QUESTION IMAGE
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?
233 226 239 279 229 293 216 182
the range of the sample data is □
(round to one decimal place as needed.)
Step1: Find the maximum and minimum values
The given data set is \(233, 226, 239, 279, 229, 293, 216, 182\).
The maximum value \(M = 293\) and the minimum value \(m=182\).
Step2: Calculate the range
The formula for the range \(R\) of a data set is \(R = M - m\).
Substitute the values: \(R=293 - 182\).
\(R = 111.0\)
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\(111.0\) dollars