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1 answer:
Answer: a) The customers surveyed purchased only mysteries =12
b) The customers purchased mysteries and science fiction, but not romance novels=10
c) The customers purchased mysteries or science fiction=46
d) The customers purchased mysteries or science fiction, but not romance novels=44
e) The customers purchased exactly two types of books=21
Step-by-step explanation:
Given: n(S)=57
n(M)=33
n(S)=25
n(R)=18
n(M∩S)=12
n(R∩M)=9
n(S∩R)=6
n(R∩S∩M)=2
From the Venn diagram,
d=2
n(M∩S)=a+d=12
⇒a=10
n(R∩M)=b+d=9
⇒b=7
n(S∩R)=c+d=6
⇒c=4
Now, the customers surveyed purchased only mysteries=n(M)-a-b-d=33-10-7-4=12
The customers purchased mysteries and science fiction, but not romance novels=a=10
The customers purchased mysteries or science fiction=n(M∪S)=n(M)+n(S)-n(M∩S)=33+25-12=46
The customers purchased mysteries or science fiction, but not romance novels=n(M∪S)-d=46-2=44
The customers purchased exactly two types of books= a+b+c=10+7+4=21
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*See attached picture showing the dot plots referred to
Answer:
16mm
Step-by-step Explanation:
Given the dot plot showing rainfall for Highlands storms, we can find out the median rainfall for Highlands storms by mere observing the dot plot and locating where the middle value falls within the data set that is represented on the dot plot.
Thus, we have 44 data sets that is being represented on the plot, with one dot representing one data set for rainfall. This means, since the total number of data set is even, our median lies between the 22nd and the 23rd dot or data set that is being plotted.
From the dot plot for Highlands, the 22nd and 23rd dots are 16 and 16 respectively.
Therefore, median rainfall for Highland storms = (16 + 16) ÷ 2 = 16.
