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=(14+13+16+15+12+14+13+15)/(8) \\ \mu=(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:

`(14+14)/(2)=(28)/(2)=14`