Answered: The following data shows the cost of…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter5: Linear Inequalities

Section5.2: Solving Inequalities By Multiplication And Division

Problem 3AGP

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Question

The following data shows the cost of electricity (in $) during July 2015 for a random sample of 50 one-bedroom apartments in a large city.

a.Form a frequency distribution for the above data.

b. Find arithmetic mean based on the frequency distribution you developed.

96
171
202
178
147
102
153
197
127
82
157
185
90
116
172
111
148
213
168
130
165
141
149
206
175
123
128
144
109
167
95
163
150
154
130
143
187
166
139
149
108
119
183
151
114
135
191
137
129
158

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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