2. [0/3 Points] PREVIOUS ANSWERS BBBASICSTATB 3.1.0195. | PRACTICE ANOTHER How hot does it get in Death Valley? The following data are taken from a study conducted by the National Park System, of which Death Valley is a unit. The ground temperatures (F) were taken from May to November in the vicinity of Furnace Creek. Compute the mean, median, and mode for these ground temperatures. (Round your mean to four decimal places.) 148 151 167 173 186 182 183 186 182 167 182 164 151 146 m USES mean 169.1000 median 182 mode 170 XXX Submit Answer 3. BBBASICSTAT8 3.1.002. | MY NOTES What symbol is used for the arithmetic mean when it is a sample statistic? What symbol is used when the arithmetic mean is a population parameter? statistic, E; parameter, E -/1 Points] " statistic, )7; parameter, u statistic, [4; parameter, )7 " statistic, [4; parameter, [4 4. [-I10 Points] I DETAILS I BBBASICSTAT83.1.017.S. I MY NOTES I PRACTICEANOTHER In this problem, we explore the effect on the mean, median, and mode of multiplying each data value by the same number. Consider the following data set. 2, 2, 3, 6, 10 IA USE SA (a) Compute the mode, median, and mean. mode median mean (b) Multiply each data value by 3. Compute the mode, median, and mean. mode median mean (c) Compare the results of parts (a) and (b). In general, how do you think the mode, median, and mean are affected when each data value in a set is multiplied by the same constant? ' ' Multiplying each data value by the same constant 6 results in the mode, median, and mean increasing by a factor of c. ' Multiplying each data value by the same constant c results in the mode, median, and mean remaining the same. ' Multiplying each data value by the same constant c results in the mode, median, and mean decreasing by a factor of c. There is no distinct pattern when each data value is multiplied by the same constant. (d) Suppose you have information about average heights of a random sample of airline passengers. The mode is 67 inches, the median is 73 inches, and the mean is 75 inches. To convert the data into centimeters, multiply each data value by 2.54. What are the values of the mode, median, and mean in centimeters? (Enter your answers to two decimal places.) mode cm median cm mean cm 5. [-11 Points] BBBASICSTATB 3.2.004. What symbol is used for the standard deviation when it is a sample statistic? What symbol is used for the standard deviation when it is a population parameter? Sample statistic: a. Population parameter: s. 't For both, 5 is used. For both, a is used. / ' Sample statistic: 5. Population parameter: a. 6. [15 Points] PRACTICE ANOTHER BBBASICSTAT8 3.2.01 1 .S. In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. Consider the data set 6, 5, 10, 14, 17. uses T (a) Use the dening formula, the computation formula, or a calculator to compute 5. (Round your answer to four decimal places.) 5 = (b) Multiply each data value by 5 to obtain the new data set 30, 25, 50, 70, 85. Compute 5. (Round your answer to four decimal places.) 5 = (c) Compare the resulE of parts (a) and (b). In general, how does the standard deviation change if each data value is multiplied by a constant c? Multiplying each data value by the same constant c results in the standard deviation remaining the same. " Multiplying each data value by the same constant c results in the standard deviation being |c| times as large. Multiplying each data value by the same constant c results in the standard deviation being |c| times smaller. Multiplying each data value by the same constant c results in the standard deviation increasing by c units. (d) You recorded the weekly distances you bicycled in miles and computed the standard deviation to be 5 = 3.2 miles. Your friend wants to know the standard deviation in kilometers. Do you need to redo all the calculations? \" Yes AND Given 1 mile z 1.6 kilometers, what is the standard deviation in kilometers? (Enter your answer to two decimal places.) 5 = km