The widths, in millimeters, of fabric produced at a ribbon factory are collected. The mean is approximately 23 millimeters, and the standard deviation is approximately 0.6 millimeters.

Interpret the mean and standard deviation in the context of the problem.

Select all the statements that are true about standard deviation.

The number of different species of plants in some gardens is recorded.

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• 5
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• 8

1. What is the mean?
2. What is the standard deviation?

A set of data has ten numbers. The mean of the data is 12 and the standard deviation is 0. What values could make up a data set with these statistics? 

Which box plot has the largest interquartile range?

1. What is the five-number summary for these data?
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   • 3
   • 3
   • 4
   • 8
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   • 10
   • 10
   • 17
2. When the maximum, 17, is removed from the data set, what is the five-number summary?

In quadrilateral \(BADC\), \(AB=AD\) and \(BC=DC\). The line \(AC\) is a line of symmetry for this quadrilateral.

1. Based on the line of symmetry, explain why the diagonals \(AC\) and \(BD\) are perpendicular.
2. Based on the line of symmetry, explain why angles \(ACB\) and \(ACD\) have the same measure.