Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

listed below are prices in dollars for one night at different hotels in…

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 (round to one decimal place as needed.)

Explanation:

Step1: Find maximum and minimum

The given data set is \(207, 226, 289, 233, 102, 180, 131, 275\). The maximum value \(x_{max}=289\) and the minimum value \(x_{min}=102\).

Step2: Calculate the range

The formula for the range \(R\) of a data - set is \(R = x_{max}-x_{min}\). So, \(R=289 - 102=187.0\).

Answer:

187.0 dollars