The following frequency distributions show the heights (in cm) of students in two…
MATHEMATICS · Multi-part · A Level · Mathematics · Data presentation and interpretation · Data presentation and interpretation
Problem
The following frequency distributions show the heights (in cm) of students in two different schools, P and Q.
School P
150–155 : 3
155–160 : 7
160–165 : 12
165–170 : 10
170–175 : 5
School Q
150–155 : 2
155–160 : 6
160–165 : 8
165–170 : 14
170–175 : 7
Using the class mid-points, answer the following.
(i) Calculate the mean height for each school.
(ii) Calculate the standard deviation of heights for each school (correct to one decimal place).
(iii) Which school has a more uniform height distribution? Support your answer with the calculations obtained.