Free Collection of Histogram Worksheets for Students - Free Printable

Since I can't view or access images directly, I’ll help you solve the histogram problems based on your description of the image. Please provide the details of each histogram (e.g., bin ranges and frequencies), or describe what’s shown in the image so I can guide you through solving the questions.

However, based on the text visible in your message, here are the three histograms described:

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🔹 Histogram 1: Age Distribution of People Surveyed

- Title: "People were asked their age as they walked into a mall."
- X-axis: Age groups (0–20, 20–40, 40–60, 60–80)
- Y-axis: Frequency (number of people)

Let’s assume the bar heights (frequencies) are:
- 0–20: 5
- 20–40: 15
- 40–60: 20
- 60–80: 10

*(Note: These values are assumed for demonstration. Replace with actual values from your image.)*

#### Questions:
1. How many people were surveyed?
→ Add all frequencies:
$ 5 + 15 + 20 + 10 = 50 $
✔ Answer: 50 people

2. What percentage of people were under 20?
→ Under 20 = 5 people
$ \frac{5}{50} \times 100 = 10\% $
✔ Answer: 10%

3. What percentage of people were between 20–60?
→ 20–40: 15, 40–60: 20 → Total = 35
$ \frac{35}{50} \times 100 = 70\% $
✔ Answer: 70%

4. Estimate the mean age of people surveyed.
→ Use midpoint of each class × frequency:
- 0–20: midpoint = 10 → $ 10 \times 5 = 50 $
- 20–40: midpoint = 30 → $ 30 \times 15 = 450 $
- 40–60: midpoint = 50 → $ 50 \times 20 = 1000 $
- 60–80: midpoint = 70 → $ 70 \times 10 = 700 $

Total sum = $ 50 + 450 + 1000 + 700 = 2200 $
Total people = 50
Mean = $ \frac{2200}{50} = 44 $
✔ Answer: ~44 years

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🔹 Histogram 2: Car Age of Households

- Title: "Households were surveyed how their primary family vehicle is in years."
- X-axis: Car Age (0–2, 2–4, 4–6, 6–8, 8–10, 10–12)
- Y-axis: Frequency

Assume frequencies:
- 0–2: 10
- 2–4: 15
- 4–6: 20
- 6–8: 12
- 8–10: 8
- 10–12: 5

#### Questions:
6. How many households were surveyed?
→ $ 10 + 15 + 20 + 12 + 8 + 5 = 70 $
✔ Answer: 70 households

7. What percentage of households had cars less than 4 years old?
→ 0–2: 10, 2–4: 15 → Total = 25
$ \frac{25}{70} \times 100 \approx 35.7\% $
✔ Answer: ~35.7%

8. What percentage of households had cars 6 or more years old?
→ 6–8: 12, 8–10: 8, 10–12: 5 → Total = 25
$ \frac{25}{70} \times 100 \approx 35.7\% $
✔ Answer: ~35.7%

9. How many households have cars less than 8 years old?
→ 0–2: 10, 2–4: 15, 4–6: 20, 6–8: 12 → Total = 57
✔ Answer: 57 households

10. How many households have cars that are 4 years or less?
→ 0–2: 10, 2–4: 15 → Total = 25
✔ Answer: 25 households

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🔹 Histogram 3: Ms. West's Class Heights (in inches)

- Data: 60", 58", 63", 65", 72", 68", 74", 63", 68", 65", 66", 70"
- Task: Create a histogram

#### Step-by-step:
1. Sort the data:
58, 60, 63, 63, 65, 65, 66, 68, 68, 70, 72, 74

2. Choose bin width:
Let’s use 5-inch bins:
- 55–60
- 60–65
- 65–70
- 70–75

3. Count frequencies:
- 55–60: 58, 60 → 2
- 60–65: 63, 63, 65, 65 → 4
- 65–70: 66, 68, 68 → 3
- 70–75: 70, 72, 74 → 3

4. Draw histogram:
- X-axis: Height ranges (55–60, 60–65, etc.)
- Y-axis: Frequency (0 to 4)
- Bars: Heights 2, 4, 3, 3 respectively

✔ Histogram created.

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📌 Summary of Answers (Based on Assumed Values):

| Question | Answer |
|--------|--------|
| 1 | 50 people |
| 2 | 10% |
| 3 | 70% |
| 4 | ~44 years |
| 6 | 70 households |
| 7 | ~35.7% |
| 8 | ~35.7% |
| 9 | 57 households |
| 10 | 25 households |

> ⚠️ Important: If the actual bar heights or data differ in your image, please provide them so I can correct the answers accordingly.

Would you like me to generate a visual representation of any of these histograms or help you create one?