Question

Help Question 1: Minimum: Lower quartile: Median: Upper quartile: Maximum: IQR = A box plot titled "Lunchtime Restaurant Patrons" and labeled "Patrons" uses a number line from 5 to 25 with primary markings and labels at 5, 10, 15, 20, and 25. The box extends from 10 to 18 on the number line. A line in the box is at 14. The whiskers end at 6 and 23.

Answer 1

The box plot for 'Lunchtime Restaurant Patrons' displays a minimum value at 6, a lower quartile at 10, a median at 14, an upper quartile at 18, and a maximum value at 23, with an Interquartile Range (IQR) of 8.

Step-by-step explanation:

Interpreting a Box Plot

The box plot you described shows various statistical measures of a dataset representing 'Lunchtime Restaurant Patrons.' The reported features of the box plot correspond to the five-number summary which are:

• Minimum value: The smallest number in the dataset, given by the end of the left whisker at 6.
• Lower quartile (First Quartile or Q1): The value that divides the bottom 25% of the data from the rest, marked by the left edge of the box at 10.
• Median (Second Quartile or Q2): The middle value of the dataset, indicated by the line inside the box at 14.
• Upper quartile (Third Quartile or Q3): The value that divides the top 25% of the data from the rest, marked by the right edge of the box at 18.
• Maximum value: The largest number in the dataset, given by the end of the right whisker at 23.

The Interquartile Range (IQR) is the difference between the upper and lower quartiles and reflects the spread of the middle 50 percent of the data. In this case, IQR = 18 - 10 = 8.