Question

1. The data shows the time in seconds for 8 runners competing in the 100-meter dash last weekend. 14, 13, 16, 15, 12, 14, 13, 15 Which statement about the data is true? O A. The mean is 14, and the median is 14. B. The mean is 13.5, and the median is 14. O C. The mean is 14, and the median is 4. O D. The mean is 13.5, and the median is 4.

Answer 1

The mean is given by:

$\begin{gathered} \mu=\frac{14+13+16+15+12+14+13+15}{8} \\ \mu=\frac{112}{8} \\ \mu=14 \end{gathered}$

The median is the middle number in a list of values. If there is an even number of values, then average the middle two values together:

$\mleft\lbrace12,13,13,14,14,15,15,16\mright\rbrace$

The median is given by:

$\frac{14+14}{2}=\frac{28}{2}=14$