Ryan measured the heights of 87 randomly selected boys at his school

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

Problem

Ryan measured the heights of 87 randomly selected boys at his school. His results are summarised alongside.
Height ( hh cm)Frequency
140≤h<150140 \le h < 1501
150≤h<160150 \le h < 16013
160≤h<170160 \le h < 17040
170≤h<180170 \le h < 18030
180≤h<190180 \le h < 1903
Total87
(1) Calculate the relative frequency of each class interval. (2) What percentage of boys measured between 160 cm and 180 cm? (3) Construct a histogram to display the data. (4) Identify the modal class. (5) Describe the distribution of the data.

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