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The data below represents the heights, in inches, of eight 6^("th ") graders in Mr. Thut's math class. 55,65,59,47,51,51,54,62 The minimum height is 47 and the maximum height is 65 . What other values make up the five number summary for this set of data? First Quartile: Median: Third Quartile:

The data below represents the heights, in inches, of eight 6th  6^{\text {th }} graders in Mr. Thut's math class. 55,65,59,47,51,51,54,62 55,65,59,47,51,51,54,62 \newlineThe minimum height is 4747 and the maximum height is 6565 . What other values make up the five number summary for this set of data?\newlineFirst Quartile:\newlineMedian:\newlineThird Quartile:

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Q. The data below represents the heights, in inches, of eight 6th  6^{\text {th }} graders in Mr. Thut's math class. 55,65,59,47,51,51,54,62 55,65,59,47,51,51,54,62 \newlineThe minimum height is 4747 and the maximum height is 6565 . What other values make up the five number summary for this set of data?\newlineFirst Quartile:\newlineMedian:\newlineThird Quartile:
  1. Arrange Data in Ascending Order: Arrange the data in ascending order.\newlineThe given data is: 55,65,59,47,51,51,54,6255, 65, 59, 47, 51, 51, 54, 62.\newlineArranged in ascending order: 47,51,51,54,55,59,62,6547, 51, 51, 54, 55, 59, 62, 65.
  2. Find Median: Find the median of the data set.\newlineSince there are 88 data points, the median will be the average of the 44th and 55th values.\newlineMedian =(54+55)/2=109/2=54.5= (54 + 55) / 2 = 109 / 2 = 54.5.
  3. Find First Quartile (Q11): Find the first quartile (Q1Q_1).\newlineThe first quartile is the median of the first half of the data set.\newlineFirst half of the data set: 4747, 5151, 5151, 5454.\newlineSince there are 44 data points, Q1Q_1 is the average of the 22nd and 33rd values.\newlineFirst Quartile (Q1Q_1) = 474700.
  4. Find Third Quartile (Q33): Find the third quartile (Q33). The third quartile is the median of the second half of the data set. Second half of the data set: 55,59,62,6555, 59, 62, 65. Since there are 44 data points, Q33 is the average of the 22nd and 33rd values. Third Quartile (Q33) = (59+62)/2=121/2=60.5(59 + 62) / 2 = 121 / 2 = 60.5.

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