The ages of 20 dancers who responded to a call to audition for a musical comedy are listed in the box below. Use the raw data set to answer the listed questions.

19 21 23 35 17 19 21 17 27 25

18 19 20 25 26 25 17 25 26 22

1. Rank the data from the lowest to the highest value.
2. Compute the mean, \[\overline{x}\] .
3. Compute the median.
4. Compute the mode.
5. The range is:
6. The IQR is:
7. Use \[s=\sqrt{\frac{n\sum{{{x}^{2}}}-{{(\sum{x})}^{2}}}{n(n-1)}}\] to compute the standard deviation
8. Compute the variance, s ²
9. If you were to draw a bar graph of the data, how many bars would be on the graph? Why?
10. If you were to draw a pie chart of the data, the values19, 27, and 35 would represent what total percent of the chart?
11. Find Q ₂ for the data.
12. What is the 30 ^th percentile?
13. Would you use the Empirical Rule or Chebyshev’s Theorem to describe the distribution of this data? Explain your choice.
14. What percent of the data of the ages of the dancers set is within one standard deviations of the mean?
15. If you were to group the data into classes using the interval 17 to 21 as the first class how many data would be in the third class?

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Solution: The downloadable solution consists of 5 pages, 444 words.
Deliverable: Word Document