Answer: Derrick’s mean test score= 74.4
Derrick’s median test score = 81.5
Better picture of his scores is given by Median.
Step-by-step explanation:
The given data : 25, 40, 68, 85, 95, 98, 70, 78, 85, 100
[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Number of observations}}\\\\\Rightarrow\ \text{Mean}=\dfrac{744}{10}=74.4[/tex]
For Median , Arrange the data in order
25, 40, 68, 70, 78, 85, 85, 95, 98, 100
Median = Mean of two middle most value
[tex]\text{Median}=\dfrac{78+85}{2}=81.5[/tex]
Since the data set has outlier (25) and mean is affected by outlier.
So the better picture of his scores given by median value.
