Let's solve each question step by step using the bar graphs provided.
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1) Gabby’s Survey on Favorite Film Types
Bar Graph:
- Action: 4
- Comedy: 7
- Romance: 3
- Drama: 1
- Sci-fi: 9
#### a. Which type of film do most people like?
Look for the tallest bar.
-
Sci-fi has the highest frequency (9).
✔ Answer: Sci-fi
#### b. Which type of film is least popular?
Look for the shortest bar.
-
Drama has the lowest frequency (1).
✔ Answer: Drama
#### c. How many people like Romance?
Find the height of the Romance bar.
- The bar reaches up to
3.
✔ Answer: 3
#### d. How many people did Gabby ask in total?
Add all frequencies:
- Action: 4
- Comedy: 7
- Romance: 3
- Drama: 1
- Sci-fi: 9
Total = 4 + 7 + 3 + 1 + 9 =
24
✔ Answer: 24
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2) Tyler’s Survey on Family Members
Bar Graph:
- 1–2 family members: 6
- 3–4 family members: 14
- 5–6 family members: 18
- 7–8 family members: 4
#### a. How many people had 5–6 family members living at home?
The bar for 5–6 reaches
18.
✔ Answer: 18
#### b. How many people had less than 5 family members living at home?
Less than 5 means:
- 1–2: 6
- 3–4: 14
Total = 6 + 14 =
20
✔ Answer: 20
#### c. Which class interval had the greatest frequency?
Look for the tallest bar →
5–6 with 18.
✔ Answer: 5–6
#### d. How many people did Tyler ask in total?
Add all frequencies:
- 1–2: 6
- 3–4: 14
- 5–6: 18
- 7–8: 4
Total = 6 + 14 + 18 + 4 =
42
✔ Answer: 42
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3) Shoe Size of Year 8 Students
Bar Graph:
- Size 5: 25
- Size 5.5: 20
- Size 6: 45
- Size 6.5: 30
- Size 7: 60
#### a. Which shoe size is the mode?
Mode = most frequent value →
Size 7 (60 students)
✔ Answer: Size 7
#### b. How many more students wear size 7 than wear size 5?
Size 7: 60
Size 5: 25
Difference = 60 - 25 =
35
✔ Answer: 35
#### c. What is the range in shoe sizes?
Range = Maximum – Minimum
Max = 7, Min = 5
Range = 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) =
200
Students with size 7 = 60
Fraction = 60 / 200 =
3/10
✔ Answer: 3/10
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✔ Final Answers:
####
Question 1:
a. Sci-fi
b. Drama
c. 3
d. 24
####
Question 2:
a. 18
b. 20
c. 5–6
d. 42
####
Question 3:
a. Size 7
b. 35
c. 2
d. 3/10
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Parent Tip: Review the logic above to help your child master the concept of interpreting graphs and charts worksheet.