Answer :
Final answer:
To solve for outliers in a data set, calculate the interquartile range (IQR) and use the 1.5 * IQR rule to determine if there are any outliers. In this specific data set, there are no outliers.
Explanation:
To solve for outliers in a data set, we need to determine if there are any values that are significantly different from the rest of the data. One way to do this is by using the 1.5 * IQR rule. First, find the interquartile range (IQR) by subtracting the first quartile (Q1) from the third quartile (Q3). In this case, Q1 = 15 and Q3 = 46, so IQR = Q3 - Q1 = 46 - 15 = 31. Then, calculate the lower bound by subtracting 1.5 times the IQR from Q1: Lower Bound = Q1 - (1.5 * IQR) = 15 - (1.5 * 31) = -27.5. The upper bound is found by adding 1.5 times the IQR to Q3: Upper Bound = Q3 + (1.5 * IQR) = 46 + (1.5 * 31) = 95.5. Any values below the lower bound or above the upper bound are considered outliers. In this case, the data set does not have any outliers.
Learn more about Outliers in a data set here:
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