Certain conditions are set for each race; for example, the age of the horses that could be entered, the gender of the horses that could be entered, and whether the horse has won a prior race or not. Once the conditions are set, owners nominate their eligible horses for the races, and then some of those nominated horses are chosen to run in the race. A random sample of 20 races was selected, and the number of horses nominated for each race is recorded below.
7 13 28 12 16 23 13 49 18 11 9 27 36 18 15 11 32 22 1921
For the data above:_____.
(a) construct an appropriate stem-and-leaf plot to graphically display this data (to do so, type the stems down the left edge of the box, and next to each space over three (3) times, then write the leaves next to the appropriate stems; it is not necessary to draw a line to separate the stems and the leaves:
(b) calculate the mean, median, range, standard deviation, and interquartile range for this data (round all answers to two decimal places):You may do the calculations by hand or with the calculator, partial credit will only be given if correct work is shown:
(c) use the stem-and-leaf plot and appropriate statistics to completely describe the distribution of the number of horses nominated for each race in the sample.