PLEASE SEE ATTACHED 2 DOCUMENTS

PLEASE SEE ATTACHED 2 DOCUMENTS
WEEK 3 ASSIGNMENT Directions: Answer the questions below. When applicable, please show all your work. Section 3.1 1. (2 point s) Consider the mode, median, and mean. Which average represents the middle value of a data distribution? Which average represents the most frequent value of a distribution? Which average takes all the specific values into account? 2. (3 points) Critical Thinking Consider the numbers 2 3 4 5 5 (a) Compute the mode, median, and mean. (b) If the numbers represented codes for the colors of T -shirts ordered from a catalog, which average(s) would make sense? (c) If the numbers represented one -way mileages for trails to different lakes, which average(s) would make sense? 3. (3 points) Death Valley : How hot does it get in Death Valley? The following data are taken from a study conducted by the National Park System, of which Death Valley is a unit. The ground temperatures (°F) were taken from May to November in the vicinity of Furnace Creek. 146 152 168 174 180 178 179 180 178 178 168 165 152 144 Compute the mean, median, and mode for these ground temperatures. Section 3.2 4. (1 point) Which average — mean, median, or mode — is associated with the standard deviation? 5. (5 point s) Data Transformation : In this problem, we explore the effect on the standard deviation of adding the same constant to each data value in a data set. Consider the data set 5, 9, 10, 11, 15. (a) Use the defining formula, the computat ion formula, or a calculator to compute s. (b) Add 5 to each data value to get the new data set 10, 14, 15, 16, 20. Compute s. Section 3.3 6. (6 points) Health Care: Nurses at Center Hospital there is some concern about the high turnover of nurses. A survey was done to determine how long (in months) nurses had been in their current positions. The responses (in months) of 20 nurses were 23 2 5 14 25 36 27 42 12 8 7 23 29 26 28 11 20 31 8 36 Make a box -and -whisker plot of the data. Find the interquartile range.