(i) Verify that the empirical rule holds for one standard deviation around themean. (ii) Verify that the empirical rule holds true for two standard deviations aroundthe mean. (iii) Verify that the empirical rule holds true for three standard deviationsaround the mean. D. The following data set shows the double occupancy room rates (in USD) at 30three star Zambia hotels. Assume the data is normally distributed with mean of$152.8 and standard deviation of $20.5.Sorted Room Rates in Zambia113120123126128129136139142143145146147152153153159161163165166166167169169170172180183199

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Description: (i) Verify that the empirical rule holds for one standard deviation around themean. (ii) Verify that the empirical rule holds true for two standard deviations aroundthe mean. (iii) Verify that the empirical rule holds true for three standard deviatio

Given: μ = 152.8 σ = 20.5 Formula Used: One standard deviation around the mean = μ ± σ Two standard…

Answered: i) Verify that the empirical rule holds…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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ISBN:9780079039897

Author:Carter

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Chapter10: Statistics

Section10.5: Comparing Sets Of Data

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(i) Verify that the empirical rule holds for one standard deviation around the
mean.

(ii) Verify that the empirical rule holds true for two standard deviations around
the mean.

(iii) Verify that the empirical rule holds true for three standard deviations
around the mean.

D. The following data set shows the double occupancy room rates (in USD) at 30
three star Zambia hotels. Assume the data is normally distributed with mean of
$152.8 and standard deviation of $20.5.
Sorted Room Rates in Zambia
113
120
123
126
128
129
136
139
142
143
145
146
147
152
153
153
159
161
163
165
166
166
167
169
169
170
172
180
183
199

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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