Question

a survey was conducted and asked people if they were right handed and whether they owned an iphone. the results are shown below
right handed iphone
14 8 5 7
a) there were total people surveyed.
b) the number of right handed people surveyed was
c) the number of people surveyed with an iphone is
d) the number of people surveyed that are right handed and have an iphone is
e) the number of people surveyed that have an iphone but are not right handed is
f) the number of people that are neither right - handed nor have an iphone is

Explanation:

Step1: Calculate total people surveyed

Add all the numbers in the Venn - diagram: \(14 + 8+5 + 7=34\)

Step2: Calculate number of right - handed people

Add the numbers in the right - handed circle: \(14 + 8 = 22\)

Step3: Calculate number of people with an iPhone

Add the numbers in the iPhone circle: \(8+5 = 13\)

Step4: Find number of right - handed and iPhone owners

The intersection of the two circles is 8.

Step5: Find number of iPhone owners but not right - handed

The part of the iPhone circle that does not overlap with the right - handed circle is 5.

Step6: Find number of neither right - handed nor iPhone owners

The number outside both circles is 7.

Answer:

a) 34
b) 22
c) 13
d) 8
e) 5
f) 7