Answer:
Mean = 212.93
Median = 231
Mode = 231
Mid range = 192.5
(B) Yes, the time of 0 hours is very unusual. It could represent a flight that was aborted.
Step-by-step explanation:
We are given the following data set:
8, 92, 231, 189, 169, 267, 196, 381, 257, 231, 385, 330, 219, 239, 0
Formula:
a)
[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]
[tex]Mean =\displaystyle\frac{3194}{15} = 212.93[/tex]
b)
[tex]Median:\\\text{If n is odd, then}\\\\Median = \displaystyle\frac{n+1}{2}th ~term \\\\\text{If n is even, then}\\\\Median = \displaystyle\frac{\frac{n}{2}th~term + (\frac{n}{2}+1)th~term}{2}[/tex]
Sorted data:
0, 8, 92, 169, 189, 196, 219, 231, 231, 239, 257, 267, 330, 381, 385
[tex]\text{Median} = \dfrac{15 + 1}{2}^{th}\text{ term} = 8^{th}\text{ term} = 231[/tex]
Mode is the most frequent observation in the data.
Mode = 231
It repeated 2 times.
[tex]\text{Mid range} = \dfrac{\text{Maximum value + Minimum value}}{2}\\\\= \dfrac{385 + 0}{2} = 192.5[/tex]
0 is an outlier to the given dataset. Thus,
Option (B) Yes, the time of 0 hours is very unusual. It could represent a flight that was aborted.