Mat133 Chapter 4 Homework

Question 1. Days on the market are shown for the 36 most recent home sales in the city of Sonando Hills. 127 162 128 134 13 176 151 146 9 50 27 141 148 9 59 146 135 7 79 33 164 9 65 115 178 115 108 166 134 99 111 88 16 112 31 154 (a)​ Calculate the mean, median, and mode. ​(Round your answers to 2 decimal places.) Mean ​ 98.47 ​correct Median ​113.5 ​correct Mode ​9 ​correct (b)​ Is the distribution skewed? Yes, the distribution is skewed left.​ ​correct (c)​ Is the mode a useful measure of center for this data set? Yes ​correct Question 2. ​ Consider the following sample data. Sample A: 15, 18, 21 Sample B: 73, 76, 79 Sample C: 1,060; 1,063; 1,066 (a)​ Find the mean and standard deviation for each sample. Sample A: Sample B: Sample C: Mean 18 76 1063 Sample Standard 3 3 3 Deviation (b)​ What does this exercise show about the standard deviation? The idea is to illustrate that the standard deviation is not a function of the value of the mean. ​correct Question 3. For each data set, answer the following questions. Data Set A: 6, 7, 8 Data Set B: 4, 5, 6, 7, 8, 9, 10 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, Data Set C: 13 Click here for the Excel Data File (a-c) ​Find the mean, sample standard deviation–treating the data as a sample, and the population standard deviation–treating the data as a population. ​(Round your answers to 4 decimal places.) Mean Sample Standard Deviation Population Standard Deviation Data Set A Data Set B Data Set C 7 7 7 1 2.16 3.8944404818493 0.81649658 2 3.​7416573867739