Following are the men’s gold-medal times for the 100 m run in the Olympic games from 1896 to 2003, rounded tothe nearest tenth. Construct an ordered stem and leaf plot for the data. Year Time (sec), (rounded) 1896 12.0 1900 11.0 1904 11.0 1908 10.8 1912 10.8 1920 10.8 1924 10.6 1928 10.8 1932 10.3 1936 10.3 1948 10.3 1952 10.4 1956 10.5 1960 10.2 1964 10.0 1968 10.0 1972 10.1 1976 10.1 1980 10.3 1984 10.0 1988 9.9 1992 9.7 1996 9.8 2000 9.9

To construct an ordered stem and leaf plot for the given data, follow these steps:

Step 1: Identify the smallest and largest numbers in the data set. In this case, the smallest number is 9.7 and the largest number is 12.0.

Step 2: Decide on the interval for the stems. You can choose any interval that makes sense for your data. In this case, since the numbers have one decimal place, we can choose an interval of 0.1.

Step 3: Create the stem and leaf plot. The stems will represent the whole numbers and the leaves will represent the decimal parts.

Here is the ordered stem and leaf plot for the given data:

9 | 7 8 9
10 | 0 0 1 1 1 2 2 3 3 4 5 8
11 | 0 0
12 | 0

Note: The stem is the whole number part of the value and the leaf is the decimal part. For example, in the stem 9, the leaf 7 represents 9.7. In the stem 10, the leafs 0 0 1 1 1 2 2 3 3 4 5 8 represent 10.0, 10.0, 10.1, 10.1, 10.1, 10.2, 10.2, 10.3, 10.3, 10.4, 10.5, 10.8. And so on for the other stems.

This stem and leaf plot organizes the data in a way that allows you to see the distribution and patterns more clearly.