In a certain country, the heights and depths of a road are measured in relation to sea level. sea level has a value of 0. the lowest point of the country lies at −7 feet. the highest point of the country lies at +112 feet. which of the following statements best describes the lowest and the highest points? the lowest point is 7 feet above sea level, and the highest point is 112 feet below the lowest point. the lowest point is 7 feet below sea level, and the highest point is 112 feet above the lowest point. the lowest point is 7 feet above sea level, and the highest point is 112 feet below sea level. the lowest point is 7 feet below sea level, and the highest point is 112 feet above sea level.

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 14, 6, 8, 15, 15. (a) use the defining formula, the computation formula, or a calculator to compute s. (round your answer to one decimal place.) s = 4.28 (b) multiply each data value by 3 to obtain the new data set 42, 18, 24, 45, 45. compute s. (round your answer to one decimal place.) s = 12.83 (c) compare the results 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 increasing by c units. multiplying each data value by the same constant c results in the standard deviation being |c| times smaller. (d) you recorded the weekly distances you bicycled in miles and computed the standard deviation to be s = 3.8 miles. your friend wants to know the standard deviation in kilometers. do you need to redo all the calculations? yes no given 1 mile ≠1.6 kilometers, what is the standard deviation in kilometers? (enter your answer to two decimal places.)