This deep dive covers Example Calculation within Histograms for GCSE Mathematics. Revise Histograms in Statistics for GCSE Mathematics with 14 exam-style questions and 12 flashcards. This is a high-frequency topic, so it is worth revising until the explanation feels precise and repeatable. It is section 6 of 10 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.
Example Calculation
| Age Range | Class Width | Frequency | Frequency Density |
|---|---|---|---|
| 0 ≤ a < 10 | 10 | 20 | 20 ÷ 10 = 2 |
| 10 ≤ a < 20 | 10 | 40 | 40 ÷ 10 = 4 |
| 20 ≤ a < 30 | 10 | 60 | 60 ÷ 10 = 6 |
| 30 ≤ a < 50 | 20 | 80 | 80 ÷ 20 = 4 |
Notice how the 30-50 group has highest frequency (80) but lower density (4) due to its wider class interval.
Practice questions for Histograms
A histogram shows the heights (cm) of plants in a garden with the following frequency densities: - 0 =< h < 5: frequency density = 4 - 5 =< h < 15: frequency density = 3 - 15 =< h < 25: frequency density = 6 - 25 =< h < 40: frequency density = 2 What is the modal class?
A histogram is drawn with unequal class widths. A student says: 'I can just use frequency on the y-axis instead of frequency density — the shape of the histogram will look the same.' Is the student correct? Explain your answer.