Chapter SR31, Problem 6P

Solution

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

Mean $=31.71$

Median $=40.5$

Mode $=42$

Range $=67$

Given:

Ages of family members: $41,45,8,10,40,44,3,5,42,42,13,14,67,70$

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 family members: $41,45,8,10,40,44,3,5,42,42,13,14,67,70$

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

  $\begin{array}{l}=\frac{41+45+8+10+40+44+3+5+42+42+13+14+67+70}{14}\\ =\frac{444}{14}\\ =31.71\end{array}$

Mean $=31.71$

Median $=middlevalueofyourdatasetwheninorderfromleasttogreatest$

Least to greatest order = $3,5,8,10,13,14,40,41,42,42,44,45,67,70$

Median $=\frac{40+41}{2}=\frac{81}{2}=40.5$

Mode $=datathatoccursmost$

Mode $=42$

Range $=Highestvalue-LowestValue$

  $\begin{array}{l}=70-3\\ =67\end{array}$

Range $=67$