StatisticsDeep Dive

Example Calculation

Part of Histograms — GCSE Mathematics

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 9 in this topic. Use this deep dive to connect the idea to the wider topic before moving on to questions and flashcards.

Topic position

Section 6 of 9

Practice

14 questions

Recall

12 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. 0 =< h < 5
B. 5 =< h < 15
C. 15 =< h < 25
D. 25 =< h < 40

1 markstandard

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.

2 marksstandard

Quick Recall Flashcards

What is the modal class in a histogram?

The modal class is the class interval with the highest frequency density. It is the class represented by the tallest bar on the histogram. Note: If class widths are equal, the modal class also has the highest frequency.

What is a histogram?

A histogram is a statistical diagram used to display grouped continuous data. Key features: - Bars touch (no gaps) - y-axis shows frequency density - Area of each bar = frequency for that class

Example Calculation

Example Calculation

Keep building this topic

Practice Questions for Histograms

Quick Recall Flashcards

Want to test your knowledge?