The shape, location, and spread of distributions of numerical data
Distribution shape: symmetry, skew and modes; Mean/median choice and outliers; Box plots, quartiles, range/IQR, standard deviation; 1.5-IQR outlier fences; Sample statistics versus population parameters and sample-size reliability
Example 1
Find the mean of 5,6,7,8,9.
Show worked answer
Answer: 7
For equally spaced symmetric values, the mean is the central value; their total divided by 5 gives the same result.
Example 2
Find the median of 9,5,7,6,8.
Show worked answer
Answer: 7
Order the five values; the third is the median.
Example 3
Find the range of 3,4,5,6,7.
Show worked answer
Answer: 4
Range = maximum − minimum.
Put it into practice.
Try a fresh round with worked feedback. Create an account whenever you want to save future progress.