Chapter SR31, Problem 8P

Solution

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

Mean $=8.6$

Median $=9$

Mode $=8and9$

Range $=4$

Given:

Weekly quiz scores: $8,9,8,10,10,7,9,8,9,9,10,7,8,6,10,9,9,8,8,10$

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:

Weekly quiz scores: $8,9,8,10,10,7,9,8,9,9,10,7,8,6,10,9,9,8,8,10$

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

  $\begin{array}{l}=\frac{8+9+8+10+10+7+9+8+9+9+10+7+8+6+10+9+9+8+8+10}{20}\\ =\frac{172}{20}\\ =8.6\end{array}$

Mean $=8.6$

Median $=middlevalueofyourdatasetwheninorderfromleasttogreatest$

Least to greatest order = $6,7,7,8,8,8,8,8,8,9,9,9,9,9,9,10,10,10,10,10$

Median $=\frac{9+9}{2}=\frac{18}{2}=9$

Mode $=datathatoccursmost$

Mode $=8and9$

Range $=Highestvalue-LowestValue$

  $\begin{array}{l}=10-6\\ =4\end{array}$

Range $=4$