## Data & Graphs

VOCABULARY TO LEARN

factual question- a mathematical question with only 1 answer (ex: A square with 3 in. sides has an area of 9 sq. in.)

No matter how you look at it-- the answer will ALWAYS be 9 sq. in.

- a question with one correct answer. EX: The area of a rectangle that is 2' by 4'. Answer is always 8 sq '

statistical question- a question that anticipates there will be different answers. EX: How timed do you blink in a minute?

data distribution- the way data values are arranged

categorical data- data that is grouped by some common property. EX: Favorite day of the week.

numerical data - data that can be represented by a number. EX: Number of sheets of paper used by each person.

outlier- an extreme value with few data points located near it

average- Found by adding the values in a set of data and then dividing by the number of values in that set SAME AS MEAN!

range- The distance between the least and greatest numbers { 2, 4, 6, 8, 10) To find the range 10 - 2 = RANGE of 8!

The numbers do not have to be in order {4, 10, 6, 2, 8} Range is still greatest MINUS smallest = 8

mean- the average; found by totally numbers and dividing that by the amount of numbers totaled.

median- The MIDDLE number when the list is placed in order. NOTE: MIDDLE has the letter "i" in it and so does median!

EX {2, 5, 7, 9, 11} Median is 7!

{9, 2, 5, 11, 7} Median is still 7 because if you put the list in order 7 is still the middle number.

mode-The number used most often--MODE has an "o" and so too does mOst and Often.

{1, 3, 5, 3, 7} Mode = 3!

frequency table- they show the frequency or how often data values occur

bar graph - a graph that uses BARS to show frequency. Not recorded in groups and has spaces between the bars

The graph at the top left of this page is a bar graph.

histogram- a graph that uses BARS to show the frequency of groups of data and the bars have no space between them

The graph at the top center of this page is a histogram. Notice how the data at the bottom includes a RANGE

of numbers rather than just one like the bar graph

box plot- shows distribution of data on a number line.

dot plot- shows a number line with dots placed above the values each time they are used

quartiles- divide data into equal parts

absolute deviation- the distance between each data value and the mean.

interquartile range (IQR)- The difference between the third quartile and the 1st quartile (in a dot plot)

The term absolute just means that you don't use + or - signs in your deviations.

This sounds very complicated, but it's actually not that bad.

This video covers the concept pretty well. watch it once or twice it's only 2 minutes long

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MEAN MEDIAN & MODE

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the location of numbers of a line plot. Try it to see how it works.

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find mean, median & mode in an easy to follow basic way. Hint: have pencil & paper.

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have to move the "Zooks" around and then select move the sign!. Give it a try if you're good at figuring.

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Not an exciting game, but try it. See if you can figure the mean!

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This is a card game. Pay close attention to the directions.

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Watch them all in whatever order you wish! :-)

Different Types of Graphs

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This video does a great job of showing how to create both types of plots/graphs

A very good overall video to look at data!

This is a very BASIC tutorial.

It is similar to your book's method, except the video uses the term upper and lower

quartile. Your book calls these same areas -> first and third quartiles.

Slide things around so that you make it correct and then see you do do!

A Quick Review - This page gives a quick review of a tally table and a frequency table.

factual question- a mathematical question with only 1 answer (ex: A square with 3 in. sides has an area of 9 sq. in.)

No matter how you look at it-- the answer will ALWAYS be 9 sq. in.

- a question with one correct answer. EX: The area of a rectangle that is 2' by 4'. Answer is always 8 sq '

statistical question- a question that anticipates there will be different answers. EX: How timed do you blink in a minute?

data distribution- the way data values are arranged

categorical data- data that is grouped by some common property. EX: Favorite day of the week.

numerical data - data that can be represented by a number. EX: Number of sheets of paper used by each person.

outlier- an extreme value with few data points located near it

average- Found by adding the values in a set of data and then dividing by the number of values in that set SAME AS MEAN!

range- The distance between the least and greatest numbers { 2, 4, 6, 8, 10) To find the range 10 - 2 = RANGE of 8!

The numbers do not have to be in order {4, 10, 6, 2, 8} Range is still greatest MINUS smallest = 8

mean- the average; found by totally numbers and dividing that by the amount of numbers totaled.

median- The MIDDLE number when the list is placed in order. NOTE: MIDDLE has the letter "i" in it and so does median!

