Find the measures of variability and any outliers for each set of data. 5. the number of minutes spent reading each night: \( 31,33,32,34,35,33 \) 6. the number of fish in each fish tank: \( 6,5,7,8,5,6,7 \), \( 9,8,6 \)
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To find the measures of variability, we can calculate the range, variance, and standard deviation for each set of data. For the reading minutes \( 31, 33, 32, 34, 35, 33 \), the range is \( 35 - 31 = 4 \). The variance is approximately \( 1.33 \), and the standard deviation is about \( 1.15 \). For outliers, using the 1.5 IQR rule, there are none in this set. For the fish tank counts \( 6, 5, 7, 8, 5, 6, 7, 9, 8, 6 \), the range is \( 9 - 5 = 4 \). The variance comes out to around \( 1.56 \), leading to a standard deviation of approximately \( 1.25 \). Again applying the IQR rule, no outliers are found in this data set either.