Gather a set of data. Choose a small sample, between 10 and 20 pieces of data, and a simple value to measure, such as the ages of visitors in a park, or the number of text messages each person in your family receives in one day.

Choose a display for your data, such as a frequency table, line plot, histogram, or bar graph. Display your data in your chosen format in a way that is misleading. You may use inconsistent intervals, an uneven scale, and so on.
Use your display to draw a misleading inference about the data.

I need help with an example of at least one because I do not understand what they mean by the simple measure

To gather a set of data, let's consider a scenario where we want to analyze the number of hours people spend exercising per week. We can randomly select a small sample of 15 individuals and ask them to report their weekly exercise hours.

Once we have the data, we can choose a display format that best suits our purpose of misleading inference. In this case, let's create a histogram to represent the data. However, to make the inference misleading, we will manipulate the scale and intervals.

Here is a possible set of data:

3, 4, 4, 5, 5, 6, 6, 7, 7, 8, 8, 9, 12, 13, 15

To construct the histogram, we divide the data into intervals. In this misleading display, we will use uneven intervals: 0-4, 5-9, 10-14, and 15-19. We will also adjust the scale on the vertical axis to exaggerate the values.

Now, let's create the histogram:

Interval Frequency
0-4 |■■■| 3
5-9 |■■■■■■■■■■■■| 12
10-14 |■| 1
15-19 |■■■| 3

In this misleading display, the manipulated scale on the vertical axis makes it appear that the majority of individuals spend 5-9 hours exercising weekly. The inference could be that people in the sample exercise moderately or even excessively.

However, this inference is misleading because when we look at the original data, we can see that most individuals spend fewer hours exercising per week, with only a few outliers exceeding 9 hours.

It is crucial to note that creating misleading visualizations should only be done for educational purposes and should not be used to deceive or misinform others.