Question

In: Statistics and Probability

Listed below are the amounts? (dollars) it costs for marriage proposal packages at different baseball stadiums....

Listed below are the amounts? (dollars) it costs for marriage proposal packages at different baseball stadiums. Find the? range, variance, and standard deviation for the given sample data. Include appropriate units in the results. Are there any? outliers, and are they likely to have much of an effect on the measures of ?variation?

38,50,50,55,55,95,95,130,180,213,250,350,450,1750,3000

Solutions

Expert Solution

The range is:

Consider the following table:

38 -412.73 170346.0529
50 -400.73 160584.5329
50 -400.73 160584.5329
55 -395.73 156602.2329
55 -395.73 156602.2329
95 -355.73 126543.8329
95 -355.73 126543.8329
130 -320.73 102867.7329
180 -270.73 73294.7329
213 -237.73 56515.5529
250 -200.73 40292.5329
350 -100.73 10146.5329
450 -0.73 0.5329
1750 1299.27 1688102.533
3000 2549.27 6498777.533
Sum: 6761 9527804.9335

The sample mean is:

The sample variance is:

The sample standard deviation is:

Yes, there are two outliers 1750 and 3000 and they are likely to have much of an effect on the measures of variation.


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