You love the game of bowling and have been keeping track of your scores for the last 13 games. Your data is displayed in the table and stemplot (stem-and-leaf plot) below.
113 | 85 | 76 | 96 | 92 | 76 | 110 | 111 | 93 | 110 |
91 | 79 | 101 |
7 | 6 6 9
8 | 5
9 | 1 2 3 6
10 | 1
11 | 0 0 1 3
_________________
Key: 7 | 6 = 76
a) First, let's use the stemplot to re-write the data, putting it into order easily.
b) Now that the data is sorted in order, it is easy to find the median. Which value is directly in the middle?
median =
The median is considered a "measure of center." The median is often used to represent a "typical value". In this context, it represents a typical bowling score.
c) The mean is also considered a "measure of center." To find the mean, add up all of the numbers and divide by 13 (the number of values).
mean =
d) When describing data, you also want to calculate and interpret a "measure of spread." One simple one is the range. The range is a measure of the total spread of the data (max minus min).
Max (largest value): , Min (smallestvalue):
Range:
d) Put statements of center and spread together into a sentence:
"My bowling scores are centered about a median of points (representing a typical bowling score), and my scores are spread over a range of points."