Explain the measures of central tendency.
Calculate the mean, median, and mode of a data set.
Calculate the range, quartiles, and interquartile range of a data set.
Construct a 5-number summary of a data set.
The range is the maximum value minus the minimum value.
113333355
Maximum = 5 | Minimum = 1
Range = 5 - 1
Range = 4
Mode
The mode is the most commonly occurring value in the data set.
113333355
Unimodal | Mode = 3
222566777
Multimodal | Mode = 2, 7
Mean (Average)
The (arithmetic) mean is the sum of all values divided by the number of values in the
data set.
113333355
Average = (1 + 1 + 3 + 3 + 3 + 3 + 3 + 5 + 5) / 9
Average =
Average = 3
Means and Outliers
1 1 1 1 3 3 5 5 7 8 289 300
Mean = = 56.6
Does 56.6 describe a “typical” value in this dataset?
, Median
The median divides a data set into two equal parts.
133567899
1335 6 7899
Median = 6
1335677899
1335 67 7899
Median = (6 + 7) / 2
Median = 6.5
Normal Distribution
Relative Placement
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