Question

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?
207 226 289 233 102 180 131 275
the range of the sample data is 187.0 dollars. (round to one decimal place as needed.)
the standard deviation of the sample data is 65.3 dollars. (round to one decimal place as needed.)
the variance of the sample data is
(round to one decimal place as needed.)

Explanation:

Step1: Recall variance - standard - deviation relationship

The variance $s^{2}$ of a sample is the square of the sample - standard deviation $s$.

Step2: Calculate the variance

Given $s = 65.3$ dollars. Then $s^{2}=(65.3)^{2}=4264.1$ (rounded to one decimal place).

Answer:

4264.1 dollars$^{2}$