Gabriel and Lucia took a road trip across the country. The room costs, in dollars, for their overnight stays are listed in the accompanying table. Find the mean of the distribution. Click the icon to view the room costs in dollars. The mean of the distribution is $ (Type an integer or a decimal. Round to the nearest cent as needed.) Room Costs ($) 87 108 108 247 124 132 165 180 132 119 189 268 0 ... - X
Gabriel and Lucia took a road trip across the country. The room costs, in dollars, for their overnight stays are listed in the accompanying table. Find the mean of the distribution. Click the icon to view the room costs in dollars. The mean of the distribution is $ (Type an integer or a decimal. Round to the nearest cent as needed.) Room Costs ($) 87 108 108 247 124 132 165 180 132 119 189 268 0 ... - X
Gabriel and Lucia took a road trip across the country. The room costs, in dollars, for their overnight stays are listed in the accompanying table. Find the mean of the distribution. Click the icon to view the room costs in dollars. The mean of the distribution is $ (Type an integer or a decimal. Round to the nearest cent as needed.) Room Costs ($) 87 108 108 247 124 132 165 180 132 119 189 268 0 ... - X
Gabriel and Lucia took a road trip across the country. The room costs, in dollars, for their overnight stays are listed in the accompanying table. Find the mean of the distribution.
Transcribed Image Text:Gabriel and Lucia took a road trip across the country. The room costs, in dollars, for their overnight stays are listed in the accompanying table. Find
the mean of the distribution.
Click the icon to view the room costs in dollars.
The mean of the distribution is $.
(Type an integer or a decimal. Round to the nearest cent as needed.)
Room Costs ($)
108 124
132
87
108 247
165
180
132 119
189
268
U
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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