Construct a grouped frequency table with class intervals 0 – 5, 5 – 10 and so on for the following Marks obtained in maths (out of 50) by a group of students in an examination:
0, 5, 6, 7, 10, 12, 14, 15, 20, 22, 25, 26, 27, 8, 11, 17, 3, 6, 9, 17, 19, 21, 22, 29, 31, 35, 37, 40, 42, 45, 49, 4,50, 16, and 20
і) What is the range of the data?
іі) which group contains the maximum number of students
ііі) Determine the class size
іv) Construct a cumulative frequency table
Answers
Construction of grouped frequency table:
Class Frequency Cumulative frequency
0 - 5 3 3
5 - 10 6 9
10 - 15 4 13
15 - 20 5 18
20 - 25 5 23
25 - 30 4 27
30 - 35 1 28
35 - 40 2 30
40 - 45 2 32
45 - 50 2 34
50 - 55 1 35
(i) Range of the data = Highest value - lowest value
= 50 - 0
= 50
(ii) The groups which contain highest frequency are 15 - 20 and 20 - 25.
(ii) The class size is 5.
Answer:
Construction of grouped frequency table:
Class Frequency Cumulative frequency
0 - 5 3 3
5 - 10 6 9
10 - 15 4 13
15 - 20 5 18
20 - 25 5 23
25 - 30 4 27
30 - 35 1 28
35 - 40 2 30
40 - 45 2 32
45 - 50 2 34
50 - 55 1 35
(i) Range of the data = Highest value - lowest value
= 50 - 0
= 50
(ii) The groups which contain the highest frequency are 15 - 20 and 20 - 25.
(ii) The class size is 5.