Make a stem-and-leaf plot that shows the following data:
Percentage of Country Households with Color Television
Austria
97
Belgium
93
Canada
69
Denmark
95
France
88
Germany
94
Greece
64
Ireland
92
Italy
88
Japan
100
Switzerland
91
United States
97
Stem-and-leaf plot of Percentage of Country Households with Color Television:
| Key: 6|4 means 64%
|
| 6|4
| 6|9
| 8|8 8
| 9|2 3 4 5
| 10|0
| 9|1
The stem represents the tens digit and the leaves represent the ones digit of the percentages. For example, the first row of the plot shows that one country (Greece) has 64% of households with color television.
To create a stem-and-leaf plot for the given data, follow these steps:
Step 1: Separate the data into stems and leaves.
Stem: The tens' place digit of each data point.
Leaf: The ones' place digit of each data point.
The given data can be separated as follows:
Austria: 9 7
Belgium: 9 3
Canada: 6 9
Denmark: 9 5
France: 8 8
Germany: 9 4
Greece: 6 4
Ireland: 9 2
Italy: 8 8
Japan: 1 0 0
Switzerland: 9 1
United States: 9 7
Step 2: Sort the stems in ascending order and list them vertically.
1
6
8
9
Step 3: Write the leaves corresponding to each stem in ascending order.
1 | 0 0
6 | 4 9
8 | 8 8
9 | 2 3 4 5 7 7
Step 4: Present the stems and leaves in a stem-and-leaf plot format.
1 | 0
6 | 4 9
8 | 8 8
9 | 2 3 4 5 7 7
This stem-and-leaf plot represents the percentage of country households with color television in the given data.
To create a stem-and-leaf plot, follow these steps:
1. Separate the data into two parts: the stem and the leaf. The stem represents the tens place, and the leaf represents the ones place of the data.
2. Arrange the stems in ascending order.
3. Place the corresponding leaves for each stem next to it.
Based on the given data, we have the following:
Austria: 97
Belgium: 93
Canada: 69
Denmark: 95
France: 88
Germany: 94
Greece: 64
Ireland: 92
Italy: 88
Japan: 100
Switzerland: 91
United States: 97
Sorting the data based on stem values gives us:
6 | 4
6 |
6 | 9
8 | 4 8
9 | 1 2 4 5 7
10 | 0
Here is the stem-and-leaf plot representing the given data:
6 | 4
6 |
6 | 9
8 | 4 8
9 | 1 2 4 5 7
10| 0
In this plot, the stems are on the left side, and the leaves are on the right side. For example, the stem "6" with the leaf "4" represents the percentage value 64. Similarly, the stem "9" with the leaf "2" represents the percentage value 92.