QUESTION IMAGE
Question
fish tanks
number of tanks
water temperature (°f)
complete the sentences.
the distribution of the tanks water temperatures is best described as
symmetric with low outliers. so, the
is a more appropriate
measure of variation than the
Step1: Analyze the distribution type
The distribution is symmetric. For symmetric distributions, the standard deviation is a more appropriate measure of variation when there are no extreme outliers. The range is affected by outliers.
Step2: Recall measure of variation properties
The standard deviation takes into account how far each data point is from the mean and is suitable for symmetric distributions without extreme outliers. The range is simply the difference between the maximum and minimum values and is highly influenced by outliers.
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The distribution of the tanks' water temperatures is best described as symmetric. So, the standard deviation is a more appropriate measure of variation than the range.