What is the interqueartile range for the data set 13,14,17,18,23,27,28,31,34

Fortunately, the data is already arranged in ascending order, which is a requirement when we're looking for quadrants and the IQR.  There are 9 data points, where 9 is an odd number, so the middle data point, 23, is the median.

We must now find Q1 and Q3.  To the left of 23 we have 13, 14, 17, 18.  Take the median of these four points:  It is the average of 14 and 17, or 15.5.
Similarly, find the mediation of 27, 28, 31, 34; it is the average of 28 and 31, or 29.5.

The IQR is the difference between Q3 and Q1; here, that difference is 29.5 - 15.5 = 14.

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c