  ### Home > MC1 > Chapter 5 > Lesson 5.2.3 > Problem5-68

5-68.

Consider this set of data: $7, 8, 10, 11$, and the calculations below.

 $\left. \begin{array} { l } { \text { Mean: } \frac { 7 + 8 + 10 + 11 } { 4 } = \frac { 36 } { 4 } = 9 } \\ { \text { Median: } \frac { 8 + 10 } { 2 } = 9 , \text { No Mode} } \end{array} \right.$

1. Add the number $9$ to the data. How do the mean, median, and mode change?

Remember that the mean is the average, the median is the middle number, and the mode is the most repeated number. It helps to put the data in order from least to greatest!

Here, there are no changes to any of the measures of central tendency.

2. Add the number $10$ to the original data. How do the mean, median, and mode change?

Using the information from part (a), do you notice any changes in the data?

Everything changes in part (b). The mean becomes $9.2$ and the median is now $10$. Did you find the new mode?

3. What conclusion can you make about how adding new data will affect the measures of central tendency?

Do you see any patterns in parts (a) and (b)? Do you think adding data will always change the measures of central tendency (mean, median, and mode)?