The data below are from a study done about the waiting times between ordering and receiving coffee for 19 female customers at a coffee bar. 60 80 80 100 100 100 120 120 120 140 140 150 160 180 200 200 220 240 380
a. Compute the mean and standard deviation for this data. Use a calculator or spreadsheet.
b. Recalculate the mean and standard deviation without the last observation. What does that tell you about using the mean and standard deviation in a data set with outliers?
2. Research by the US FDA shows that acrylamide (which, like pretty much everything, causes cancer) forms when cooking highcarbohydrate foods at high temperatures. Seven orders of French fries from a local fast-food restaurant showed the following acrylamide levels: 497 193 328 155 326 245 270
a. Compute the mean value and calculate the deviation from the mean for each observation
. b. Verify that except for rounding, the sum of the deviations is zero. c. Calculate the variance and standard deviation for this data set.
3. Here are two data sets. Not sure from what, just sets of data. Numbers. Exciting stuff. Data A 9.14 8.14 8.74 8.77 9.26 8.10 6.13 3.10 9.13 7.26 4.74 Data B 6.58 5.76 7.71 8.84 8.47 7.04 5.25 5.56 7.91 6.89 12.50
a. Find the values of x and s for both data sets. SURPRISE! b. Make a back-to-back stem plot of the data sets (round each number to the nearest tenth, and use ones as the stems.) Comment on the shape of each data set.