Measures of Central Tendency

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What is the definition of median in a data set?

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The median is the middle value of a data set when the numbers are arranged in ascending or descending order. If there is an even number of observations, the median is the average of the two middle numbers.

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CCSS.6.SP.B.5C

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How do you calculate the mode of a data set?

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The mode is the value that appears most frequently in a data set. A data set 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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What is the formula for calculating the mean of a data set?

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The mean is calculated by adding all the numbers in the data set and then dividing by the total number of values.

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CCSS.6.SP.B.5C

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What is the difference between mean, median, and mode?

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Mean is the average of a data set, median is the middle value, and mode is the most frequently occurring value.

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CCSS.6.SP.B.5C

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How do you find the median in a data set with an odd number of values?

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To find the median in a data set with an odd number of values, arrange the numbers in order and select the middle number.

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CCSS.6.SP.B.5C

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How do you find the median in a data set with an even number of values?

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To find the median in a data set with an even number of values, arrange the numbers in order and calculate the average of the two middle numbers.

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CCSS.6.SP.B.5C

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What is an example of a data set with no mode?

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A data set like {1, 2, 3, 4, 5} has no mode because no number repeats.

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CCSS.6.SP.A.3

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What is an example of a data set with multiple modes?

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A data set like {1, 2, 2, 3, 3, 4} has two modes: 2 and 3, as both appear most frequently.

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What is the significance of the mode in a data set?

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The mode indicates the most common value in a data set, which can be useful in understanding trends and patterns.

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CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

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How can outliers affect the mean of a data set?

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Outliers can significantly skew the mean, making it higher or lower than the central tendency of the majority of the data.