Drawing Histograms Worksheet

Name:

Date:

🎯 WALT: We Are Learning To draw and interpret histograms from datasets

Success Criteria:
✓ Choose appropriate bin widths for data
✓ Plot frequency correctly on histograms
✓ Interpret histogram shapes and patterns

📊 How to Draw a Histogram - Step by Step

Step 1: Organise your data and choose bin widths

Step 2: Create a frequency table

Step 3: Draw axes with appropriate scales

Step 4: Plot bars with no gaps between them

Step 5: Add title and labels

1. The heights (in cm) of 20 Year 11 students are recorded below:

155, 162, 158, 171, 169, 164, 157, 173, 166, 160, 168, 159, 165, 170, 163, 161, 167, 156, 172, 174

Complete the frequency table using bins of width 5cm:

Height (cm) | Frequency
155-159 | _____
160-164 | _____
165-169 | _____
170-174 | _____
Total | _____

✏️ Drawing and Analysis

2. Using your frequency table from Question 1, draw a histogram in the space below:

3. Describe the shape of your histogram:

Symmetrical

Skewed left

Skewed right

Uniform

4. Differentiation Support: Which bin width would be most appropriate for the following dataset of 50 test scores (0-100)?

Bin width of 2 (creating 50 bins)

Bin width of 10 (creating 10 bins)

Bin width of 25 (creating 4 bins)

Bin width of 50 (creating 2 bins)

5. Explain why choosing an appropriate bin width is important when drawing histograms:

🚀 Extension Activities

6. Advanced Challenge: A histogram shows the daily temperatures (°C) in Melbourne over 30 days. The bins 15-19°C and 20-24°C each have a frequency of 8 days. What percentage of days had temperatures between 15-24°C?

7. Real-world Application: You are analysing the waiting times (in minutes) at a medical centre. The data shows: 0-4 mins (12 patients), 5-9 mins (18 patients), 10-14 mins (15 patients), 15-19 mins (8 patients), 20+ mins (3 patients).

a) Draw the histogram:

b) What recommendations would you make to the medical centre based on this data?

8. Dyslexia-Friendly Option: Circle the correct statements about histograms:

Bars touch each other

Shows continuous data

X-axis shows categories

Y-axis shows frequency

Bars have gaps between them