In: Statistics and Probability
Listed below are prices in dollars for one night at different hotels in a certain region. Find the range, variance, and standard deviation for the given sample data. Include appropriate units in the results. How useful are the measures of variation for someone searching for a room?
270 278 154 144 220 222 178 285
270 | 51.125 | 2613.765625 |
278 | 59.125 | 3495.765625 |
154 | -64.875 | 4208.765625 |
144 | -74.875 | 5606.265625 |
220 | 1.125 | 1.265625 |
222 | 3.125 | 9.765625 |
178 | -40.875 | 1670.765625 |
285 | 66.125 | 4372.515625 |
The measure of variation is not very useful because when searching for a room, low prices, location, and good accommodations are not more important than the amount of variation in the area.