Describing distributions

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What is the definition of a unimodal distribution?

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A unimodal distribution is a probability distribution with a single peak or mode, indicating that most of the data points cluster around one central value.

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What does it mean for a distribution to be skewed?

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A skewed distribution is one where the data points are not symmetrically distributed around the mean, resulting in a longer tail on one side.

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How do you describe the shape of a distribution?

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The shape of a distribution can be described as unimodal, bimodal, uniform, or skewed, based on the number of peaks and the symmetry of the data.

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What is the range of a distribution?

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The range of a distribution is the difference between the maximum and minimum values in the dataset, indicating the spread of the data.

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What are the three measures of central tendency?

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The three measures of central tendency are the mode (most frequent value), median (middle value when data is ordered), and mean (average of all values).

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How is the mode of a distribution determined?

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The mode is determined by identifying the value that appears most frequently in the dataset.

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What is the median and how is it calculated?

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The median is the middle value of a dataset when it is ordered from least to greatest. If there is an even number of observations, the median is the average of the two middle values.

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What is the mean and how is it calculated?

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The mean is calculated by summing all the values in a dataset and dividing by the number of values.

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What does it mean for a distribution to have a high spread?

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A high spread indicates that the data points are widely dispersed from the central value, resulting in a larger range and greater variability.

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What is the significance of the shape of a distribution in statistics?

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The shape of a distribution helps in understanding the data's characteristics, including its central tendency, variability, and the presence of outliers.