The Truly Amazing Dudes are a group of comic acrobats. The weights (in pounds) of the ten acrobats are as follows. 146 192 174 177 159 87 178 152 144 148 (a) Find the mean and sample standard deviation of the weights. (Round your answers to one decimal place.) mean 155.7 lbs standard deviation ? lbs (b) What percent of the data lies within one standard deviation of the mean? % (c) What percent of the data lies within two standard deviations of the mean? %
The Truly Amazing Dudes are a group of comic acrobats. The weights (in pounds) of the ten acrobats are as follows. 146 192 174 177 159 87 178 152 144 148 (a) Find the mean and sample standard deviation of the weights. (Round your answers to one decimal place.) mean 155.7 lbs standard deviation ? lbs (b) What percent of the data lies within one standard deviation of the mean? % (c) What percent of the data lies within two standard deviations of the mean? %
The Truly Amazing Dudes are a group of comic acrobats. The weights (in pounds) of the ten acrobats are as follows. 146 192 174 177 159 87 178 152 144 148 (a) Find the mean and sample standard deviation of the weights. (Round your answers to one decimal place.) mean 155.7 lbs standard deviation ? lbs (b) What percent of the data lies within one standard deviation of the mean? % (c) What percent of the data lies within two standard deviations of the mean? %
The Truly Amazing Dudes are a group of comic acrobats. The weights (in pounds) of the ten acrobats are as follows.
146
192
174
177
159
87
178
152
144
148
(a) Find the mean and sample standard deviation of the weights. (Round your answers to one decimal place.)
mean
155.7 lbs
standard deviation
? lbs
(b) What percent of the data lies within one standard deviation of the mean? %
(c) What percent of the data lies within two standard deviations of the mean? %
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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