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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: \( 6,5,7,8,5,6,7 \), \( 9,8,6 \)

Ask by Lambert Vaughn. in the United States
Mar 16,2025

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**Dataset 1: Number of minutes spent reading each night** - **Mean:** 33 minutes - **Variance:** 2 - **Standard Deviation:** ≈1.414 minutes - **Outliers:** 31 and 35 minutes **Dataset 2: Number of fish in each fish tank** - **Mean:** 6.5 fish - **Variance:** ≈1.833 - **Standard Deviation:** ≈1.353 fish - **Outliers:** None

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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.

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