Answer:
Mean = 3853.93
Median = 1962
Mid range = 5762
Step-by-step explanation:
We are given the following information in the question:
750, 3400, 1962, 700, 203, 900, 8662, 260, 1479, 5905, 9239, 690, 9822, 11321, 2516
[tex]Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}[/tex]
Mean = [tex]\frac{57809}{15} = 3853.93[/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: 203, 260, 690, 700, 750, 900, 1479, 1962, 2516, 3400, 5905, 8662, 9239, 9822, 11321
Since n is odd,
Median = [tex]8^{th}\text{ term} =1962[/tex]
Mode is the observation with highest frequency. But in this data all the values appeared once.
Mid range =
[tex]\displaystyle\frac{\text{Highest value + Lowest value}}{2} = \frac{11321+203}{2} = 5762[/tex]
