Copy of Mod 3 Statistics Written Problems

Statistics Written Problems Please do not delete anything on this document except for the italicized words indicating that they should be replaced with a picture of your work. Directions : 1. Type your answers and explanations in the blue shaded boxes provided. 2. E xplain your reasoning using complete English sentences. Note this is not your answer in a sentence. Explain why you did what you did to arrive at your answer. The text box will expand as you type if needed. 3. Take a picture of your work when stated. Insert that cropped image, to only show the work for the problem, replacing the maroon italicized words: “ Replace these words… ”. 4. When done, save this document (with your solutions, images, and explanations) as a .pdf file and upload it in the link to this assignment. Note that no emailed or shared assignments will be accepted. IMPORTANT: This is not a test. You are allowed to ask for help on InScribe . Make sure you post an image of the question you are asking about AND what you have tried so far. 1. [3 pts] The average weight of 6 people in an elevator is 173 pounds. A 7 th person gets on and now the average weight is 165 pounds. How much did the 7 th person weigh? Set Up & Work (2 pts) Answer (0.5 pt) 117 lbs Reasoning/Explanation (0.5 pt) To calculate the weight of the seventh person, we have to ±ind the difference between the total weight of the elevators. We do this by taking the average weight multiplied by the number of people. Thus the elevator with six people weighed one thousand thirty-eight pounds and the elevator with seven people weighed one thousand one hundred ±ifty-±ive pounds. Then we subtract to ±ind the difference. One thousand one hundred ±ifty-±ive pounds minus one thousand thirty eight pounds equals one hundred seventeen pounds. 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. [2 pts] Find the mean of the data set. (Round to one decimal place.) Work (1 pt) Answer (0.5 pt) 59.8 years old Reasoning/Explanation (0.5 pt) The mean is calculated by taking the sum of all data values divided by the number of data values. In this case we add together sixty-four, forty-six, ±ifty-four, forty-seven, seventy, and seventy-eight to get a sum of three hundred ±ifty-nine. Then we divide by the total number of data values which is six. Thus three hundred ±ifty-nine divided by six equals ±ifty-nine and eight tenths. b. [4 pts] Find the standard deviation of the data set. (Do not round until the final answer. Round final answer to 1 decimal place.) Work (2.5 pts) Answer (0.5 pt) 13.0 Reasoning/Explanation (1 pt) To calculate standard deviation we ±irst have to take each value minus the mean squared. The table on the right illustrates this process. Each data value is labeled as x. Moving across the table we take the initial value of x minus the mean which we found to be ±ifty-nine and eight tenths.

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