hw2_sol - Statistics 528 Homework 2 Solutions 1.41 There...

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Statistics 528: Homework 2 Solutions 1.41 There are several gaps in the data, as can be seen from the histogram. Minitab Result: Min Q1 Med Q3 Max 2508 13278 17022 23568 26241 Manual Result: Min Q1 Med Q3 Max 2508 13385 17022.5 23552 26241 We cannot find out the overall shape or distribution from the five-number summary. From histogram, we can see there may be 3 modes, also a gap between $6,000 & $9,000, which couldn’t be seen from summaries. 1.45 (a) Stem-and-Leaf Display: Fees Stem-and-leaf of Fees N = 50 Leaf Unit = 1.0 2 0 89 7 1 00234 15 1 55558899 (28) 2 0000000000000111112222222223 7 2 59 5 3 0 4 3 5 3 4 00 1 4 1 5 0 $20 is the most common value. (b) IQR=4, and Q3=22, so anything over 28 is a possible outlier. There are several values over $30.
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1.50 Without the outlier, the mean is 137.59 (compared to before 141.06). The median is 137 (compared to 138.5). The mean changed by about 3.5, while the median changed by only 1.5 as a result of dropping the outlier. 1.58 (a) Back-to-back stemplot: Leaf unit: 10 minutes 433330 0 99997666 0 69 2222222 1 12222222 855 1 555578888888888 4400 2 0444 2 0 3 3 6 Symmetric, bell-shaped distributions without outliers are better summarized using x and s. (b) Descriptive Statistics: Minutes by Gender: (Including all data) Variable Gender N Mean Median TrMean StDev Minutes F 30 165.2 175.0 161.7 56.5 M 30 117.2 120.0 113.3 74.2 Variable Gender SE Mean Minimum Maximum Q1 Q3 Minutes F 10.3 60.0 360.0 120.0 180.0 M 13.6 0.0 300.0 60.0 157.5
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