Interquartile Range Worksheet

Printable “Statistics” Worksheets:
Mean, Median, Mode, Range
Mean Absolute Deviation
Interpret Mean Absolute Deviation
Interpret Median
Interquartile Range (IQR)
Box Plot (Box-and-whisker Plot)

Free printable and online worksheets to help Grade 6 students review how to calculate the Interquartile Range (IQR) of a data set. Calculate the median of the data and describe the variability in the data by calculating the interquartile range. How to interpret the IQR of a data set.

Interquartile Range

The interquartile range (IQR) is a measure of statistical dispersion and variability. It describes the range within which the central 50% of the data points lie. Specifically, the IQR is the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset. It provides a measure of the spread of the middle half of the data and is less sensitive to outliers than the range.

Calculation of the IQR:

1. Sort the Data:
   Arrange the data points in ascending order.
2. Determine the Quartiles:
   First Quartile (Q1): The median of the lower half of the dataset (excluding the median if the number of data points is odd).
   Third Quartile (Q3): The median of the upper half of the dataset (excluding the median if the number of data points is odd).
   
3. Calculate the IQR:
   IQR = Q3 - Q1

Interpretation of the IQR

1. Spread of Middle 50%:
   The IQR measures the spread of the central 50% of the data. In the example above, the central 50% of the data points lie within a range of 5 units (from 2.5 to 7.5).
2. Robustness to Outliers:
   The IQR is not affected by extreme values or outliers, making it a robust measure of variability. Unlike the range, which considers the extreme values, the IQR focuses on the middle portion of the data.

IQR is a valuable tool for understanding the spread of data within the central portion of your dataset, making it a good choice for analyzing data with potential outliers or skewness.

Have a look at this video if you need to review how to calculate the interquartial range of a dataset.

• Interquartile Range (IQR)

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More Interquartile Range Worksheets

Printable
(Answers on the second page.)
Interquartile Range Worksheet #1 (step-by-step)
Interquartile Range Worksheet #2 (practice)
Interquartile Range Worksheet #3 (interpret)

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Interquartile Range

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