Given a frequency table of a survey asking school children whether they are attending a summer camp, taking swimming lessons, or both.
Summer Plans
Camp No Camp Total
Swimming Lessons 42 32 74
No Swimming Lessons 18 4 22
Total 60 36 96
The relative frequency table is obtained from the frequency table by dividing each entry of the frequency table by the overall total of the frequency table.
The relative frequency table of the above frequency tale is given below.
Summer Plans (Relative Frequency)
Camp No Camp Total
Swimming
Lessons 42/96 = 0.44 = 44% 32/96 = 0.33 = 33% 74/96 = 0.77 = 77%
No Swimming
Lessons 18/96 = 0.19 = 19% 4/96 = 0.04 = 4% 22/96 = 0.23 = 23%
Total 60/96 = 0.63 = 63% 36/96 = 0.37 = 37% 96/96 = 1.0 = 100%
Therefore, the joint relative frequency for school children who plan to attend camp and have swimming lessons is 44%