(Solved): Section 3.1 pp. 98 - 100 5,6,7,18ab,19,20 (Round to one decimal place for mean) Answers for evens ...

Section 3.1 pp. 98 - 100 $$5,6,7,18\mathrm{ab},19,20$$ (Round to one decimal place for mean) Answers for evens in Section 3.1: 6. Mean $$=15.4,\mathrm{med}=15$$, mode $$=20,18\mathrm{a}$$. mean increases, median remains the same b. mean decreases, median remains the same 20 . Men $$=6.2$$, median $$=6$$, mode $$=7$$ Section $$3.2$$ pp. 114-115 13a, 13d, 17a, 17c (Use your calculator (not the defining formula) in both 13d and 17c) Section 3.3 pp. 129-130 5abc, 6abc, 7, 8a, 9a, 10a, 11abcd Answers for evens in Section 3.3: 6. Min $$=2,\mathrm{Q}=5,\mathrm{Q}2=7.5,\mathrm{Q}3=9,\max =12$$ (Also box plot) 8a. Min $$=3,Q1=16,Q2=23,Q3=30,\max =72$$ (Also box plot) 10a. $$\mathrm{Min}=5,\mathrm{Q}1=9,\mathrm{Q}2=10,\mathrm{Q}3=12,\max =15$$ (Also box plot) ADDITIONAL PROBLEMS 1. In the graph to the following: a. Is the data skewed left or right? b. If one of lines $$a$$ and $$b$$ represent the median and the other the mean, Which line represents the mean (a or $$b$$ 2. Listed below are the weight changes (in kilograms) during a student's freshman year in college. Round to one decimal place. $$\begin{array}{lllll}11& 3& 4& 2& 7\end{array}$$ a. Find the mean. $$($$ mean $$=5.4)$$ b. Find the range and standard deviation. (range $$=9,\mathrm{s}=3.6$$ ) 3. Listed below is the number of satellites in orbit for different countries. Round to one decimal place. $$\begin{array}{lllll}158& 17& 1& 2& 1\end{array}$$ a. Find the mean. $$($$ mean $$=35.8)$$ b. Find the range and standard deviation. (range $$=157,\mathrm{s}=68.6$$ ) 4. Listed below are the lengths in time in years it took a random sample of college students to earn a bachelor's degree: Round to one decimal place. \begin{tabular}{llllllll} \hline & 4 & 4 & $$4.5$$ & $$4.5$$ & 6 & 6 & 8 \end{tabular} a. Find the mean. $$($$ mean $$=5.3)$$ b. Find the range and standard deviation. (range $$=4,s=1.5$$ ) 5. In a data set that is skewed to the left, is the mean greater than the median or is the median great than the mean? 6. Suppose a data set is skewed right and you are given two numbers 100 and 106. If one of these is the mean and the other is the median, which of the two numbers is the mean? 7. Suppose a data set has a mean of 5 . If an extra data point of 29 is added to the data set, does the mean get bigger or smaller?