Final answer:
The given data set has a roughly symmetrical shape with a hump in the middle, resembling a bell-shaped curve. This indicates a normal distribution.
Step-by-step explanation:
The given set of data is: 28, 12, 22, 32, 56, 37, 41, 63, 46, 35, 51, 55, 69, 48.
To describe the shape of the distribution, we can create a histogram. A histogram is a type of bar graph where the bars represent different ranges of data values. By analyzing the heights of the bars in the histogram, we can determine the shape of the distribution.
In this case, the histogram would show that the data has a roughly symmetrical shape with a peak around the middle values. It would have a hump in the middle and gradually decrease on both sides, resembling a bell-shaped curve. This indicates a normal distribution.