Use the image to answer the question.
An illustration shows a number line ranging from 43 to 48 in increments of 1. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 44 to 45.5 and the second box extends from 45.5 to 47. A line extends from 43 to the left side of the first box. Another line extends from the right side of the second box to 48.
What is the lower quartile and upper quartile of the box plot (in that order)?
(1 point)
Responses
43 and 45.5
43 and 45.5
45.5 and 48
45.5 and 48
43 and 48
43 and 48
44 and 47
Use the image to answer the question.
An illustration shows a number line ranging from 64 to 80 in increments of 1. A boxplot is placed above the number line. The box is divided into two sections. The first box extends from 67 to 72. The second box extends from 72 to 77. A line extends from 64 to the left side of the first box. Another line extends from the right side of the second box to 80.
What are the minimum and median values of the box plot (in that order)?
(1 point)
Responses
64 and 80
64 and 80
64 and 72
64 and 72
67 and 77
67 and 77
72 and 80
44 and 47
whats the answer
To determine the lower quartile and upper quartile of the box plot, you need to understand how the quartiles are represented in a box plot and interpret the information provided.
In a box plot, the box represents the interquartile range (IQR), which is the range between the upper quartile (Q3) and lower quartile (Q1). The line within the box represents the median (Q2), which divides the data into two equal halves.
Looking at the given box plot, the lower quartile (Q1) is represented by the left boundary of the first box. In this case, the first box extends from 44 to 45.5, so the lower quartile is 44.
Similarly, the upper quartile (Q3) is represented by the right boundary of the second box. In this case, the second box extends from 45.5 to 47, so the upper quartile is 47.
Therefore, the correct answer is:
Lower quartile: 44
Upper quartile: 47