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How to calculate interquartile range IQR | Data and statistics | 6th grade | Khan Academy
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How to calculate interquartile range IQR | Data and statistics | 6th grade | Khan Academy

Calculating Interquartile Ranges

In this video, the instructor demonstrates how to calculate interquartile ranges using two examples. The first example involves sorting a set of animal cracker data and finding the median, while the second example involves interpreting a dot plot to find the median.

Sorting Data and Finding Median

  • Sort data from least to greatest.
  • Find the median by identifying the middle number in a set of odd numbers or calculating the average of two middle numbers in a set of even numbers.
  • Calculate the middle of the first half by finding the median of all numbers to the left of the median.
  • Calculate the middle of the second half by finding the median of all numbers to right of median.
  • Subtract middle of first half from middle of second half to find interquartile range.

Interpreting Dot Plots

  • Interpret dot plot as an ordered list.
  • Find median by calculating average between two middle numbers in an even set.
  • Divide data into two halves based on position relative to median.
  • Subtract middle value from second half from that in first half to find interquartile range.

Understanding Median and Interquartile Range

In this section, the speaker explains how to calculate the median and interquartile range of a set of numbers.

Calculating the Median

  • If you have an odd number of numbers, the middle number is the one that has two on either side.
  • The median of the first half is 9.
  • The median of the second half is 12.

Calculating Interquartile Range

  • Interquartile range is calculated by subtracting the median of the first half from the median of the second half.
  • Therefore, in this example, interquartile range would be 12 minus 9 which equals 3.
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Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th/v/calculating-interquartile-range-iqr Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/humanities/world-history/renaissance-and-reformation/mughal-dynasty/v/mughal-rule-in-india Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th/v/calculating-interquartile-range-iqr Learn how to calculate the interquartile range, which is a measure of the spread of data in a data set. Practice this lesson yourself on KhanAcademy.org right now: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th/e/calculating-the-interquartile-range--iqr-?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Watch the next lesson: https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Missed the previous lesson? https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6th-box-whisker-plots/v/interpreting-box-plots?utm_source=YT&utm_medium=Desc&utm_campaign=6thgrade Grade 6th on Khan Academy: By the 6th grade, you're becoming a sophisticated mathemagician. You'll be able to add, subtract, multiply, and divide any non-negative numbers (including decimals and fractions) that any grumpy ogre throws at you. Mind-blowing ideas like exponents (you saw these briefly in the 5th grade), ratios, percents, negative numbers, and variable expressions will start being in your comfort zone. Most importantly, the algebraic side of mathematics is a whole new kind of fun! And if that is not enough, we are going to continue with our understanding of ideas like the coordinate plane (from 5th grade) and area while beginning to derive meaning from data! (Content was selected for this grade level based on a typical curriculum in the United States.) About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content. For free. For everyone. Forever. #YouCanLearnAnything Subscribe to Khan Academy à ªs 6th grade channel: https://www.youtube.com/channel/UCnif494Ay2S-PuYlDVrOwYQ?sub_confirmation=1 Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy