Chapter SR31, Problem 9P

Solution

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

Mean $=15$

Median $=14$

Mode $=10,18and22$

Range $=25$

Given:

People on a bus: $9,14,5,22,18,30,6,25,18,12,15,10,8,22,10,11,20$

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:

People on a bus: $9,14,5,22,18,30,6,25,18,12,15,10,8,22,10,11,20$

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

  $\begin{array}{l}=\frac{9+14+5+22+18+30+6+25+18+12+15+10+8+22+10+11+20}{17}\\ =\frac{255}{17}\\ =15\end{array}$

Mean $=15$

Median $=middlevalueofyourdatasetwheninorderfromleasttogreatest$

Least to greatest order = $5,6,8,9,10,10,11,12,14,15,18,18,20,22,22,25,30$

Median $=14$

Mode $=datathatoccursmost$

Mode $=10,18and22$

Range $=Highestvalue-LowestValue$

  $\begin{array}{l}=30-5\\ =25\end{array}$

Range $=25$