MS 150 Statistics prequiz spring 2006 • Name:

The colors (hues) of the rainbow were analyzed using a system of color angles where red has hue angle of 0°, green has a hue angle of 120°, and blue has a hue angle of 240°. The measurement of hues found in an actual rainbow are shown in the right-hand column in the table seen on the right side of this page. Use this hue angle data to perform the following calculations. Data sheet

1. _________ What level of measurement is the hue angle data?
2. _________ Determine the sample size n.
3. _________ Calculate the sample mean x.
4. _________ Determine the median.
5. _________ Determine the mode.
6. _________ Determine the minimum.
7. _________ Determine the maximum.
8. _________ Calculate the range.
9. _________ Calculate the sample standard deviation sx.
10. _________ Calculate the sample Coefficient of Variation.
11. _________ Determine the class width. Use 6 bins (classes or intervals)
12. Fill in the following table with the class upper limits in the first column, the frequencies in the second column, and the relative frequencies in the third column

    Bins	Frequency	Relative Frequency f/n
    _________	_________	_________
    _________	_________	_________
    _________	_________	_________
    _________	_________	_________
    _________	_________	_________
    _________	_________	_________
    Sums:	_________	_________

13. Sketch a histogram of the relative frequency.
14. __________________ What is the shape of the distribution?