Make a box-and-whisker plot for the set of data.
21, 27, 27, 25, 21, 13, 18, 25
A. box-and-whisker plot aA number line is shown with numbers labeled from 10 to 30 with a step size of 1. A box-and whisker plot is shown above the number line. The box-and-whisker plot has dots above the numbers 13, 16.25, 23, 26, and 27. A line segment connects the dots above 13 and 16.25, and another line segment connects the dots above 26 and 27. A rectangle is shown above the number line with the dot above 16.25 on its left edge and the dot above 26 on its right edge. A vertical line through the dot above 23 divides the rectangle into two parts.
B. box-and-whisker plot bA number line is shown with numbers labeled from 10 to 30 with a step size of 1. A box-and whisker plot is shown above the number line. The box-and-whisker plot has dots above the numbers 13, 19.5, 23, 25, and 27. A line segment connects the dots above 13 and 19.5, and another line segment connects the dots above 25 and 27. A rectangle is shown above the number line with the dot above 19.5 on its left edge and the dot above 25 on its right edge. A vertical line through the dot above 23 divides the rectangle into two parts.
C. box-and-whisker plot c
D. box-and-whisker plot d
A. box-and-whisker plot a
To create a box-and-whisker plot for a set of data, you need to follow these steps:
1. Order the data from least to greatest:
13, 18, 21, 21, 25, 25, 27, 27
2. Find the median (middle value):
The median is 23 since it's the value right in the middle when the data is ordered.
3. Find the lower quartile (median of the lower half):
The lower half is from 13 to 21, and the median of this half is 18.
4. Find the upper quartile (median of the upper half):
The upper half is from 25 to 27, and the median of this half is 26.
5. Find the minimum and maximum values:
The minimum value is 13, and the maximum value is 27.
Now, let's analyze the given options to determine the correct box-and-whisker plot:
Option A: The dots above the numbers 13, 16.25, 23, 26, and 27 seem to align with our calculated values. The line segments and dividing rectangle also match the criteria for a box-and-whisker plot. This could be a correct representation.
Option B: The dots above the numbers 13, 19.5, 23, 25, and 27 do not match our calculated quartiles. The line segments and dividing rectangle are also different. This is not the correct representation.
Option C: No details are provided about this option, so we cannot determine if it is correct or not.
Option D: No details are provided about this option, so we cannot determine if it is correct or not.
Based on our analysis, the correct answer would be:
A. box-and-whisker plot a
The correct box-and-whisker plot for the set of data 21, 27, 27, 25, 21, 13, 18, 25 is:
A. box-and-whisker plot
A number line is shown with numbers labeled from 10 to 30 with a step size of 1. A box-and whisker plot is shown above the number line. The box-and-whisker plot has dots above the numbers 13, 16.25, 23, 26, and 27. A line segment connects the dots above 13 and 16.25, and another line segment connects the dots above 26 and 27. A rectangle is shown above the number line with the dot above 16.25 on its left edge and the dot above 26 on its right edge. A vertical line through the dot above 23 divides the rectangle into two parts.