1.
In a particular week, the cable channel TCM (Turner Classic Movies) showed seven movies rated ****, nine movies rated ***, three movies rated **, and one movie rated *. Which measure of central tendency would you use to describe the "average" movie rating on TCM (assuming that week was typical)? (Data are from TV Guide.) (Select all that apply.)/ Median
/ Mean
/ Mode
2-5
Statistics students were asked to fill a one-cup measure with raisin bran, tap the cup lightly on the counter three times to settle the contents, if necessary add more raisin bran to bring the contents exactly to the one-cup line, spread the contents on a large plate, and count the raisins. The 13 students who chose Kellogg's Raisin Bran obtained the results shown below.23 / 33 / 44 / 36 / 29 / 42 / 31 / 33 / 61 / 36 / 34 / 23 / 24
2
(a) / Use Excel to calculate the mean, median, mode, and midrange. (Round your answers to 2 decimal places.)Descriptive Statistics / Data
Mean
Median
Mode
Midrange
3
(b) / Which two of the following are the best measures of central tendency for the raisin bran study? (Select all that apply.)/ Mean
/ Median
/ Mode
4
(c) / Calculate the standard deviation and coefficient of variation. (Convert to a percentage, then round your answers to 2 decimal places. Omit the "%" sign in your response.)Descriptive Statistics / Data
Standard deviation
Coefficient of variation / %
5
(d) / Which factor causes variation in the number of raisins in a cup of raisin bran?Quantity or weight
6 – 9
Salt-sensitive people must be careful of sodium content in foods. The sodium content (milligrams) in a 3-tablespoon serving of 33 brands of peanut butter is shown below.98 / 225 / 225 / 225 / 23 / 0 / 210 / 0 / 210 / 225 / 210 / 165 / 180 / 240
225 / 8 / 375 / 225 / 270 / 285 / 180 / 210 / 180 / 195 / 195 / 188 / 173
165 / 165 / 180 / 180 / 0 / 300
6
(b) / Find the mean, median, mode, and midrange. (Round your answers to 2 decimal places.)Descriptive Statistics / Data
Mean
Median
Mode
Midrange
7
(c) / Which two are the best measures of central tendency for these study data? (Select all that apply.)/ Midrange
/ Mode
/ Mean
/ Median
8
(d) / Why would the geometric mean not work here?Data values are equal to zero
Data values are high
The range for the values is large
9
(f) / Are there outliers? Unusual data values?Ther are three unusual values and 2 others
There are three low unusual low values and 1 unusual high value
There are two low outliers and 1 high outliner
There are five unusual value and 1 outlier