Hue angle data
Hue name | Hue angle° |
red | 9 |
orange-red | 17 |
red-orange | 24 |
red-orange | 24 |
dark orange | 26 |
orange | 30 |
yellow-orange | 36 |
orange-yellow | 43 |
goldenrod | 48 |
gold | 52 |
yellow | 64 |
green-yellow | 77 |
chartreuse | 88 |
green | 111 |
mint | 137 |
aquamarine | 165 |
cyan | 184 |
deep sky blue | 200 |
royal blue | 217 |
blue | 230 |
blue | 236 |
blue | 239 |
indigo | 250 |
purple | 270 |
magenta | 303 |
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
- _________ What level of measurement is the hue angle data?
- _________ Determine the sample size n.
- _________ Calculate the sample mean
x.
- _________ Determine the median.
- _________ Determine the mode.
- _________ Determine the minimum.
- _________ Determine the maximum.
- _________ Calculate the range.
- _________ Calculate the sample standard deviation sx.
- _________ Calculate the sample Coefficient of Variation.
- _________ Determine the class width. Use 6 bins (classes or intervals)
- 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: | _________ | _________ |
- Sketch a histogram of the relative frequency.
- __________________ What is the shape of the distribution?