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Math 7

Math 7. DEALING WITH DATA MEASURES OF TENDENCY QUARTILES BOX AND WHISKERS. STANDARDS.

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Math 7

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  1. Math 7 • DEALING WITH DATA • MEASURES OF TENDENCY • QUARTILES • BOX AND WHISKERS

  2. STANDARDS • MCC7.SP.3: Informally assess the degree of visual overlap of two numerical data distributions with similar variability’s, measuring the difference between the centers by expressing it as a multiple of a measure of variability. For example, the mean height of players on the basketball team is 10cm greater than the mean height of players on the soccer team, about twice the variability (mean absolute deviation) on either team; on a dot plot, the separation between the two distributions of heights is noticeable. • MCC7.SP.4: Use measures of center and measures of variability for numerical data from random samples to draw informal comparative inferences about two populations. For example, decide whether the words in a chapter of a seventh-grade science book are generally longer than the words in a chapter of a fourth-grade science book.

  3. Measure of Central Tendency • MEAN = AVERAGE • MEDIAN = MIDDLE • MODE = MOST OFTEN • RANGE = LARGEST # - SMALLER#

  4. Steps To Finding Measures of Central Tendency • Arrange the numbers in order from least to greatest • Add “all” the numbers together and divide by the total number of numbers (mean). • Find the middle number. This is the median. If there are two numbers in the middle, add the two numbers and divide by 2. • Look for number that appears most often.

  5. Example • Data Set: 21, 3, 14, 8, 12, 2, 3 • Least to Greatest: 2, 3, 3, 8, 12, 14, 21 • Total of “All” numbers = 63 • 63 divided by 7 = 9 (this is the mean) • Middle Number = 8 (this is the median) • Number appearing most often = 3 (this is the Mode)

  6. QUARTILES 1ST QUARTILE • The median of the lower half of the numbers 2nd QUARTILE • (Median) The middle of the whole set of data 3rd QUARTILE • The median of the upper half of the numbers

  7. Example • Data Set: 2, 3, 3, 8, 12, 14, 21 • 1st Quartile = 3 • 2nd Quartile (median) = 8 • 3rd Quartile = 14

  8. BOX AND WHISKERS • A box and whiskers is a graph that divides a set of data into four parts. • Lower Extreme = 2 • Upper Extreme = 21 • 1st Quartile = 3 • 2nd Quartile (median) = 8 • 3rd Quartile = 14

  9. Example • Data Set: 2, 3, 3, 8, 12, 14, 21 __________________________________ LE = 2 1st Q = 3 3rd Q = 14 UE = 19 2nd Q = 8

  10. NOW YOU TRY • LOOK ON THE BACK OF THE GRAPHIC ORGANIZER • USE THE DATA SET GIVEN • GOOD LUCK  !!!!

  11. CLOSINGWrite answers on Sticky Note and paste on Door when exiting class • What is the Mean, Median and Mode of the following Data Set: 15, 5, 12, 8, 5

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