Histograms Notes and Worksheets - Lindsay Bowden - Free Printable

Let's solve the problem step by step, starting with the histogram and then moving on to creating a new histogram from the given data.

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🔹 Part 1: Understanding the Histogram

The histogram shows Mrs. Smith’s Class Test Grades, grouped into grade ranges (bins), with frequency (number of students) on the y-axis.

#### First, fill in the definition:
> Histogram – a visual representation of data that uses bars to show the distribution of data into intervals called bins.

✔ So the completed sentence is:
> Histogram – a visual representation of data that uses bars to show the distribution of data into intervals called bins.

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🔸 Now answer the questions:

#### 1. How many students took the test?

We add up the frequencies of all the bars:

- 0–59: 2 students
- 60–69: 3 students
- 70–79: 6 students
- 80–89: 3 students
- 90–100: 4 students

Total = 2 + 3 + 6 + 3 + 4 = 18 students

✔ Answer: 18 students

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#### 2. How many students scored between 0 and 59?

This is the frequency for the 0–59 range.

✔ Answer: 2 students

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#### 3. How many students passed (70+)?

Passing means 70 or above → includes:
- 70–79: 6
- 80–89: 3
- 90–100: 4

Total = 6 + 3 + 4 = 13 students

✔ Answer: 13 students

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#### 4. What percentage of students scored 80 or higher?

Students who scored 80 or higher:
- 80–89: 3
- 90–100: 4
→ Total = 3 + 4 = 7 students

Total number of students = 18

Percentage = (7 / 18) × 100 ≈ 38.89%

✔ Answer: Approximately 38.9%

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🔸 Part 2: Create Your Own Histogram

Data: Minutes spent on homework last night
Values: 35, 10, 0, 60, 15, 25, 45, 15, 30, 20, 10, 25, 40

#### Step 1: Organize the data
List in ascending order:
0, 10, 10, 15, 15, 20, 25, 25, 30, 35, 40, 45, 60

Total = 13 students

#### Step 2: Choose intervals (bins)

We need to group these into meaningful ranges. Since the data ranges from 0 to 60, we can use intervals of 10 minutes:

- 0–9
- 10–19
- 20–29
- 30–39
- 40–49
- 50–59
- 60–69

Now count how many values fall in each bin:

| Interval | Data Points | Frequency |
|--------|-------------|----------|
| 0–9 | 0 | 1 |
| 10–19 | 10, 10, 15, 15 | 4 |
| 20–29 | 20, 25, 25 | 3 |
| 30–39 | 30, 35 | 2 |
| 40–49 | 40, 45 | 2 |
| 50–59 | none | 0 |
| 60–69 | 60 | 1 |

#### Step 3: Draw the histogram

We’ll sketch it here as a description since we can’t draw images.

Title: "Minutes Spent on Homework Last Night"

X-axis: Time intervals (0–9, 10–19, ..., 60–69)
Y-axis: Frequency (number of students) — max is 4

Bars:
- 0–9: height 1
- 10–19: height 4
- 20–29: height 3
- 30–39: height 2
- 40–49: height 2
- 50–59: height 0
- 60–69: height 1

All bars touch each other (as per histogram rules).

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✔ Final Answers Summary:

#### From the histogram:
1. 18 students took the test
2. 2 students scored between 0 and 59
3. 13 students passed (70+)
4. Approximately 38.9% scored 80 or higher

#### For the new histogram:
- Bins: 0–9, 10–19, 20–29, 30–39, 40–49, 50–59, 60–69
- Frequencies: 1, 4, 3, 2, 2, 0, 1
- Title: "Minutes Spent on Homework Last Night"
- Bars should be drawn accordingly, touching each other.

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Let me know if you'd like a printable version or a digital sketch!