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University of California, Los Angeles *

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100A

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Statistics

Date

Jun 10, 2024

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pdf

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Stats 10 Homework #2 2.20 Acura has higher mpg, BMW has more variation because the data is more spread out 2.22 1. A 2. C 3. B 2.38 1. 7.5 million 2. 5.2 million 3. No it suggest high blood pressure 4. Parmuda chart? 2.42 1. 27% 4+21+2 2. 8% 36-28 pie chart was better because it involved less estimation and had more specific percentages 2.50 1. Bar graph because it is not touching 2. A stem and leaf plot would be appropriate because it would show the differences much easier 3.14 Ca standard deviation : 429.0392 mean:7040+ 6423+6313+6802+7048+7460/6 =6847.67 TX standard deviation : 807.9135 mean:7155+7504+7328+8230+7344+5760/6=7220.17 On average, Texas pays more than california. For standard deviation, California is more consistent than Texas.
3.16 New York has more variation while LA has a higher typical temperature. We know this because LA has more data within the meanwhile New york is more spread out. 3.24 a. Florida is typically more expensive with the average cost for housing being 244.3 and GA being 206.4 b. Florida has more variation. c. I predict without the high price house in Florida, the standard deviation would show a smaller amount of variation. My prediction was correct, with all the data standard deviation for FL is 86.43132 and without the 432.4 house, the standard deviation is 68.32127
3.30 a. Between 63.5 and 78.1 is the 68% of the per capita energy consumption rates b. Between 56.2 and 85.4 is the 95% of the per capita energy consumption rates c. An energy consumption rate of 54 million BTU would not be unusual because it falls within 2 standard variations of the mean. d. An energy consumption rate of 80.5 million BTU would not be considered unusually high because it also falls within 2 standard deviations from the mean. e.
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3.38 a. 18 b. 18.96 c. Birth length of 45 centimeters for babies born one month early are more common. 3.44 a. $487 is the median. This is the middle price of the seven DC movies. b. IQR=181 c. range= 297. IQR is preferred over than range method because it factor in more of the data, hence leading to a more accurate display of the data. 3.46 a. 543 is the median of the domestic gross of the top 5 DC movies 3.56 a. Both histograms are spiked. b. You would use the median c. You would use IQR