Question

BBUnderStat 12 3.2.011 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, 11, 15, 12, 14 (a) Use the defining formula, the computation formula, or a calculator to compute s. (Round your answer to one decimal place.) (b) Multiply each data value by 3 to obtain the new data set 18, 33, 45, 36, 42. Compute s. (Round your answer to one decimal place.) (c) Compare the results of parts (a) and (b). In general, how does the standard deviation change if each data value is multipled by a constant ca g each data value by the same constant c results in the standard deviation being Icl times smaller. each data value by the same constant c results in the standard deviation increasing by c units O Multiplying Multiplying each data value by the same constant c results in the standard deviation being Icl times as large O Multiplying each data value by the same constant c results in the standard devation remaining the same recorded the weekly distances you bicycled in miles and computed the standard deviation to be s - 2 miles. Your friend wants to know the standard deviation in kilometers. Do you need to redo all the calculations? O Yes No Given 1 mile 1.6 kilometers, what is the standard deviation in kilometers? (Enter your answer to two decimal places.) km 1:06 PM

Answer 1

a) Using calculator s = 3.5

b) Using calculator s = 10.5

c) Option (2)

d) No, not required redo calculations

e) 3.2 kilometers