Solving Statistics Questions
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1. In 1798, Henry Cavendish measured the density of the earth using an instrument called a torsion balance. While the density is obviously not uniform, the value of the mean density is important in determining the earth's composition. The units are grams/cm3.
a. Calculate the mean of the data.
b. Calculate the standard deviation of the data set for Density of the Earth.
Density of the Earth
5.5 5.57 5.42 5.61 5.53 5.47 4.88 5.62 5.63 4.07 5.29 5.34
5.26 5.44 5.46 5.55 5.34 5.3 5.36 5.79 5.75 5.29 5.1 5.86
5.58 5.27 5.85 5.65 5.39
2. A shopping center was curious about where their customers were shopping. They took a survey of customers entering the mall at a side entrance.
a. Find the mode of this data.
b. Are there any other meaningful calculations that can be performed on this data?
Where do people shop?
Store Shoppers
Bargainville's 26
Shop City 19
Morgan's 18
Whiskey River 13
Foosie's 12
Wiese's 12
Stermer's 7
Cleo's 5
Binzer's 2
Cheatham's 2
England's 1
3. Fifty randomly selected voters were asked to rank the performance of their city government from 1 to 5 (5 being the best).
a. Determine the median value of the responses.
b. Describe the pattern of responses given by voters.
c. Determine if the median value is an accurate representation of the voters' opinions about the performance of city government.
Ranking Government
2 1 3 4 4
2 2 4 4 5
2 3 2 3 5
2 3 3 4 4
2 2 3 4 5
3 3 3 2 4
1 3 3 3 4
3 1 3 4 5
3 3 3 2 4
2 2 3 3 4
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