One Variable Statistics

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What is One Variable Statistics?

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One Variable Statistics is the branch of statistics that deals with the analysis of data that consists of a single variable. It focuses on summarizing and interpreting data using measures such as mean, median, mode, range, and standard deviation.

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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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What is the median?

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

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What is the mode?

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The mode is the value that appears most frequently in a data set.

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What is the range of a data set?

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The range is the difference between the highest and lowest values in a data set.

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What is standard deviation?

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Standard deviation is a measure of the amount of variation or dispersion in a set of values. A low standard deviation indicates that the values tend to be close to the mean, while a high standard deviation indicates that the values are spread out over a wider range.

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What is the interquartile range (IQR)?

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The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1) in a data set. It measures the range of the middle 50% of the data.

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What is a five-number summary?

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A five-number summary consists of five key values that summarize a data set: the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

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What does it mean for a statistic to be resistant to outliers?

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A statistic is considered resistant to outliers if it is not significantly affected by extreme values in the data set. For example, the median is resistant, while the mean is not.

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What is a quartile?

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A quartile is a type of quantile that divides a data set into four equal parts. The first quartile (Q1) is the median of the lower half, the second quartile (Q2) is the median of the data set, and the third quartile (Q3) is the median of the upper half.