MC) The box plot represents the number of tickets sold for a school dance. A horizontal line labeled Number of Tickets sold that starts at 11, with tick marks every one unit up to 25. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 20 on the number line. A line in the box is at 19. The lines outside the box end at 12 and 24. Which of the following is the appropriate measure of variability for the data, and what is its value?
The appropriate measure of variability for the data in this box plot is the interquartile range (IQR), which measures the spread of the middle 50% of the data.
To calculate the IQR, we first need to find the lower quartile (Q1) and the upper quartile (Q3). In the given box plot, the lower quartile (Q1) is located at the line within the box, which is labeled as 19. The upper quartile (Q3) is the line within the box, which is also labeled as 19.
Next, we can calculate the IQR by subtracting the lower quartile (Q1) from the upper quartile (Q3): IQR = Q3 - Q1 = 19 - 19 = 0.
Therefore, the value of the interquartile range (IQR) for the given data is 0.
The appropriate measure of variability for the data in this box plot is the Interquartile Range (IQR).
To find the value of the IQR, we need to subtract the lower quartile (Q1) from the upper quartile (Q3).
From the information given, we can determine that Q1 is 17 and Q3 is 20.
Therefore, the IQR can be calculated as follows:
IQR = Q3 - Q1
= 20 - 17
= 3
Thus, the measure of variability for the data is the interquartile range (IQR), and its value is 3.