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Advanced Algebra

Advanced Algebra. What are the measures of Central Tendency?. Measures of Central Tendency. Mean average of the data Median Middle number. (Data arranged from smallest to largest) Mode data that appears most often Range difference between the smallest and largest numbers.

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Advanced Algebra

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  1. Advanced Algebra What are the measures of Central Tendency?

  2. Measures of Central Tendency Mean average of the data Median Middle number. (Data arranged from smallest to largest) Mode data that appears most often Range difference between the smallest and largest numbers

  3. Find Mean, Median, Mode and Range 2, 6, 6, 8, 12, 14 • Mean: (2+6+6+8+12+14)/6 = 8 • Median: (6+8)/2 = 7 • Mode: 6 • Range: 14 – 2 = 12

  4. Quartiles • Interquartile Range (IQR) = Q3 – Q1 • Quartiles are the values that divide a list of numbers into quarters. • First, put numbers in order • Then find the median • The take the median of the first half, and find the median of the second half • Q1 – lower quartile • Q2 – median • Q3 – upper quartile

  5. Find Q1, Q2, Q3 and IQR5, 8, 4, 4, 6, 3, 8

  6. Box and Whisker Plot • Find Q1, Q2, Q3 and make box and whisker plot for the following data: 8, 11, 20, 10, 2, 17, 15, 5, 16, 15, 25, 6 Make box from Q1, Q2 and Q3 Whiskers come from lowest and highest values

  7. Steps to find Standard Deviation • Find the mean of the data set. • Find the variance. Subtract the mean from each of the pieces of data and square it to form a new set. • Find the mean of this new set. • The standard deviation is the square root of the mean.

  8. Find the Standard Deviation 33, 6, 4, 5, 7 • Mean = 55 ÷ 5 = 11 • New Data • 33 – 11 = 222 = 484 • 6 – 11 = (-5)2 = 25 • 4 – 11 = (-7)2 = 49 • 5 – 11 = (-6)2 = 36 • 7 – 11 = (-4)2 = 16 • Mean = 610 ÷ 5 = 122 • Standard Deviation = √122 = 11.0

  9. Find the Standard Deviation 200, 64, 150, 160, 110, 90 • Mean = 774 ÷ 6 = 129 • New Data • 200 – 129 = 712 = 5041 • 64 – 129 = (-65)2 = 4225 • 150 – 129 = 212 = 441 • 160 – 129 = 312 = 961 • 110 – 129 = (-19)2 = 361 • 90 – 129 = (-39)2 = 1521 • Mean = 12550 ÷ 6 = 2091.7 • Standard Deviation = √2091.7 = 45.7

  10. Test Scores 82, 91, 74, 78, 94, 68, 74, 88, 64, 42, 72, 82, 79, 99, 98, 75, 61, 78, 86, 69, 58, 82

  11. [STAT] Key Used to store and manipulate data.

  12. [STAT] , 1:Edit Use to reset all data lists and ready for new data.

  13. Clearing Data from Lists Use your arrow keys to highlight the name of the list to be cleared. Use [CLEAR] to erase data

  14. [STAT] , 1:EDIT Allows you to insert data into lists

  15. Test Scores 82, 91, 74, 78, 94, 68, 74, 88, 64, 42, 72, 82, 79, 99, 98, 75, 61, 78, 86, 69, 58, 82

  16. [STAT],CALC, 1:1-Var Stats Command used to give data about normal distribution. Mean, Standard Deviation, etc.

  17. x Mean ∑x Sum Q1, Q3, Med Σx Standard Deviation

  18. Football Home Team Scores 42, 49, 36, 32, 10, 19, 38, 40, 41, 50, 40, 49, 30, 20, 48, 47, 40, 41, 32, 37, 25, 41, 43, 37, 39

  19. Babe Ruth’s Home Runs 11, 47, 29, 60, 54, 54, 59, 46, 41, 49, 46, 46

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