### MS 150 Statistics spring 2007 test one • Name:

Angie's
burgers
15
12
7
23
17
25
12
14
15
5
9
12
18
16
16
8
7
18
14
17

The number of burgers served per night over the course of twenty nights on the right is based on an informal conversation at a local restaurant. Like many shows on television, these numbers are based on real statistics but the individual numbers are completely fictional.

1. __________ What is the level of measurement?
2. __________ Find the sample size n.
3. __________ Find the minimum.
4. __________ Find the maximum.
5. __________ Find the range.
6. __________ Find the mode.
7. __________ Find the median.
8. __________ Find the sample mean x.
9. __________ Find the midrange.
10. __________ Find the sample standard deviation sx.
11. __________ Find the sample coefficient of variation CV.
12. __________ If this data is to be divided into five bins, what is the width of a single bin?
13. Determine the frequency and calculate the relative frequency using five bins (classes, intervals). Record your results in the table provided.
Burger bin upper limitsFrequency FRelative Frequency

Sums:
14. Sketch a frequency histogram of the data, labeling your horizontal axis and vertical axis as appropriate. Use the back of this sheet if necessary.
15. __________ What is the shape of the histogram?
16. z = __________ Use the formula z = (x - x)/sx to find the z-score for a night on which 25 burgers were sold.
17. _________________ Is 25 burgers in one night an ordinary number of burgers or an unusual number of burgers?

18. __________ A data set consists of the names of the seasons: winter, fall, spring, summer, nanrek (breadfruit), nanisol (scarcity), nanpar (tradewind), puhlan pacl ohu (cold), tuhka (dry), puhlan pack fol (hot), uwam maii (breadfruit), uwan puna (taro), licheg (calm air & seas). What level of measurement is this data?
19. __________ For the seasons data, what is the best measure of the middle?
20. __________ For the seasons data, what is the value of that measure of the middle?

[Unmarked research question] What are the seasons of your culture - give the season and meaning of the season name, if any.