EX {2, 5, 7, 9, 11} Median is 7!

{9, 2, 5, 11, 7} Median is still 7 because if you put the list in order 7 is still the middle number.

mode-The number used most often--MODE has an "o" and so too does mOst and Often.

{1, 3, 5, 3, 7} Mode = 3!

frequency table- they show the frequency or how often data values occur

bar graph - a graph that uses BARS to show frequency. Not recorded in groups and has spaces between the bars

The graph at the top left of this page is a bar graph.

histogram- a graph that uses BARS to show the frequency of groups of data and the bars have no space between them

The graph at the top center of this page is a histogram. Notice how the data at the bottom includes a RANGE

of numbers rather than just one like the bar graph

box plot- shows distribution of data on a number line.

dot plot- shows a number line with dots placed above the values each time they are used

quartiles- divide data into equal parts

absolute deviation- the distance between each data value and the mean.

interquartile range (IQR)- The difference between the third quartile and the 1st quartile (in a dot plot)

**deviation**- distance from one point to another. EX: For 9 and 3 is 6; the deviation of 3 and 7 is 4!**absolute deviation**- to get the deviation you subtract, as was done in the deviation exampleThe term absolute just means that you don't use + or - signs in your deviations.

**mean deviation**- the distance from each data point and the mean.**mean absolute deviation**- add the number of absolute deviations and divide by the number of values in the setThis sounds very complicated, but it's actually not that bad.

This video covers the concept pretty well. watch it once or twice it's only 2 minutes long

**(a YouTube video)**__Mean Absolute Video__--------------------------------------------------------------------------------------------------------------------------------------------------------------------

MEAN MEDIAN & MODE

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**- VIDEO A very entertaining interactive game show that reviews these terms**__Mean Median Mode Range Dunk Tank__2

**VIDEO From TeacherTube. This cartoonish song defines these 3 terms.**__Mean Median Mode SONG__3

**Not a video, but a simple page that pretty much tells you all you need to know!**__Mode Tutorial by Math Goodies:__4

**In this activity, you type in numbers and the program creates a line plot showing you**__Median & Mode Calculator:__the location of numbers of a line plot. Try it to see how it works.

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**By kidsmathgamesonline: Using buildings to start, this program shows how to**__Mean Median Mode Activity Game__find mean, median & mode in an easy to follow basic way. Hint: have pencil & paper.

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**This crazy game by BBC covers mean,median, mode & range. This may take a while to figure out as you**__BAMZOOKI__have to move the "Zooks" around and then select move the sign!. Give it a try if you're good at figuring.

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**- A short game where 3 runners race and you figure the mean, median & mode of their race.**__Crickweb.com Runner Race__Not an exciting game, but try it. See if you can figure the mean!

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**from Quia**__Mean, Median, Mode, Range Millionaire Game__9

__Mean, Median & Mode Jeopardy__10

__Mean, Median & Mode Card Game:__This is a card game. Pay close attention to the directions.

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**There is a lot to this interactive game. You get to select from food, weather & sports!**__E-Learning Mean, Median & Mode:__Watch them all in whatever order you wish! :-)

Different Types of Graphs

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**: This activity asks a number of questions based on different pictographs.**__Pictographs__**: In this activity YOU have to complete part of the pictograph using given data.**__Complete Pictographs__2.

**: This activity asks a number of questions based on different line plot graphs**__Interpret Line Plots__**In this activity YOU have to complete part of the line plot graph using given data.**__Complete Line Plots:__3.

**:**__Interpret Bar Graphs____Create Bar Graphs:__4.

**:**__Interpret Double Bar Graphs__**:**__Create Double Bar Graphs__5.

**:**__Create Histograms__6.

__Interpret Double Line Graphs:__**:**__Create Double Line Graphs__7.

**:**__Interpret Box & Whisker Plots__8.

**: Use your knowledge to decide which is best!**__Choose the best kind of Graph or Chart__**Looking at Data****This person uses dot & stem & leaf plots to show you 4 ways to look at data.**__S.O.C.S. Video__This video does a great job of showing how to create both types of plots/graphs

**S**hape -**O**utliers -**C**enter -**S**preadA very good overall video to look at data!

**Box Plot / Box & Whisker Plot****: VIDEO by Metacafe.com- BE PATIENT: This may take a minute to load**__Box & Whisker Tutorial__This is a very BASIC tutorial.

