Answer:
To create a frequency distribution, we first need to determine the range of the data. The smallest measurement is 3.4 inches and the largest is 5.4 inches, so the range is 5.4 - 3.4 = 2 inches. To create 6 classes with a width of 0.4 inches, we divide the range by 0.4 and round up to the nearest integer:
Number of classes = (range / class width) rounded up = 2 / 0.4 = 5
So we will use 5 classes with a width of 0.4 inches each. The classes and their corresponding frequency counts are:
Class 1: 3.4 - 3.8 | Frequency: 3
Class 2: 3.9 - 4.3 | Frequency: 8
Class 3: 4.4 - 4.8 | Frequency: 6
Class 4: 4.9 - 5.3 | Frequency: 7
Class 5: 5.4 - 5.8 | Frequency: 1
To create a histogram, we can plot the frequency counts on the y-axis and the class intervals on the x-axis. The shape of the histogram can give us information about the distribution of the data. In this case, the histogram is bimodal, meaning there are two peaks in the data. This suggests that the data may be composed of two separate subpopulations.