Which measure of center is best??

Sam's Test Scores

Consider the Mean. a) How many data values are less than the mean b) How many data values are greater than the mean?

Do you believe that the mean is a good measure of the center of Sam's Test scores? Explain your answer.

Consider the Median. a) How many data values are less than the median? b) How many data values are greater than the median?

Do you believe that the median is a good measure of the center of Sam's Test scores? Explain your answer.

Consider the Mode. a) How many data values are less than the mode? b) How many data values are greater than the mode?

Do you believe that the mode is a good measure of the center of Sam's Test scores? Explain your answer.

Which measure of center best represents this data? Explain you choice.

Move some of the light blue dots so that the data has more smaller numbers, similar to the image below.

Now drag the light blue points so that the data has more large numbers, similar to the image below.

Now move some of the light yellow points so the data is almost balanced, but has a few values much bigger than the rest.

Which calculation do you believe is the best measure of center for data, if the data is imbalanced?

Which calculation do you believe is the best measure of center for data that is balanced? Explain your answer.