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1.3 – Five-Number Summaries and box plots

A Five-Number Summary simplifies data description using five key metrics: minimum, first quartile, median, third quartile, and maximum. This approach aids in understanding data distribution. For instance, analyzing Michael Jordan's total points during the 1997-1998 season provides practical insights into data summarization. Additionally, box plots visually represent these statistics. The lesson includes constructing box plots using data from previous investigations, enhancing your data analysis skills.

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1.3 – Five-Number Summaries and box plots

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  1. 1.3 – Five-Number Summaries and box plots

  2. Five-number summary • We can use a Five-Number Summary to describe data in a way that is easier to read. • It uses five boundary points: • The minimum (the smallest number) • The first quartile (the median of the first half) • The median (the middle number) • The third quartile (the median of the second half) • The maximum(the largest number)

  3. Michael Jordan interview Michael Jordan interview

  4. Example: michaeljordan’s total points • Example: Find the five-number summary for the number of points scored by the Chicago Bulls during the 1997 – 1998 season. First, order the data from smallest to largest: 167, 198, 288, 375, 376, 416, 663, 764, 841, 984, 2357 Minimum Median Maximum 1st Quartile (middle of 1st half) 3rd Quartile (middle of 2nd half) Box Plot or Box-and-Whisker Plot Can you find the five-number summary in the box plot?

  5. Investigation 1.3: pennies in a box • In investigation 1.3, we will see how to use the five-number summary to construct a box plot. • You will need your dot plot from Investigation 1.2: Making “Cents” of the Center • Just do Steps 1 – 6. • We will do Steps 7 and 8 as a class later.

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