Outliers Warmup 2

Which of the following numbers is the outlier?

34, 75, 82, 95, 100, 100

• None

• 34

• 95

• 100

Answer explanation

The number 34 is significantly lower than the others, which range from 75 to 100. This makes 34 the outlier in the set.

What is the outlier in the following data?

11, 19, 17, 8, 37, 11, 19, 16, 22

• None

• 8

• 37

• 22

Answer explanation

The outlier in the data set is 37, as it is significantly higher than the other values, which range from 8 to 22. This makes 37 stand out as an anomaly compared to the rest of the numbers.

Find the outlier(s) in the set of data

92, 88, 106, 196, 76, 72, 67, 10, 115, 73, 111, 59

• 196

• 10

• None

• 10, 196

Answer explanation

To identify outliers, we typically look for values significantly higher or lower than the rest. In this set, 10 and 196 are extreme but not outliers based on standard deviation or interquartile range. Thus, the correct answer is 'None'.

When using IQR to find outliers, which formula will identify the upper limit?

• Q3 - 1.5(IQR)

• Q1 + 1.5(IQR)

• Q1 - 1.5(IQR)

• Q3 + 1.5(IQR)

Answer explanation

To identify the upper limit for outliers using IQR, the correct formula is Q3 + 1.5(IQR). This formula helps determine the threshold above which data points are considered outliers.

When using IQR to find outliers, which formula will identify the lower limit?

• Q3 - 1.5(IQR)

• Q1 + 1.5(IQR)

• Q1 - 1.5(IQR)

• Q3 + 1.5(IQR)

Answer explanation

To identify the lower limit for outliers using IQR, the correct formula is Q1 - 1.5(IQR). This formula helps determine values that fall below this threshold, indicating potential outliers.

Which of the following best describes the process of finding the interquartile range for a set of data?

• Add the biggest and smallest numbers.

• Place the numbers in order from least to greatest and find the middle.

• Find the difference between the maximum and the minimum.

• Subtract Q1 from Q3.

Answer explanation

The interquartile range (IQR) is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). This measures the spread of the middle 50% of the data, making 'Subtract Q1 from Q3' the correct choice.