In: Statistics and Probability
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
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.