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QUARTILES

QUARTILES. Data can be separated into sections called quartiles. Each quartile contains 25% of the data in the set. QUARTILES. Data can be separated into sections called quartiles. Each quartile contains 25% of the data in the set. Steps : 1. Arrange your data from small to big

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QUARTILES

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  1. QUARTILES Data can be separated into sections called quartiles. Each quartile contains 25% of the data in the set.

  2. QUARTILES Data can be separated into sections called quartiles. Each quartile contains 25% of the data in the set. Steps : 1. Arrange your data from small to big 2. Find the “middle” of the data - this becomes the MEDIAN 3. Find the “middle” of the left side and right side next to the median of the data - these become the first and third quartiles

  3. QUARTILES Data can be separated into sections called quartiles. Each quartile contains 25% of the data in the set. Steps : 1. Arrange your data from small to big 2. Find the “middle” of the data - this becomes the MEDIAN 3. Find the “middle” of the left side and right side next to the median of the data - these become the first and third quartiles EXAMPLE : Find the median, 1st and 3rd quartiles for the data set below 3 , 5 , 2 , 7 , 4 , 6 , 1

  4. QUARTILES Data can be separated into sections called quartiles. Each quartile contains 25% of the data in the set. Steps : 1. Arrange your data from small to big 2. Find the “middle” of the data - this becomes the MEDIAN 3. Find the “middle” of the left side and right side next to the median of the data - these become the first and third quartiles EXAMPLE : Find the median, 1st and 3rd quartiles for the data set below 3 , 5 , 2 , 7 , 4 , 6 , 1 Arrange in order 1 , 2 , 3 , 4 , 5 , 6 , 7

  5. QUARTILES Data can be separated into sections called quartiles. Each quartile contains 25% of the data in the set. Steps : 1. Arrange your data from small to big 2. Find the “middle” of the data - this becomes the MEDIAN 3. Find the “middle” of the left side and right side next to the median of the data - these become the first and third quartiles EXAMPLE : Find the median, 1st and 3rd quartiles for the data set below 3 , 5 , 2 , 7 , 4 , 6 , 1 Arrange in order 1 , 2 , 3 , 4 , 5 , 6 , 7 Find the middle ( median ) MEDIAN

  6. QUARTILES Data can be separated into sections called quartiles. Each quartile contains 25% of the data in the set. Steps : 1. Arrange your data from small to big 2. Find the “middle” of the data - this becomes the MEDIAN 3. Find the “middle” of the left side and right side next to the median of the data - these become the first and third quartiles EXAMPLE : Find the median, 1st and 3rd quartiles for the data set below 3 , 5 , 2 , 7 , 4 , 6 , 1 Arrange in order 1 , 2 , 3 , 4 , 5 , 6 , 7 Find the middle ( median ) Find the middle of each side… MEDIAN 3rd Quartile 1st Quartile

  7. QUARTILES When an even number of data items appear, the median will fall in between two middle data items. Add the two data items and then divide by two to find the median. This could also occur for the 1st and 3rd quartile. If the middle of the left and right side is in between two data items, add them and divide by two.

  8. QUARTILES When an even number of data items appear, the median will fall in between two middle data items. Add the two data items and then divide by two to find the median. This could also occur for the 1st and 3rd quartile. If the middle of the left and right side is in between two data items, add them and divide by two. EXAMPLE : Find the median, 1st and 3rd quartiles for the data set below 72 , 81 , 84 , 92 , 82 , 89 , 90 , 77

  9. QUARTILES When an even number of data items appear, the median will fall in between two middle data items. Add the two data items and then divide by two to find the median. This could also occur for the 1st and 3rd quartile. If the middle of the left and right side is in between two data items, add them and divide by two. EXAMPLE : Find the median, 1st and 3rd quartiles for the data set below 72 , 81 , 84 , 92 , 82 , 89 , 90 , 77 Arrange in order 72 , 77 , 81 , 82 , 84 , 89 , 90 , 92

