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Chapter 5 · Data Analysis: A Concise Overview of Statistical Techniques · Slide 169/274

Measures of Central Tendency

Handles outliers well – often the most accurate depiction of a group.

5.1.3 · Summarizing Data NumericallyMeasures of Central Tendency

Measures of Central Tendency


Median
x̃ = x_(n+1)/2 for odd n; ½(x_n/2 + x_n/2+1) for even nfor odd nfor even n
Advantages

Handles outliers well – often the most accurate depiction of a group.

Splits the data into two equally sized groups.

Disadvantages

Harder to compute: data must first be sorted.

Less well known; many confuse “median” with “average”.

50% below50% above
The median is the middle element
of a sorted list
121212131313M = 12.5 years 121212131334M = 12.5 years
QUESTIONSTAR · Dr. Paul Marx169 / 274
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