Question

below are a different driver times on the same route. did the bus driver meet the company's goal? 44.4, 43.8 , 45.6, 45.9, 44.1, 45.6, 44.0, 44.9, 45.8

Answer 1

The given data set is,

44.4, 43.8 , 45.6, 45.9, 44.1, 45.6, 44.0, 44.9, 45.8​.

a).

The mean can be determined as,

`\begin{gathered} M=(44.4+43.8+45.6+45.9+44.1+45.6+44.0+44.9+45.8)/(9) \\ =(404.1)/(9) \\ =44.9 \end{gathered}`

Thus, the required mean is 44.9 minutes.

b).

The MAD can be determined as,

`\begin{gathered} \text{MAD}=(1)/(n)\Sigma\lvert x_i-M\rvert \\ =(0.5+1.1+0.7+1.0+0.8+0.7+0.9+0+0.9)/(9) \\ =(6.6)/(9) \\ =0.73 \end{gathered}`

Thus, the required value of MAD is 0.73.