[url=https://www.geogebra.org/m/fzycgsdk][i]Mean[/i], [i]median [/i]and [i]mode[/i][/url] are called [i]measures of central tendency[/i] because in general their values tend to be near the center of the distribution. These "measures" also describe the magnitude of data using a single value, instead of the whole dataset.[br][br]Explore the app below, then press the [i]Reset [/i]button next to the number line and start over with the guided explorations described below the applet.
When at least two distinct points are in the dot plot, a segment on the number line appears.[br]What do the length and endpoints of that segment mean for the distribution?[br][br]Move the points in the dot plot and try to obtain the longest segment possible.[br]Is the length of the segment influenced by the points in the middle of the distribution?
Use the app above to create a dot plot, then show the [i]mean [/i]of your data.[br]Move the points that represent the minimum and maximum values of your dataset, then move other points.[br]What can you say about the mean of your data?
Use the app above to create the dot plot of the following data set: [math]\left\{1,1,2,3,3,3,3,39,40,40\right\}[/math], then calculate the [i]mean[/i] of the data set and check if your result is correct by displaying its value in the app.[br][br]Do you think that the mean can be representative of this data set? [br]Explain your answer.
Use the app above to create a dot plot, then show the [i]median [/i]of your data.[br]Move the points that represent the minimum and maximum values of your dataset.[br]What can you say about the median of your data?
Use the app above to create a dot plot, then show the [i]median [/i]of your data.[br]Move some points that are not the minimum and maximum values of your dataset.[br]What can you say about the median of your data?
Use the app above to create a dot plot, then show the [i]median [/i]of your data.[br]Compare the position of the median when your dataset contains an even and an odd number of data.[br]What can you say about it?
Use the app above to create a dot plot representing a [i]bimodal [/i]dataset.[br]Note: [i]Bimodal [/i]means "with two modes".[br]Explain how you have created the dot plot.
Use the app above to create a dot plot such that the [i]mean[/i], the [i]median [/i]and the [i]mode [/i]of the dataset are all the same.[br]Do you notice a pattern in the distribution of points in the plot?[br]Explain your answer.