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Please show work and explain steps. Thank you. 1. The average weight of 6 people in an elevator is 173 pounds. A 7 th person

Please show work and explain steps. Thank you.

1. The average weight of 6 people in an elevator is 173 pounds. A 7th person gets on and now the average weight is 165 pounds. How much did the 7th person weight?

2. Use the following data obtained from ages of the last six U. S. Presidents at the time of their inauguration to answer the following questions:

Ages of Last 6 Presidents at Inauguration
George Bush 64
Bill Clinton 46
George W. Bush 54
Barack Obama 47
Donald Trump 70
Joe Biden 78

a. Find the mean of the data set. (Round to one decimal place.)

b. Find the standard deviation of the data set. (Do not round until the final answer. Round final answer to 1 decimal place.) Write problem without using the standard deviation capabilities of a calculator. Explanation is only an explanation of the process in English sentences, not reasoning for this part.

c. What percentage of presidents' ages fall within one standard deviation of the mean? (Round to 1 decimal place.)

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