Create A Stem And Leaf Display For These Horsepowers

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In the world of engineering, horsepower is one of the most common units of power. It is used to measure the power output of engines, motors, and other machines. However, when it comes to analyzing data sets that involve horsepower, it can be challenging to present the information in a clear and concise manner. This is where the stem and leaf display comes in. In this article, we will discuss what a stem and leaf display is, how to create one for horsepower data, and why it is useful.

What is a Stem and Leaf Display?

A stem and leaf display is a graphical representation of a data set. It is used to show the distribution of the data and to identify any patterns or outliers. The stem and leaf display consists of two parts: the stem and the leaf. The stem is the first digit of the data value, and the leaf is the second digit. For example, if we have the data set {12, 16, 23, 27, 29, 31, 33}, the stem is the tens digit (1, 2, or 3), and the leaf is the ones digit (2, 6, 3, 7, 9, 1, 3). The stem and leaf display arranges the data in a table-like format, with the stems running down the left-hand side and the leaves running across the top. The leaves are written in order from smallest to largest.

Why Use a Stem and Leaf Display?

There are several benefits to using a stem and leaf display to analyze data. Firstly, it provides a clear and concise representation of the data. It is easy to read and interpret, even for those who are not familiar with statistics. Secondly, it shows the distribution of the data, allowing you to see if the data is skewed or if there are any outliers. Finally, it is a useful tool for comparing data sets, as you can easily see the differences between them.

Creating a Stem and Leaf Display for Horsepower Data

Now that we know what a stem and leaf display is and why it is useful, let's look at how to create one for horsepower data. Firstly, we need to determine the stem and leaf values. In this example, we will be using a data set of horsepower values for cars. The data set is as follows: {92, 105, 112, 119, 125, 132, 138, 145, 152, 159, 166, 173, 180, 187, 194, 201, 208, 215, 222, 229}. To determine the stem and leaf values, we need to look at the tens digit of each value. In this case, the tens digit is always 9. Therefore, the stem values will be 9. The leaf values are the ones digits of each value. We can write them in order from smallest to largest: 9 | 2 5 10 | 5 11 | 2 9 12 | 5 13 | 2 8 14 | 5 2 15 | 9 2 16 | 6 3 17 | 3 0 18 | 0 7 19 | 4 1 20 | 1 8 21 | 5 2 22 | 9 The stem and leaf display for this data set would look like this: ``` 9 | 2 5 10 | 5 11 | 2 9 12 | 5 13 | 2 8 14 | 5 2 15 | 9 2 16 | 6 3 17 | 3 0 18 | 0 7 19 | 4 1 20 | 1 8 21 | 5 2 22 | 9 ```

Interpreting the Stem and Leaf Display

Now that we have created the stem and leaf display for our horsepower data, let's look at how to interpret it. The stem and leaf display shows us that the horsepower values range from 92 to 229. We can see that the majority of the values are in the 100s, with a few in the 90s and a few in the 200s. We can also see that there are no outliers in the data set. All of the values fall within a reasonable range. Finally, we can use the stem and leaf display to compare this data set to others. For example, if we had a second data set of horsepower values for trucks, we could create a stem and leaf display for that data set and compare it to the car data set. This would allow us to see the differences between the two data sets more clearly.

Conclusion

In conclusion, the stem and leaf display is a useful tool for analyzing data sets that involve horsepower values. By creating a stem and leaf display, we can see the distribution of the data, identify any outliers, and compare the data to other data sets. It is a clear and concise way to present the information and is easy to interpret, even for those who are not familiar with statistics. If you are working with horsepower data, consider using a stem and leaf display to analyze your data.