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3 Questions

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Order Statistic in Statistics

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Questions and Answers

What does the order statistic represent in a set of data?

The mode of the data set

The maximum value in the data set

The mean of the data set

The k-th smallest value in the data set (correct)

In a set of data, what does the second order statistic represent?

The second smallest value in the data set (correct)

The median of the data set

The third smallest value in the data set

The maximum value in the data set

How is the k-th order statistic denoted in statistical notation?

$x_k$

$x_{(k)}$ (correct)

$x_{(k+1)}$

$x_{(k-1)}$

Study Notes

What does the order statistic represent in a set of data? In a set of data, what does the second order statistic represent? How is the k-th order statistic denoted in statistical notation?

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Description

Test your knowledge on order statistics and their representation in a set of data. Understand the significance of the second order statistic and its statistical notation.