Answer:
Median = [tex]6.9[/tex] miles, Mean = [tex]8.54[/tex] miles, No modes
Step-by-step explanation:
Fastly, we write the number of miles ran must be sorted into ascending order.
[tex]1.6,2.8,3.4,5.3,5.5,6.6,7.2,8.3,8.7,12.5,18.6,22[/tex]
Here, the number of term's is 12 (even)
Thus, Median = simple average of middle two numbers.
Median = [tex]\frac{6.6+7.2}{2}[/tex]
[tex]=6.9[/tex] miles
Therefore, Median = [tex]6.9[/tex] miles
The mean of the given data is the average of the given 12 values.
mean = [tex]\frac{1.6+2.8+3.4+5.3+5.5+6.6+7.2+8.3+8.7+12.5+18.6+22}{12}[/tex]
[tex]= \frac{102.48}{12}[/tex]
[tex]= 8.54[/tex] miles
Therefore, Mean = [tex]8.54[/tex] miles
The mode is where the data peaks, the most frequently seen number. This data set does not have a mode. It is a very small sample and does not show a normal curve.