Measures of Central Tendency

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What is the definition of median in a data set?

Back

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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How do you calculate the mode of a data set?

Back

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.

Front

What is the formula for calculating the mean of a data set?

Back

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

Front

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

Back

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

Back

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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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.

Front

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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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.

Front

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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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.