Worksheet titled "Reading Bar Graphs (C)" featuring three bar charts with questions about interpreting data on favorite films, family size, and student shoe sizes.

Here is the solution to the problems presented in the "Reading Bar Graphs (C)" worksheet.

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Problem 1: Gabby's Film Survey

Gabby surveyed her class about their favorite film types and created a bar chart. The vertical axis (Frequency) shows how many people chose each genre.

- Action: Bar height = 4
- Comedy: Bar height = 7
- Romance: Bar height = 3
- Drama: Bar height = 1
- Sci-fi: Bar height = 9

a. Which type of film do most people like?
The tallest bar represents the most popular choice.
→ Sci-fi (9 people)

b. Which type of film is least popular?
The shortest bar represents the least popular choice.
→ Drama (1 person)

c. How many people like Romance?
Look at the height of the "Romance" bar.
→ 3 people

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

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Problem 2: Tyler’s Family Size Survey

Tyler surveyed how many family members people live with. The horizontal axis shows ranges of family sizes, and the vertical axis shows frequency.

- 1 - 2 members: Bar height = 6
- 3 - 4 members: Bar height = 14
- 5 - 6 members: Bar height = 18
- 7 - 8 members: Bar height = 4

a. How many people had 5 - 6 family members living at home?
Look at the bar labeled “5 - 6”.
→ 18 people

b. How many people had less than 5 family members living at home?
This includes the groups “1 - 2” and “3 - 4”.
6 (1-2) + 14 (3-4) = 20 people

c. Which class interval had the greatest frequency?
The tallest bar is “5 - 6”.
→ 5 - 6

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

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Problem 3: Year 8 Students’ Shoe Sizes

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

- Size 5: Bar length = 25 students
- Size 5.5: Bar length = 20 students
- Size 6: Bar length = 45 students
- Size 6.5: Bar length = 30 students
- Size 7: Bar length = 60 students

a. Which shoe size is the mode?
The mode is the most frequent value — the longest bar.
→ Size 7 (60 students)

b. How many more students wear size 7 than wear size 5?
Subtract the frequency of size 5 from size 7:
60 (size 7) - 25 (size 5) = 35 more students

c. What is the range in shoe sizes?
Range = Highest value - Lowest value
7.0 - 5.0 = 2.0

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

Fraction wearing size 7 = 60 / 180

Simplify the fraction:
60 ÷ 60 = 1
180 ÷ 60 = 3
→ 1/3

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✔ Final Answers:

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. 2.0
d. 1/3