Worksheet 14: When means mislead#
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Multiple modes:
a. Should the median be influenced by multiple modes?
b. Should quantiles be influenced by multiple modes?
c. Should the standard deviation be influenced by multiple modes?
How is the phenomenon of multi-modal data related to conditional probabilities?
Could the covid onset data be multimodal? Suppose we make recommendations for isolation time after close contact based on this data—in what sense is this problematic? What are the tradeoffs that we have to make?
How do you think skew affects the mean relative to the median? If the distribution is skewed right, do you expect the median to be larger, smaller, or about the same as the median?
If there are outliers, what can we use as an alternative measurement of variability?