Chapter SR31, Problem 2P

Solution

Find the mean, median, mode(s), and range of the data.

Mean $=16.21$

Median $=16$

Mode $=16$

Range $=3$

Given:

Ages of new drivers: $15,15,15,15,16,16,16,16,16,17,17,17,18,18$

Concept used:

• Mean is the sum of the values divided by the number of values.
• Median is the middle value of your data set when in order from least to greatest.
• The mode is the number that occurred the most often.
• The range is the difference between the highest and lowest values

Calculation:

Ages of new drivers: $15,15,15,15,16,16,16,16,16,17,17,17,18,18$

Mean $=\frac{sumofallvalues}{no.ofvalues}$

  $\begin{array}{l}=\frac{15+15+15+15+16+16+16+16+16+17+17+17+18+18}{14}\\ =\frac{227}{14}\\ =16.21\end{array}$

Mean $=16.21$

Median $=middlevalueofyourdatasetwheninorderfromleasttogreatest$

Least to greatest order = $15,15,15,15,16,16,16,16,16,17,17,17,18,18$

Median $=\frac{16+16}{2}=\frac{32}{2}=16$

Mode $=datathatoccursmost$

Mode $=16$

Range $=Highestvalue-LowestValue$

  $\begin{array}{l}=18-15\\ =3\end{array}$

Range $=3$