8.) Six people were asked to determine the amount of money they were carrying, to the nearest dollar. The results are shown below. Complete parts a and b.$30, $61, $12, $27, $5, $51 9.....a) Determine the range and standard deviation of the amounts.The range of the amounts is $(Simplify your answer.)The standard deviation of the amounts is $.(Round the final answer to the nearest cent as needed. Round all intermediate values to the nearest cent as needed.)b) Add $10 to each of the six amounts. Determine the range and standard deviation of the new amounts.The range of the new amounts is $(Simplify your answer.)The standard deviation of the new amounts is $(Round the final answer to the nearest cent as needed. Round all intermediate values to the nearest cent as needed.)

(a) Obtain the range of the amounts. The range of the amounts is obtained below as follows: From the information, given that the min value is 5 and the max value is 61 The required value of range is, Thus, the range of amounts is $56. Obtain the standard deviation of the amounts. Use EXCEL Procedure for finding the value of standard deviation. Follow the instruction to obtain the value of standard deviation. Open EXCEL Go to Formula bar. In formula bar enter the function as“=STDEV” Enter the range as $A$1:$A$6. Click enter. EXCEL output: From the EXCEL output, the value of the standard deviation is 21.69793 Thus, the value of standard deviation of the amounts is $21.70.(b) Determine the value of range of new amounts. The value of range of new amounts is obtained below as follows: From the information, given that the constant $10 dollars to each of the six amounts. It is clear that the value of range do not change by adding or subtracting constant to the given data points. Thus, the value of range of new amounts is $56. Determine the standard deviation of the new amounts. The standard deviation of the new amounts is obtained below as follows: From the information, given that the constant $10 dollars to each of the six amounts. It is clear that the value of standard deviation do not change by adding or subtracting constant to the given data points. Thus, the standard deviation of the new amounts is $21.70.