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.
- __________ What is the level of measurement?
- __________ Find the sample size n.
- __________ Find the minimum.
- __________ Find the maximum.
- __________ Find the range.
- __________ Find the mode.
- __________ Find the median.
- __________ Find the sample mean x.
- __________ Find the midrange.
- __________ Find the sample standard deviation sx.
- __________ Find the sample coefficient of variation CV.
- __________ If this data is to be divided into five bins, what is the width of a single bin?
- Determine the frequency and calculate the relative frequency using five bins (classes, intervals). Record your results in the table provided.
| Burger bin upper limits | Frequency F | Relative Frequency |
|---|
| | | |
| | | |
| | | |
| | | |
| | | |
| Sums: | | |
- Sketch a frequency histogram of the data, labeling your horizontal axis and vertical axis as appropriate. Use the back of this sheet if necessary.
- __________ What is the shape of the histogram?
- z = __________ Use the formula z = (x - x)/sx to find the z-score for a night on which 25 burgers were sold.
- _________________ Is 25 burgers in one night an ordinary number of burgers or an unusual number of burgers?
- __________ 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?
- __________ For the seasons data, what is the best measure of the middle?
- __________ 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.