ANSWER TO FRAME 30.
Ordering both samples gives:
Sample A: 7, 17, 22, 23, 29, 34
Sample B: 7, 17, 22, 23, 29, 10,000
Since there are an even number of observations we find the mean of the middle two which gives:
Sample A: (22 + 23) /2 22.5
Sample B: (22 + 23) /2 - 22.5
Note that the median is not affected by extreme values as the mean was.
ANSWER TO FRAME 31.
Sample A: The value 22 occurs twice and all other values occur only once, so the mode is 22.
Sample B: Each value occurs the same number of times, once. The mode is the value or
values that occur most often in the data set.
Sample C: The values 7 and 22 both occur twice. Both are modes of this group of data.
Since two values occur twice, the data are bi-modal (two modes).
Notice there may be none, one, or more than one mode for a group of observations. There is,
however, only one mean or median for any group of data.