Question

use the data set listed and technology to create frequency histograms with 5, 10, and 20 classes. which graph displays the data best? explain.
1 6 4 3 10 4 14 7 4 9 10 13 10
7 11 10 1 2 12 5 6 4 1 8 15 14
create a histogram with 20 classes. choose the correct graph below.

Explanation:

Step1: Determine data range

The minimum value in the data - set is 1 and the maximum is 15. The range $R=15 - 1=14$.

Step2: Calculate class width for 20 classes

The class width $w=\frac{R}{n}$, where $n = 20$. So $w=\frac{14}{20}=0.7$. We can round it up to 1 for simplicity.

Step3: Create frequency distribution

We create 20 classes starting from 1 - 2, 2 - 3, …, 15 - 16. Count the number of data points falling into each class. For example, for the class 1 - 2, the number of 1s in the data - set is 4, so the frequency of the 1 - 2 class is 4.

Step4: Plot the histogram

Based on the frequency distribution, we plot the classes on the x - axis and the frequencies on the y - axis to get the histogram.

Since the question only asks to choose the correct graph for 20 classes and no graphs are provided here, we assume you would use the above - mentioned steps to check the options. In general, the best graph for displaying data depends on how well it shows the distribution pattern. With 5 classes, the data may be too grouped and lose some details. With 20 classes, if the data is not very dense, the graph may be too fragmented. 10 classes often strike a good balance in many cases to show the overall shape of the distribution (such as whether it is symmetric, skewed, etc.). But without seeing the actual graphs, we can't definitively say which one of the 5, 10, or 20 class graphs is the best for this data - set.

Since no graphs are given for the "Choose the correct graph below" part, we can't provide a specific answer for that part. But the steps to create the 20 - class histogram are as above.

Answer:

No answer can be provided for the "Choose the correct graph below" part as no graphs are given. The steps to create a 20 - class histogram are shown above.