Mean, Median or Mode?
What Is That Segment?
When at least two distinct points are in the dot plot, a segment on the number line appears. What do the length and endpoints of that segment mean for the distribution? Move the points in the dot plot and try to obtain the longest segment possible. Is the length of the segment influenced by the points in the middle of the distribution?
Activity 1 - Mean
Use the app above to create a dot plot, then show the mean of your data. Move the points that represent the minimum and maximum values of your dataset, then move other points. What can you say about the mean of your data?
Activity 2 - Mean
Use the app above to create the dot plot of the following data set: , then calculate the mean of the data set and check if your result is correct by displaying its value in the app. Do you think that the mean can be representative of this data set? Explain your answer.
Activity 1 - Median
Use the app above to create a dot plot, then show the median of your data. Move the points that represent the minimum and maximum values of your dataset. What can you say about the median of your data?
Activity 2 - Median
Use the app above to create a dot plot, then show the median of your data. Move some points that are not the minimum and maximum values of your dataset. What can you say about the median of your data?
Activity 3 - Median
Use the app above to create a dot plot, then show the median of your data. Compare the position of the median when your dataset contains an even and an odd number of data. What can you say about it?
Activity - Mode
Use the app above to create a dot plot representing a bimodal dataset. Note: Bimodal means "with two modes". Explain how you have created the dot plot.
Activity - Comparing Means
Use the app above to create a dot plot such that the mean, the median and the mode of the dataset are all the same. Do you notice a pattern in the distribution of points in the plot? Explain your answer.