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 (9)
✔ Answer: Sci-fi
#### b. Which type of film is least popular?
Look for the shortest bar →
Drama (1)
✔ Answer: Drama
#### c. How many people like Romance?
Read the height of the Romance bar →
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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2) Tyler’s Survey on Family Members at Home
Bar Graph:
- 1–2 family members: 6
- 3–4: 13
- 5–6: 18
- 7–8: 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 or 3–4:
6 (1–2) + 13 (3–4) =
19
✔ Answer: 19
#### c. Which class interval had the greatest frequency?
The tallest bar is
5–6, with frequency 18
✔ Answer: 5–6
#### d. How many people did Tyler ask in total?
Add all frequencies:
6 + 13 + 18 + 4 =
41
✔ Answer: 41
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3) Shoe Size of Year 8 Students
Bar Graph:
- Size 5: 25 students
- Size 5.5: 20 students
- Size 6: 45 students
- Size 6.5: 30 students
- Size 7: 60 students
#### a. Which shoe size is the mode?
Mode = most frequent value →
Size 7 has the highest bar (60)
✔ Answer: 7
#### b. How many more students wear size 7 than wear size 5?
60 (size 7) – 25 (size 5) =
35
✔ Answer: 35
#### c. What is the range in shoe sizes?
Range = largest – smallest
Largest shoe size = 7, Smallest = 5
7 – 5 =
2
✔ Answer: 2
#### d. What fraction of students wear size 7?
First, find total number of students:
25 (5) + 20 (5.5) + 45 (6) + 30 (6.5) + 60 (7) =
200
Number who wear size 7 = 60
Fraction = 60 / 200 =
3/10
✔ Answer: 3/10
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✔ Final Answers Summary:
####
Question 1:
a. Sci-fi
b. Drama
c. 3
d. 24
####
Question 2:
a. 18
b. 19
c. 5–6
d. 41
####
Question 3:
a. 7
b. 35
c. 2
d. 3/10
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of 6th grade graphing worksheet.