Problem Analysis:
The task involves creating a pictograph based on survey data about people's favorite types of music and answering questions related to the data. Here’s how we can solve it step by step:
---
Step 1: Understand the Data
The survey results are as follows:
- Rock: 3750 people
- Pop: 3500 people
- Classic: 1000 people
- Country: 1500 people
- Jazz: 2000 people
The key for the pictograph is:
- Each smiley face (😊) represents 500 people.
---
Step 2: Create the Pictograph
We need to represent the number of people for each type of music using the key (1 smiley face = 500 people).
#### Calculations:
1.
Rock:
- 3750 people ÷ 500 = 7.5 smiley faces
- Represent as 7 full smiley faces and half a smiley face.
2.
Pop:
- 3500 people ÷ 500 = 7 smiley faces
- Represent as 7 full smiley faces.
3.
Classic:
- 1000 people ÷ 500 = 2 smiley faces
- Represent as 2 full smiley faces.
4.
Country:
- 1500 people ÷ 500 = 3 smiley faces
- Represent as 3 full smiley faces.
5.
Jazz:
- 2000 people ÷ 500 = 4 smiley faces
- Represent as 4 full smiley faces.
#### Pictograph Representation:
| Type of Music | Number of People | Pictograph |
|---------------|------------------|------------|
| Rock | 3750 | 😊😊😊😊😊😊😊½ |
| Pop | 3500 | 😊😊😊😊😊😊😊 |
| Classic | 1000 | 😊😊 |
| Country | 1500 | 😊😊😊 |
| Jazz | 2000 | 😊😊😊😊 |
---
Step 3: Answer the Questions
####
Question 1: How many more people were voted for 'pop' than 'country'?
- Number of people who voted for Pop: 3500
- Number of people who voted for Country: 1500
- Difference: \( 3500 - 1500 = 2000 \)
Answer: 2000 more people voted for 'pop' than 'country'.
####
Question 2: Which music is least popular?
- Compare the number of votes for each type of music:
- Rock: 3750
- Pop: 3500
- Classic: 1000
- Country: 1500
- Jazz: 2000
- The smallest number is 1000, which corresponds to Classic.
Answer: Classic is the least popular.
####
Question 3: How many were voted for neither 'pop' nor 'rock'?
- Total votes for Pop: 3500
- Total votes for Rock: 3750
- Total votes for all categories: \( 3750 + 3500 + 1000 + 1500 + 2000 = 11750 \)
- Votes for neither Pop nor Rock: \( 11750 - (3500 + 3750) = 11750 - 7250 = 4500 \)
Answer: 4500 people voted for neither 'pop' nor 'rock'.
####
Question 4: If 500 more people vote for 'pop', would pop music top the chart?
- Current votes for Pop: 3500
- Additional votes for Pop: 500
- New total votes for Pop: \( 3500 + 500 = 4000 \)
- Current votes for Rock: 3750
- Compare the new total for Pop (4000) with Rock (3750):
- 4000 > 3750
Answer: Yes, if 500 more people vote for 'pop', pop music would top the chart.
---
Final Answers:
1.
2000
2.
Classic
3.
4500
4.
Yes
\boxed{2000, \text{Classic}, 4500, \text{Yes}}
Parent Tip: Review the logic above to help your child master the concept of making pictographs worksheet.
