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. create a histogram with 5 classes. choose the correct graph below.

Explanation:

Step1: Find the range of the data

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

Step2: Calculate the class - width

Since we want 5 classes, the class - width $w=\frac{R}{5}=\frac{14}{5}=2.8$. We usually round up the class - width, so $w = 3$.

Step3: Determine the class intervals

The class intervals are: $1 - 3$, $4 - 6$, $7 - 9$, $10 - 12$, $13 - 15$.

Step4: Count the frequencies for each class

For the class $1 - 3$: count the number of data points in this range. There are 4 values (1, 3, 3, 3).
For the class $4 - 6$: there are 2 values (4, 6).
For the class $7 - 9$: there are 7 values (7, 7, 9, 9, 9, 7, 9).
For the class $10 - 12$: there are 5 values (10, 10, 11, 10, 12).
For the class $13 - 15$: there are 4 values (15, 15, 14, 13).

Step5: Match with the given histograms

Based on the above - calculated frequencies for each class, we can match with the correct histogram.

Answer:

(Without seeing the actual numerical values of frequencies in the given histograms A, B, C, D, we can't give a definite letter - answer. But the above steps show how to create the correct histogram.)