Can someone help me with the steps and how to actually solve equations like this one?

at alll 70% 4:48 PM 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, 7, 4, 7, 7. (a) Use the defining formula, the computation formula, or a calculator to compute s. (Round your answer to one decimal place.) S= (b) Multiply each data value by 6 to obtain the new data set 36, 42, 24, 42, 42. Compute s. (Round your answer to one decimal place.) S= (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 being [c) times smaller. Multiplying each data value by the same constant c results in the standard deviation being jof 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 re viation remaining the same. (d) You recorded the weekly distances you bicycled in miles and computed the standard deviation to be s = 3.3 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.) S= 3.36 * km