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13 15 17 19 19 21 21 25smallest value 13first quartile 16third quartile 21largest value 25median 19Ĥ-4Variability12 14 16 18 20 22 24 26 28Course 3Use the given data to make a box-and-whisker plot.Step 3. Order the data and find the smallest value, first quartile, median, third quartile, and largest value. Draw a number line and plot a point above each value from Step 1. 13 15 17 19 19 21 21 25smallest value: 13largest value: 25Ĥ-4Variability12 14 16 18 20 22 24 26 28Course 3Additional Example 2 ContinuedUse the given data to make a box-and-whisker plot.Step 2. The lower fourth and upper fourth quarters are represented by “whiskers” that extend to the smallest and largest values.MedianFirst quartileThird quartileĤ-4Variability15 + 17221 + 212third quartile: = 21first quartile: = 16 19 + 192median: = 19Course 3Additional Example 2: Making a Box-and-Whisker PlotUse the given data to make a box-and-whisker plot: 21, 25, 15, 13, 17, 19, 19, 21Step 1. The middle half of the data is represented by a “box” with a vertical line at the median. 25, 38, 66, 19, 91, 47, 13Ĥ-4Variabilit圜ourse 3Try This: Example 1BFind the range and the first and third quartiles for the data set.B. 75, 61, 88, 79, 79, 99, 63, 77Ĥ-4Variabilit圜ourse 3Try This: Example 1AFind the range and the first and third quartiles for the data set.A. 15, 83, 75, 12, 19, 74, 21Order the values.12 15 19 21 74 75 83 range: 83 – 12 = 71first quartile: 15third quartile: 75Ĥ-4Variabilit圜ourse 3Additional Example 1B: Finding Measures of VariabilityFind the range and the first and third quartiles for the data set.B.
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How to use a box and whisker plot how to#
Here’s how to find the 1st and 3rd quartiles:1st: order data least to greatest2nd: if odd amount, middle number is medianIf even amount, add 2 middle numbers and divide by 2 for median3rd: Divide data in half with a line if odd-don’t include median (draw line through it) if even-draw line between 2 middle data points4th: the first quartile is the middle half of the left side of data5th: the third quartile is the middle half of the right side of the dataĤ-4Variabilit圜ourse 3Additional Example 1A: Finding Measures of VariabilityFind the range and the first and third quartiles for the data set.A. For the kitten data, the range is 6 - 2 = 4.Lower halfUpper half2 3 3 3 3 3 3 4 4 4 4 4 4 4 4 5 5 5 5 5 5 5 5 5 5 5 6Quartilesdivide a data set into four equal parts. 190.3 – 23.4Ĥ-4Variabilit圜ourse 3Objective: Learnto find measures of variability.ĭoes the mean, median or mode give any indication of how the data is spread out or is it a central view of the data?ĥ Pieces of Data in Box & Whisker Plot (in order from left to right)Lower extreme-lowest numberFirst quartile-middle of lower-halfMedian-middle numberThird quartile-middle of upper halfUpper extreme-largest numberġ 2 3 4 5 6 7 8 9Box and Whisker PlotUpper extremeLower extremeMedianFirst quartileThird quartileġ 2 3 4 5 6 7 8 9Range-largest minus the smallest it’s the entire length of the lineĤ-4VariabilityThird quartile: 5 median of upper halfFirst quartile: 3 median of lower halfMedian: 4 (second quartile)Course 3DataThe range of a data set is the largest value minus the smallest value.
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Find the median of the test scores.Find the difference.3.