• October 9, 2019

When we relate two data sets based on the same scale, we may examine box-and-whisker plots to get an idea of how the two data sets compare. Introduction Homepage Math blog Pre-algebra Pre-algebra lessons Algebra Algebra lessons Advanced algebra Geometry Geometry lessons Trigonometry lessons Math by grades Math by grade Math tests Online math tests Math vocabulary quizzes Applied arithmetic Basic math word problems Consumer math Baseball math Math for nurses Interesting math topics Fractions Ancient numeration system Set notation Math resources Other math websites Basic math worksheets Algebra worksheets Geometry worksheets Preschool math worksheets First grade math worksheets Basic math formulas Basic math glossary Basic math calculator Algebra solver Educational math software Online educational videos Private math tutors Ask a math question Careers in math The Basic math blog. I have read and accept the privacy policy. Construct a box plot for the following data: Notice that the number of data values is 9, which is odd there are nine numbers in this data set. Please submit your feedback or enquiries via our Feedback page. Find the five-number summary for the amount collected.

K tests, GED math test, basic math tests, geometry tests, algebra tests. Surface area of a cube. By considering the upper one-fourth, upper half, and upper three-fourths instead of just the lowest and highest scores, we would conclude that the students as a whole did much better in than in Basically a box and whiskers plot looks like this: Determine the first quartile and third quartile for the amount collected.

First, we write data in increasing order: Please submit your feedback or enquiries via our Feedback page.


As before, the median is 13 it is the mean of 12 and 14 — the pair of middle entries. Suppose that the box-and-whisker plots below represent quiz scores out of 25 points for Quiz 1 and Quiz 2 for the same class. Real Life Math Skills Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball. Join the lines for the lower quartile and the upper quartile to form a box.

Creating box plots (practice) | Khan Academy

In this section, we discuss box-and-whisker plots and the five key values used in constructing a box-and-whisker plot. We will only use it to inform you about new math lessons. From our Example 1’s on the previous pages, we see that the five-number summary is: Everything you need to prepare for an important exam!

Try the given examples, or type in your own problem and check your pplots with the step-by-step explanations.

7-5 problem solving box-and-whisker plots

But the box portion of the illustration gives us more detailed information. Surface area of a cube.

Motivation Problem

Your email is safe with us. Draw three vertical lines at the lower quartile 12median 22 and the upper quartile 36just above the number line. Area of irregular shapes Math problem solver.

The five-number summary of a data set consists of the five numbers determined by computing the minimumQ 1medianQ 3and maximum of the data set.

Here is a brief review of terms used with the median: Determine the range and interquartile range for the amount collected. Greater distances in the diagram should correspond to greater distances between numeric values.


A box-and-whisker plot or boxplot is a diagram based on the five-number summary of a data set. Determine the first quartile and third quartile for the amount collected.

7-5 problem solving box-and-whisker plots

This gives us a nice visual representation of how the data is spread out across the range. Facebook page Pinterest pins. Since there is an even number of values, we need the mean of the middle two values to find the first quartile:.

Box and Whiskers Plot (solutions, examples, videos)

Find the median, lower quartile and upper quartile. Then the middle data value is the 5 th value, counting from either the left or the right. We welcome your feedback, comments and questions about this site or page. K tests, GED math test, basic math tests, geometry tests, algebra tests. I am at least 16 years of age.

This conclusion seems bo-xand-whisker follow since the lowest score of 8 in is greater in value than the lowest score of 6 in We would conclude that as a whole the students in are less prepared than the students in The following dollar amounts were the hourly collections from a Salvation Army kettle at a local store one day in December: New math lessons Email.

Arrange the data in ascending order.