You will need 9 pennies or other small objects for this acti

You will need 9 pennies or other small objects for this activity The following data set is represented on the dot plot below with pennies Mean 6 Median 6 Arrange real pennies (or other small objects) along the number line below to represent the same data set Show data sets with the same median, different means. Rearrange your pennies so that they represent new data sets that still have median 6 but have means less than 6. To help you do this, think about the mean as the balance point. List your new data sets 1. 2. Rearrange your pennies so that they represent new data sets that still have median 6 but have means greater than 6. To help you do this, think about the mean as the balance point. List your new data sets.

Solution

This is not so much though. You just have to change a little bit your data.

(1) your data are following ---

4,5,5,6,6,6,7,7,8

Here Mean = 6

Median = 6

Now for mean less than 6, we have to just decrease the sum of data a little bit without changing the number of data.

New data set is following -

3,5,5,6,6,6,7,7,8

Here mean = 53/9 = 5.89

Median = 6

(2) for means greater than 6, we have to just increase the data a little bit.

New set -

4,5,5,6,6,6,7,7,9