Comparing Measures of Center & Variation

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What is the median in a data set?

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The median is the middle value when the data set is ordered from least to greatest. If there is an even number of values, the median is the average of the two middle values.

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CCSS.6.SP.B.5C

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What does variation in a data set refer to?

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Variation refers to how spread out the values in a data set are. It indicates the degree of difference between the values.

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How do you determine which data set has a greater variation?

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You can compare the range (difference between the highest and lowest values) or look at the interquartile range (IQR) to assess variation.

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CCSS.7.SP.B.4

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What is a double box plot?

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A double box plot is a graphical representation that displays the distribution of two data sets side by side, allowing for comparison of their medians, ranges, and variations.

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CCSS.HSS.ID.A.3

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What is a dot plot?

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A dot plot is a simple visual representation of data where each value is represented by a dot above a number line, showing frequency and distribution.

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CCSS.6.SP.B.4

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What does it mean if one data set is centered around a higher median than another?

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It means that the typical value of the first data set is greater than that of the second data set.

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CCSS.6.SP.A.2

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What is the significance of comparing medians in data sets?

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Comparing medians helps to understand the central tendency of different data sets, indicating which set has higher or lower typical values.

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CCSS.HSS.ID.A.3

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What does it mean if a data set has a greater range?

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A greater range indicates that there is a larger difference between the highest and lowest values in the data set, suggesting more variability.

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CCSS.6.SP.A.2

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How can you tell if one data set is more consistent than another?

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A data set is more consistent if its values are closer together, resulting in a smaller variation or range.

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CCSS.7.SP.B.4

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What is the purpose of using double plots in data analysis?

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Double plots allow for direct comparison of two data sets, making it easier to analyze differences in central tendency and variation.

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CCSS.HSS.ID.A.3