It is similar to your book's method, except the video uses the term upper and lower

quartile. Your book calls these same areas -> first and third quartiles.

**By: Brainingcamp: A very good step by step tutorial!**__Box & Whisker Step by Step Tutorial__**Box & Whisker INTERACTIVE:****By: Braincamp: A great page. It gives you the numbers and the box set-up**Slide things around so that you make it correct and then see you do do!

**Box & Whisker 10 questions****:**By: Braincamp: See if you can answer all 10 multiple choice questions correctly!**Box & Whisker Apply It!:**By Braincraft: Apply what you know to this real world problem.**WebPage by Basic Math: This explains what the previous video covers, but in a webpage.**__Box & Whisker Tutorial:__**This site has different levels of difficulty.**__Mangahigh.com Activity__-**Take this 10 question multiple choice quiz. It asks about all kinds of graphs**__BBC QUICK QUIZ:__**Frequency Table**__Frequency Table:__A Frequency table groups amounts of data. Help complete each "frequency table"**This activity has you create a "FREQUENCY" table and from it make a bar graph & pictograph!**__Sciencekids.com Activity:__A Quick Review - This page gives a quick review of a tally table and a frequency table.

**: This YOUTUBE page has 6 different videos on this page. TRY IT AT HOME.**__More frequency table Info__## THE ULTIMATE GRAPH ACTIVITY SITE

**This site has an unbelievable amount of options.**

__thatquiz.org Ultimate Graph Site__Each of which creates a short quiz.

Options include: pictograms, the following kinds of graphs: bar, circle, line, multi-bar, scatter, line plot,

stem & leaf & box plot!

You can: plot, find minimum, maximum, mean, median, mode, difference and more.

There are 2 levels of difficulty: Easier and Normal

This master math video shows how to use formulas to solve for area of triangl

Coordinate Graphs:

get into more challenging equations!

The only difference is that you're moving your FROG around so it can catch the FLY.

PROBABILITY

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STEM & LEAF PLOT

It shows how to do mean, median & mode using this too.

Comprehensive On-Line Worksheet: ( this page under construction)Try a problem and then you can check right away if you

**. This short 1 minute video with music introduces coordinate graphing and the X & Y axis!**__Next Vista Intro__**- A good interactive activity using positive numbers.**__Coordinate Interactive Tutorial__**- A very basic coordinate game using positive numbers.**__Billy Bug Find That Grub__**- A very good & entertaining video on this topic. This starts out very basically, but does later**__Coordinate Plane Video__get into more challenging equations!

**- Same as the above game EXCEPT it uses positive & negative numbers.**__Billy Bug Find That Grub II__**: Try each of these coordinate games by math nook**__5 Coordinate Games__**: Use coordinates to find dinosaur bones. Your score is based on the number of tries it takes you.**__Dinosaur Dig__**Use coordinate geometry to find the worm in as few attempts as possible.**__Find the Worm:__**This is a GREAT activity. It has use use coordinates just as you would in a math problem.**__Catch the Fly:__The only difference is that you're moving your FROG around so it can catch the FLY.

**This link will get you to many additional coordinate geometry games.**__Want more Coordinate Geometry Games?__PROBABILITY

__Probability YouTube Video__**(8 min). A good introductory video****- flip up to 100 coins to test probability**__Random coin flip__1.

**: This activity as a number of different levels. Start easy and work your way up!**__Probability Pond__2.

**: Check out each of these probability games!**__Multiple Probability Games__STEM & LEAF PLOT

**Stem & Leaf Plot Video**- this does a great job explaining this plot (7 min)It shows how to do mean, median & mode using this too.

**- take this quick stem & leaf quiz**__7 Question Quick Quiz__**- Look at the Stem & Leaf Plot and answer these 9 questions.**__NINE Questions__**- Click through the tutorial at your own pace and then do the activity that follows!**__Tutorial & Activity__Comprehensive On-Line Worksheet: ( this page under construction)Try a problem and then you can check right away if you