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A school sells boxes of cookies each year for a charity fund. The data set shows the number of boxes the 10 families living on Willow Avenue buy, on average, every year. Does this data have negative, positive, or zero skew?
$\{2,3,2,2,0,5,2,1,1,3\}$
This data set shows skew.
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\(\boxed{\text{The data has positive skew}}\)
Step 1 :Given data set is \{2, 3, 2, 2, 0, 5, 2, 1, 1, 3\}
Step 2 :Calculate the mean of the data set: \(\frac{2+3+2+2+0+5+2+1+1+3}{10} = 2.1\)
Step 3 :Calculate the median of the data set: 2.0
Step 4 :Compare the mean and median: since the mean (2.1) is greater than the median (2.0), the data set is positively skewed
Step 5 :\(\boxed{\text{The data has positive skew}}\)