From the Venn diagram, we can deduce the following:
• Number of participants with drowsiness only = 29
,
• Number of participants with anxiety only = 38
,
• Number of participants who had both = 83
,
• Number of participants who had none = 27
Now, let's answer the following questions.
• (a). How many of the participants had anxiety?
Using the diagram given, the number of participants who had anxiety will be:
Number of both + number of anxiety = 83 + 38 = 121
Therefore, 121 participants had anxiety.
• (b). How many participants had drowsiness or anxiety or both?
To find the number of participants who had drowsiness or anxiety or both, we have:
Drowsiness only + anxiety only + both = 29 + 38 + 83 = 150
Therefore, 150 participants had drowsiness or anxiety or both.
• (c). How many did not have both drowsiness and anxiety?
To find this number, subtract the total number from the number of people who had both.
We have:
Total number of people - number of people who had both = 177 - 83 = 94
Therefore, 94 participants did not have both drowsiness and anxiety.
ANSWER:
• (a). 121 participants
,
• (b). 150 participants
,
• (c). 94 participants