The data sets give the number of platinum albums for the five male artists and the five female artists in a country with the most platinum albums through a recent year. (Platinum albums sell one million units or more.) Complete parts (a) through (d) below.
[
egin{array}{|c|c|}
hline
ext{Artist} & ext{Platinum Albums} \
hline
ext{Artist 1} & 146 \
ext{Artist 2} & 102 \
ext{Artist 3} & 76 \
ext{Artist 4} & 71 \
ext{Artist 5} & 67 \
hline
end{array}
]
extbf{Female Artists with the most platinum albums}
[
egin{array}{|c|c|}
hline
ext{Artist} & ext{Platinum Albums} \
hline
ext{Artist 1} & 62 \
ext{Artist 2} & 60 \
ext{Artist 3} & 54 \
ext{Artist 4} & 54 \
ext{Artist 5} & 45 \
hline
end{array}
]
B. Male artists have the greater mean number of platinum albums because all of the data items for the men are greater than the greatest data item for the women.
C. Male artists have the greater mean number of platinum albums because all of the data items for the men are less than the greatest data item for the women.
D. Female artists have the greater mean number of platinum albums because all of the data items for the women are less than the greatest data item for the men.
b. Verify your conjecture from part (a) by calculating the mean number of platinum albums for each data set.
Mean (Male artists) = â—»
Mean (Female artists) = 55
(Round to two decimal places as needed.)
c. Without calculating, which data set has the greater standard deviation? Explain your answer.
A. Female artists have the greater standard deviation because there is a lower spread in the data for women.
B. Female artists have the greater standard deviation because there is a greater spread in the data for women.
C. Male artists have the greater standard deviation because there is a lower spread in the data for men.
D. Male artists have the greater standard deviation because there is a greater spread in the data for men.
d. Verify your conjecture from part (c) by calculating the standard deviation for each data set.
Standard deviation (Male artists) = â—»
Standard deviation (Female artists) = â—»
(Round to two decimal places as needed.)
The data sets give the number of platinum albums for the five male artists and the five female artists in a country with the most platinum albums through a recent year. (Platinum albums sell one million units or more. Complete parts a through d below.
Male Artists with the most platinum albums Artist Platinum Albums Artist 1 146 Artist 2 102 Artist 3 76 Artist 4 71 Artist 5 67
Female Artists with the most platinum albums Artist Platinum Albums Artist 1 62 Artist 2 60 Artist 3 54 Artist 4 54 Artist 5 45
B. Male artists have the greater mean number of platinum albums because all of the data items for the men are greater than the greatest data item for the women.
C. Male artists have the greater mean number of platinum albums because all of the data items for the men are less than the greatest data item for the women.
D. Female artists have the greater mean number of platinum albums because all of the data items for the women are less than the greatest data item for the men.
b. Verify your conjecture from part a by calculating the mean number of platinum albums for each data set
Mean(Male artists)=92.4 Mean(Female artists)=55 (Round to two decimal places as needed.)
c. Without calculating, which data set has the greater standard deviation? Explain your answer.
A. Female artists have the greater standard deviation because there is a lower spread in the data for women. B. Female artists have the greater standard deviation because there is a greater spread in the data for women C. Male artists have the greater standard deviation because there is a lower spread in the data for men. D. Male artists have the greater standard deviation because there is a greater spread in the data for men.
d. Verify your conjecture from part c by calculating the standard deviation for each data set. Standard deviationMale artists= Standard deviation(Female artists)= (Round to two decimal places as needed.)
