4. Problem 2.16 The following data is about the cost of electricity (in $) durin

Question

4. Problem 2.16 The following data is about the cost of electricity (in $) during July 2017 for a random sample of 50 one-bedroom apartments in a large city. 96 171 202 178 147 102 153 197 127 182 157 185 190 116 172 111 148 213 130 165 141 149 206 175 123 128 144 168 109 167 95 163 150 154 130 143 187 166 139 149 108 119 183 151 114 135 191 137 129 158 Construct a frequency distribution and a percentage distribution that have class intervals with the upper class boundaries $99, $119, and so on. Construct a cumulative percentage distribution. Around what amount does the monthly electricity cost seem to be concentrated? a. b. c.

Explanation / Answer

a. Constructing frequency distribution by taking count of each category, we get following table also inclludes b. cumulative column

c. The maximun occurance for electricity bill is in range 140-159 with count = 13 and Probability = 0.26

Range Count Probability Cumulative 80-99 2 0.04 0.04 100-119 7 0.14 0.18 120-139 9 0.18 0.36 140-159 13 0.26 0.62 160-179 9 0.18 0.8 180-199 7 0.14 0.94 200-219 3 0.06 1 Total 50

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