  10. QUARTILES When an even number of data items appear, the median will fall in between two middle data items. Add the two data items and then divide by two to find the median. This could also occur for the 1st and 3rd quartile. If the middle of the left and right side is in between two data items, add them and divide by two. EXAMPLE : Find the median, 1st and 3rd quartiles for the data set below 72 , 81 , 84 , 92 , 82 , 89 , 90 , 77 Arrange in order 72 , 77 , 81 , 82 , 84 , 89 , 90 , 92 Find the middle

  11. QUARTILES When an even number of data items appear, the median will fall in between two middle data items. Add the two data items and then divide by two to find the median. This could also occur for the 1st and 3rd quartile. If the middle of the left and right side is in between two data items, add them and divide by two.

  12. QUARTILES When an even number of data items appear, the median will fall in between two middle data items. Add the two data items and then divide by two to find the median. This could also occur for the 1st and 3rd quartile. If the middle of the left and right side is in between two data items, add them and divide by two. 83 MEDIAN

  13. QUARTILES When an even number of data items appear, the median will fall in between two middle data items. Add the two data items and then divide by two to find the median. This could also occur for the 1st and 3rd quartile. If the middle of the left and right side is in between two data items, add them and divide by two. EXAMPLE : Find the median, 1st and 3rd quartiles for the data set below 72 , 81 , 84 , 92 , 82 , 89 , 90 , 77 Arrange in order 72 , 77 , 81 , 82 , 84 , 89 , 90 , 92 Find the middle Find the 1st and 3rd quartile 83 MEDIAN

  14. QUARTILES When an even number of data items appear, the median will fall in between two middle data items. Add the two data items and then divide by two to find the median. This could also occur for the 1st and 3rd quartile. If the middle of the left and right side is in between two data items, add them and divide by two. 83 MEDIAN

  15. QUARTILES The inner quartile range is found by subtracting the 1st quartile from the 3rd quartile.

  16. QUARTILES The inner quartile range is found by subtracting the 1st quartile from the 3rd quartile. EXAMPLE : Given the data set below, find the inner quartile range. 27 , 34 , 33 , 25 , 29 , 31 , 32

  17. QUARTILES The inner quartile range is found by subtracting the 1st quartile from the 3rd quartile. EXAMPLE : Given the data set below, find the inner quartile range. 27 , 34 , 33 , 25 , 29 , 31 , 32 1. Arrange in order 25 , 27 , 29 , 31 , 32 , 33 , 34

  18. QUARTILES • The inner quartile range is found by subtracting the 1st quartile from the 3rd quartile. • EXAMPLE : Given the data set below, find the inner quartile range. • 27 , 34 , 33 , 25 , 29 , 31 , 32 • Arrange in order 25 , 27 , 29 , 31 , 32 , 33 , 34 • Median = 31 MEDIAN

  19. QUARTILES • The inner quartile range is found by subtracting the 1st quartile from the 3rd quartile. • EXAMPLE : Given the data set below, find the inner quartile range. • 27 , 34 , 33 , 25 , 29 , 31 , 32 • Arrange in order 25 , 27 , 29 , 31 , 32 , 33 , 34 • Median = 31 • 1st quartile = 27 MEDIAN 1st Quartile

  20. QUARTILES • The inner quartile range is found by subtracting the 1st quartile from the 3rd quartile. • EXAMPLE : Given the data set below, find the inner quartile range. • 27 , 34 , 33 , 25 , 29 , 31 , 32 • Arrange in order 25 , 27 , 29 , 31 , 32 , 33 , 34 • Median = 31 • 1st quartile = 27 • 3rd quartile = 33 MEDIAN 1st Quartile 3rd Quartile

  21. QUARTILES • The inner quartile range is found by subtracting the 1st quartile from the 3rd quartile. • EXAMPLE : Given the data set below, find the inner quartile range. • 27 , 34 , 33 , 25 , 29 , 31 , 32 • Arrange in order 25 , 27 , 29 , 31 , 32 , 33 , 34 • Median = 31 • 1st quartile = 27 • 3rd quartile = 33 • Inner quartile range = 33 – 27 = 6 MEDIAN 1st Quartile 3rd Quartile

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