Measures of Central Tendency

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What is the definition of Measures of Central Tendency?

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Measures of Central Tendency are statistical measures that describe the center or typical value of a dataset, commonly represented by the mean, median, and mode.

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CCSS.6.SP.A.3

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What is the Mean?

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The mean is the average of a set of numbers, calculated by adding all the values together and dividing by the number of values.

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CCSS.6.SP.B.5C

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What is the Median?

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The median is the middle value in a dataset when the numbers are arranged in ascending order. If there is an even number of values, the median is the average of the two middle numbers.

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CCSS.6.SP.B.5C

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What is the Mode?

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The mode is the value that appears most frequently in a dataset. A dataset may have one mode, more than one mode, or no mode at all.

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CCSS.6.SP.B.5C

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How do you find the Range of a dataset?

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The range is found by subtracting the smallest value in the dataset from the largest value.

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CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

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What is the First Quartile (Q1)?

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The first quartile (Q1) is the value that separates the lowest 25% of a dataset from the rest, also known as the lower quartile.

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CCSS.6.SP.B.5C

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What is the effect of an outlier on the Mean?

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An outlier can significantly affect the mean, often pulling it towards the outlier value, which may not represent the central tendency of the data.

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What is the effect of an outlier on the Median?

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The median is less affected by outliers, as it is based on the middle value(s) of a dataset, making it a better measure of central tendency in skewed distributions.

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What is the difference between the Mean and the Median?

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The mean is the average of all values, while the median is the middle value when the data is sorted. The mean can be skewed by outliers, whereas the median is more robust.

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CCSS.HSS.ID.A.2

CCSS.6.SP.B.5D

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How do you calculate the Mean of the following numbers: 10, 20, 30, 40?

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Mean = (10 + 20 + 30 + 40) / 4 = 25.

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CCSS.6.SP.B.5C