A school records the daily time (in hours) that a group of students spent on the…

MATHEMATICS · Multi-part · GCSE · Mathematics · Statistics · Statistics

Problem

A school records the daily time (in hours) that a group of students spent on the internet during one week. The data are grouped into unequal class intervals before drawing a histogram. (i) What is meant by "frequency density" with reference to a grouped frequency distribution? (ii) Explain, with calculations, why the heights of the bars for the following two classes must differ even though the second class has a larger frequency. Class A: 0–10\text{–}1 h (12 students) Class B: 1–31\text{–}3 h (18 students)

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