Outliers in Data Sets
Grade 10 Math worksheet on identifying and analyzing outliers in data sets, including calculations for interquartile range (IQR).
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Outliers in Data Sets
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Read each question carefully and answer to the best of your ability. Show all your work for calculations.
An outlier is an observation point that is distant from other observations. An outlier may be due to variability in the measurement or it may indicate experimental error; the latter are sometimes excluded from the data set. Outliers can skew statistical results and give a misleading impression of the data.
1. An outlier is a data point that is significantly from other data points in a set.
2. Outliers can greatly affect the and of a data set.
3. The (IQR) is often used to identify outliers.
Consider the following data set: 5, 7, 9, 10, 12, 13, 15, 20, 50
1. What is the median of this data set?
2. Calculate the first quartile (Q1) and the third quartile (Q3).
3. Calculate the Interquartile Range (IQR).
4. Use the IQR method to determine if there are any outliers in the data set. Show your calculations for the upper and lower bounds.
1. Which of the following measures of central tendency is most affected by an outlier?
Median
Mode
Mean
All are equally affected
1. An outlier should always be removed from a data set.
True
False
A scientist measures the growth of a plant over 7 days in centimeters: 2.1, 2.3, 2.2, 2.4, 2.1, 2.2, 4.5. Identify any potential outliers in this data set using the IQR method. Explain your reasoning.
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