QUESTION IMAGE
Question
two histograms showing the number of pets owned by boys and girls in a science class are each skewed left. which measure of variability should be used to describe the data?
mean
median
standard deviation
interquartile range
Step1: Recall measures of variability
Measures of variability include standard deviation, inter - quartile range. Mean and median are measures of central tendency.
Step2: Consider skewed data
For skewed data (left - skewed in this case), the inter - quartile range is a more robust measure of variability. Standard deviation is affected by extreme values (which are more prominent in skewed data).
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interquartile range