First, arrange the data set in ascending order.
Median is the middle value in a set of data arranged numerically.
So, first arrange the maximum speeds in the ascending order. We get:
The lower quartile is the median of the lower half of the data set.
Since, there are 11 values the first 5 values will be the lower half.
So, the values in the lower half are:
12, 25, 30, 30, 32
Here, the middle number is 30. So, the median is 30.
Therefore, the lower quartile is 30.
The upper quartile is the median of the upper half of the data set.
Since, there are 11 values the last 5 values will be the upper half.
So, the values in the upper half are:
40, 43, 47.5, 50, 70
Here, the middle value is 47.5. So the median is 47.5.
Therefore, the upper quartile is 47.5.
Draw a number line and scale it.
The speeds range from 12 to 70. Draw a number line with equal intervals, each interval representing 10 mi/h from 0 to 100.
Mark the least and greatest values, the median and the quartiles.
Here, the least and the greatest values are 12 and 70, the median is 35 and the quartiles are 30 and 47.5.
See the figure.
Now, draw the box.
Draw the box from the first to the third quartile.
Also, mark the median with a vertical segment.
Whiskers are line segments joining the quartiles to the maximum and the minimum values.
Draw whiskers from the box to the least and greatest values.
Names of standardized tests are owned by the trademark holders and are not affiliated with Varsity Tutors LLC.
4.9/5.0 Satisfaction Rating over the last 100,000 sessions. As of 4/27/18.
*See complete details for Better Score Guarantee.
Media outlet trademarks are owned by the respective media outlets and are not affiliated with Varsity Tutors.
Award-Winning claim based on CBS Local and Houston Press awards.
Varsity Tutors does not have affiliation with universities mentioned on its website.
Varsity Tutors connects learners with experts. Instructors are independent contractors who tailor their services to each client, using their own style,
methods and materials.