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What is the position of the sample median in an ordered list of data?
What is the position of the sample median in an ordered list of data?
What is the sample median of the following data: 28, 22, 26, 29, 21, 23, 24?
What is the sample median of the following data: 28, 22, 26, 29, 21, 23, 24?
What is the sample median of the following data: 28, 22, 26, 29, 21, 23, 24, 50?
What is the sample median of the following data: 28, 22, 26, 29, 21, 23, 24, 50?
What is the most commonly used measure of center for a quantitative variable?
What is the most commonly used measure of center for a quantitative variable?
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What is the sample mean of a dataset calculated as?
What is the sample mean of a dataset calculated as?
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What is the purpose of calculating the sample median and sample mean?
What is the purpose of calculating the sample median and sample mean?
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What is the purpose of measures of center in descriptive statistics?
What is the purpose of measures of center in descriptive statistics?
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Which measure of center can be used for both quantitative and qualitative data?
Which measure of center can be used for both quantitative and qualitative data?
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What is the mode of a dataset if every value occurs only once?
What is the mode of a dataset if every value occurs only once?
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How is the mode defined for a continuous variable or a discrete variable with many different values?
How is the mode defined for a continuous variable or a discrete variable with many different values?
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What is the definition of the sample median?
What is the definition of the sample median?
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How is the median of a dataset obtained?
How is the median of a dataset obtained?
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What is the term for a dataset with two modes?
What is the term for a dataset with two modes?
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What is the mode class for a grouped quantitative variable?
What is the mode class for a grouped quantitative variable?
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Study Notes
Measures of Center
- Measures of center indicate where the most typical value of a variable lies in a collected set of measurements.
- Averages are another term for measures of center.
- Measures of center can be applied to quantitative data (median and mean) or qualitative data (mode).
The Mode
- The mode is the value of a variable that occurs with the greatest frequency in a data set.
- If the greatest frequency is 1, the variable has no mode.
- If the greatest frequency is 2 or greater, any value that occurs with that frequency is called a sample mode.
- The mode can be used with qualitative or discrete quantitative data.
- For continuous variables, the mode can be defined in terms of class frequencies by grouping data into class intervals.
Bi-Modal
- A bi-modal distribution is a distribution with two modes.
The Median
- The median is the value of a variable that divides the set of observed values in half.
- The median is the middle value in an ordered list of observed values.
- If the number of observations is odd, the median is the middle value.
- If the number of observations is even, the median is the number halfway between the two middle values.
The Mean
- The mean is the most commonly used measure of center for quantitative variables.
- The sample mean is the sum of observed values divided by the number of observations.
- The mean is often referred to as the average.
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Description
This quiz covers measures of center, including the median, mean, and mode, which indicate the typical value of a variable in a set of measurements.
