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Lesson 6 Homework Practice Select An Appropriate Display


Lesson 6 Homework Practice Select An Appropriate Display




In this lesson, you will learn how to select an appropriate display for data gathered about different situations. You will also practice making and interpreting different types of displays, such as dot plots, histograms, box plots, and line graphs.


What is a display?




A display is a visual representation of data that helps you to organize, summarize, and communicate information. There are many types of displays, such as tables, charts, graphs, maps, and diagrams. Each type of display has its own advantages and disadvantages, depending on the purpose, audience, and data involved.


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How to select an appropriate display?




To select an appropriate display for your data, you need to consider the following factors:



  • The type of data: Data can be classified into two main types: categorical and numerical. Categorical data are data that can be grouped into categories or labels, such as colors, names, or genres. Numerical data are data that can be measured or counted, such as heights, weights, or temperatures.



  • The shape of the data: The shape of the data refers to how the data values are distributed or spread out. For example, the data values can be symmetric, skewed, or uniform. The shape of the data can affect the choice of display and the interpretation of the results.



  • The summary statistics: Summary statistics are numerical values that describe the main features of the data, such as the mean, median, mode, range, standard deviation, and quartiles. Summary statistics can help you to compare and contrast different sets of data and to identify outliers or extreme values.



  • The purpose of the display: The purpose of the display is the main message or question that you want to convey or answer with your data. For example, you may want to show the relationship between two variables, compare the distributions of different groups, or identify trends or patterns over time.



  • The audience of the display: The audience of the display is the intended viewers or readers of your data. You need to consider their background knowledge, interests, and expectations when choosing and designing your display. For example, you may need to use different levels of detail, complexity, or terminology depending on your audience.




Examples of different types of displays




Here are some examples of different types of displays that you can use for your data:




Type of display


Description


Example




Dot plot


A dot plot is a simple display that shows each data value as a dot along a number line. Dot plots are useful for showing the frequency and distribution of numerical data.





Histogram


A histogram is a display that shows the frequency of numerical data in intervals or bins. Histograms are useful for showing the shape and spread of numerical data.





Box plot


A box plot is a display that shows the five-number summary of numerical data: minimum, first quartile, median, third quartile, and maximum. Box plots are useful for showing the variability and outliers of numerical data.





Line graph


A line graph is a display that shows how a numerical variable changes over time or another numerical variable. Line graphs are useful for showing trends or patterns over time.





Practice questions




Here are some practice questions for you to apply what you have learned in this lesson:


  • Which display makes it easier to see the median spent on food in a state from 2007 to 2012?



Select an appropriate type of display for data gathered about each situation. Explain your choice.


  • Record high temperature for each month this year



  • Test scores each student had on a science test



  • Favorite topping on a pizza of the students in Mrs. Witsken's class



  • Edmund's weight on his birthday over the past 10 years





  • Select and make an appropriate type of display for the following data.




Answers




Here are the answers to the practice questions:


  • The box plot makes it easier to see the median spent on food in a state from 2007 to 2012, because the median is shown as a line inside the box. The line graph does not show the median directly, but only the average.



Possible answers:


  • A line graph would be an appropriate display for the record high temperature for each month this year, because it shows how the temperature changes over time.



  • A histogram or a dot plot would be an appropriate display for the test scores each student had on a science test, because they show the frequency and distribution of numerical data.



  • A bar graph or a pie chart would be an appropriate display for the favorite topping on a pizza of the students in Mrs. Witsken's class, because they show the relative frequency and proportion of categorical data.



  • A line graph or a scatter plot would be an appropriate display for Edmund's weight on his birthday over the past 10 years, because they show how a numerical variable changes over another numerical variable.





  • A possible display for the following data is a line graph, because it shows how the sales change over time.




References




Here are some references that you can use to learn more about selecting an appropriate display for your data: - [6th Grade Math Chapter 12 Lesson 6: Select an Appropriate Display] - [Solved NAME DATE PERIOD Lesson 6 Skills Practice Select an - Chegg] - [NAME DATE PERIOD Lesson 6 Homework Practice - Neshaminy School District]




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