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Frequency Tables

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Aligned To Common Core Standard:

Grade 6 Statistics - 6.SP.B.5d

How to Find Frequency in a Data Distribution (Creating Frequency Tables)- A significant concept in statistics, a branch of mathematics, is frequency. It is one of the most important elements when kids are learning to display data visually in the form of histograms, bar graphs, and line plots. When organizing data to represent it using the data display tools, you will need to calculate the frequency. Don't know what frequency is? Well, don't worry. Frequency is the number of times a value gets repeated in the data set. Thinking of how to calculate it? Before you start calculating the frequency, you need to know what tally is. Tally is the representation of data using vertical lines. One vertical line represents one count. After the fourth vertical line, a diagonal line is used which cuts through these four lines, starting from the top of the first vertical line and ending at the bottom of the fourth vertical line. Step 1: Construct a Frequency Table - Start by constructing a frequency table with three columns. Label these columns as value, tally, and frequency. Organize the values in ascending order. Step 2: Data Reading - Start reading the data, and for each count, use tally to keep track of how many times a value is being repeated in the data. Continue the process until you have tallied the entire data. Step 3: Count the Tally - The next step is to count tally to calculate the frequencies.

Printable Worksheets And Lessons

Homework Sheets

I worked tallies in here as much as I could see. Students will use this a lot in science too.

  • Homework 1 - Neil monitored the speed (mph) of the bikes in a particular traffic area.
  • Homework 2 - The students received grades out of 60. Draw a bar graph to represent this data.
  • Homework 3 - Chip looked back at the number of points Jerry scored in his last two seasons. Find the median number of points that he scored.

Practice Worksheets

The first two are just raw data to chart and graph. The last sheet is filled with data tables you need to make sense of.

  • Practice 1 - Bonnie was in charge of collecting all of the garbage at each of city's government buildings. The number of garbage bags she picked up at each building can be found below.
  • Practice 2 - John recorded the number of burpees he could do in 45 seconds. Draw a line graph to represent the data presented in each case.
  • Practice 3 - Find the mean and mode from the following data.

Math Skill Quizzes

These are more data driven problems. There is also a standard on measures of center that pair with this well.

  • Quiz 1 - Tracy is counting how many times she can jump rope every day. Prepare a frequency distribution for all this data.
  • Quiz 2 - Find the median from the following data. You will be given four charts to work with.
  • Quiz 3 - Create a raw bar graph for each large data set. Each graph will need to take into account about 30-40 values of data.

What Are the Advantages to Visualizing Data?

When we create these graphical representations in the form of a distribution, we can quickly spot inconstancies within the data set. This area of statistics is often referred to as descriptive statistics. This technique could be used to compare multiple data sets and help you easily find outliers that differ greatly from the norm. When you have a visual available, you will have a much greater success level with identifying trends. Using this method, it is simple to spot the minimum and maximum value with a range following in between. By looking at the height of the lines or bars, whatever you choose, you can understand the level of variability in your data as well. We encourage all students to use visuals when ever possible. While it may not ensure that your solution is correct, it will definitely improve your chances.