Answer :
Answer:
Mean = 40.75
Median = 36.5
No mode.
Step-by-step explanation:
We are given the following data:
52, 25, 15, 0, 104, 44, 60, 30, 33, 81, 40, 5
Formula:
[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]
[tex]Mean =\displaystyle\frac{489}{12} = 40.75[/tex]
[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, 5, 15, 25, 30, 33, 40, 44, 52, 60, 81, 104
[tex]\text{Median} = \dfrac{6^{th}+7^{th}}{2}=\dfrac{33+40}{2} =36.5[/tex]
Mode is the most frequent observation in the data.
Since all the observations repeated exactly once, there is no mode.