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Statistical Variability in Data

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Aligned To Common Core Standard:

Grade 6 Statistics - 6.SP.A.1

What Is Statistical Variability in Data? Statistical variability is also known as dispersion. It is a way to describe the trends in the way the data is spread out in a data set. It is the measure through which one data set can be compared to the others as it tells how each of the sets varies from each other. There are four measures of statistical variability which are used to describe the trends in a data set, which include range, interquartile range, variance, and standard deviation. Range: The difference between the largest and the smallest value in the data set is the range of the data set. To calculate the range, you simply subtract the smallest value from the largest value in the data. Interquartile Range: Interquartile range or IQR is the difference between the half of the second half of the data set, which is three-fourth of the data, Q3, and the half of the first half, which is one-fourth of the data set, Q1. Variance: It tells if the data is widely spread or tightly clustered. A small variance means the data is clustered together, and a bigger value indicates the data is widely spread. Standard Deviation: Standard deviation is the measure of how tightly clustered or widely spread the data in a data set is. A larger standard deviation is an indication that your data is widely spread.

Printable Worksheets And Lessons

Homework Sheets

Determining Bias within Data Collection, Random Samples and Bias In Samples.

  • Homework 1 - Mary bought 5 slushies for each member in the family She did not know the preferences of flavors of each one of them. Is this sample of slushies from the shop likely to be biased?
  • Homework 2 - Katie asked the class what they wanted to color today. She announced to the class that they could either color a friendly dinosaur or an evil wizard. Is this sample of the writing pages completed by the kids likely to be biased?
  • Homework 3 - The nurse collected blood samples from all the patients in the hospital. Is this sample of blood likely to be biased?

Practice Worksheets

Random Samples of Data, Using Questions to Discriminate Data, and Determining Bias in Statements.

  • Practice 1 - Lauren took grapes from the bag and threw it down. She picked 20 grapes which were on the table. Is this a random sample of the grapes?
  • Practice 2 - When I was in market, many of the fruit shops were closed. Which of the following questions would provide you with hard data that you could use to find the reason for it?
  • Practice 3 - Are the statements or questions biased? State how.

Math Skill Quizzes

Working With Statistical Variability in Data, The Bias Conditions of a Statement, and my favorite Bias in Tables and Graphs.

  • Quiz 1 - Every teacher in school should know the French Language. Is this statement biased?
  • Quiz 2 - Are the statements or choices biases in any way?
  • Quiz 3 - Circle the word(s) in each sentence that makes the question biased.