How do I create and interpret frequency tables and line plots?
Vocabulary Frequency Table – a table that displays the number of times each item or category occurs in a data set. Line Plot – a number line diagram that uses X marks to show the frequencies of items being tallied.
Line Plot A line plot shows the spread of all the data on a number line. Easily identifies the mode. All line plots include: - a title - a horizontal line - data displayed by use of X’s
Example of a Frequency Table How many books did you read this summer? # of Books Tallies Frequency 1 llll 5 2 3 llll l 6 4 ll 7 students
Completed Line Plot When the items being tallied are numbers, a line plot can be used to visually display numerical data. A line plot uses X marks above a number line to show the frequencies. The X marks above the number line show the frequencies. X X X X X X X X X X X X X X X X The Number Line shows the number of books read. X X X X X X 1 2 3 4 5 6 7 Number of Books Read
Line Plot Example Number of sit-ups in a minute
Making a Frequency Table What is your favorite food? Spaghetti, Steak, Tacos, or Pizza We can use our data to make a line plot. Favorite Food Tallies Frequency Spaghetti Steak Tacos Pizza
Making a Line Plot steak taco pizza spag Food Tallies Frequency Spaghetti Steak Tacos Pizza steak taco pizza spag
Making a Frequency Table How many TV’s do you have in your home? 0,1,2,3,4,5 # of TV’s Tallies Frequency 1 2 3 4 5 We can use our data to make a line plot.
Making a Line Plot # of TV’s Tallies Frequency 1 2 3 4 5 1 2 3 4 5
Making a Frequency Table How many pets do you have? 0, 1, 2, 3, 4, 5+ # of pets Tallies Frequency 1 2 3 4 5+
Making a Line Plot # of pets Tallies Frequency 1 2 3 4 5+ 2 3 4 5+ 1
Variability in Data Distributions Outliers-Unusually high or low values in a distribution. Clusters-A group of data values with higher frequency than surrounding values. Gaps-Areas in the scale where there is a lack of data values.