Lesson

So far we have learned about three measures of central tendency: the mean, the median, and the mode. These three measures all give us an approximation of where the center is in a data set.

So when we are able to recognize the center of data sets by finding the mean, median and mode, we can start to compare and make judgments about different data sets. We can say which one has the greatest mode, the least median and so on.

For each of the following statements, decide whether they are true or false:

If two sets of data have the same median then the data sets must themselves be the same

True

AFalse

BTrue

AFalse

BIf two sets of data have very different modes then the greatest values cannot be the same

True

AFalse

BTrue

AFalse

B

Select the data set from each of the options below that has:

The least mode.

$3,9,18,9,65,13$3,9,18,9,65,13

A$5,12,16,16,86,3$5,12,16,16,86,3

B$3,9,18,9,65,13$3,9,18,9,65,13

A$5,12,16,16,86,3$5,12,16,16,86,3

BThe greatest median?

$3,9,13,18$3,9,13,18

A$9,16,16,65,86$9,16,16,65,86

B$3,9,13,18$3,9,13,18

A$9,16,16,65,86$9,16,16,65,86

B

Consider the two graphs. Select the dot plot that shows the least mode.

A B A B

Represent the mean of a data set graphically as the balance point