1)
a. Sci-fi
b. Drama
c. 3
d. 24

2)
a. 18
b. 20
c. 5–6
d. 42

3)
a. 7
b. 35
c. 2
d. 1/3

Let me know if you’d like a visual explanation or step-by-step graph reading tips!