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Understanding Statistics and Probability: Key Concepts Explained

This guide covers essential topics in statistics and probability including slope, linear equations, permutations, combinations, and measures of variation. It breaks down complex formulas for probability and slope, explains the concepts of horizontal and perpendicular lines, and introduces terms like matrix and scalar multiplication. With examples and clear definitions, learn how to evaluate combinations, understand the rate of change, and visualize data through histograms and box-and-whisker plots. Essential for students and enthusiasts looking to deepen their mathematical understanding!

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Understanding Statistics and Probability: Key Concepts Explained

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  1. Statistics Probability Slope “Line” Them Up! Polynomials 5 pt 5 pt 5 pt 5 pt 5 pt 10 pt 10 pt 10 pt 10 pt 10 pt 15 pt 15 pt 15 pt 15 pt 15 pt 20 pt 20 pt 20 pt 20 pt 20 pt 25 pt 25 pt 25 pt 25 pt 25 pt

  2. Number of successful outcomes Total possible outcomes

  3. What is the formula for probability?

  4. An arrangement or listing in which order is important.

  5. What is a permutation?

  6. This is the formula to evaluate a combination.

  7. What is ?

  8. The value of 0!

  9. What is 1 (one)?

  10. The value of 5P5.

  11. What is 5! or 120 ?

  12. Describe the slope of this figure.

  13. What is a negative slope?

  14. The slope for this set of ordered pairs (4, 8) and (-6, 3). (reduce if possible)

  15. What is 1/2?

  16. Y – 2 = -1/3 ( x + 5 ) The slope of this linear equation.

  17. What is – 1/3?

  18. DAILY DOUBLE!!!!! This is the inverse slope of a horizontal line.

  19. What is undefined?

  20. Another term for slope that describes how a quantity is changing over time.

  21. What is rate of change?

  22. An equation in the form Ax + By = C

  23. What is standard form?

  24. y1 – y2 x1 – x2 M=

  25. What is the formula for slope?

  26. The number of solutions for the above system of equations.

  27. What are no solutions?

  28. This type of line has a constant value for the y-coordinate.

  29. What is a horizontal line?

  30. These two equations create these type of lines. Y= ½ x –7 Y = -2x + 5

  31. What are perpendicular lines?

  32. A rectangular arrangement of numbers in rows and columns.

  33. What is a matrix?

  34. The above matrix represents this.

  35. What is scalar multiplication?

  36. What is a histogram?

  37. Measures that describe the spread of values in a set of data.

  38. What are measures of variation?

  39. Name the diagram shown above.

  40. What is parallel box-and-whisker plots?

  41. A number, a variable, or a product of a number and one or more variables.

  42. What is a monomial?

  43. This is done when multiplying two powers that have the same base.

  44. What is add the exponents?

  45. Simplify: x7y12 x6y3

  46. What is xy9?

  47. DAILY DOUBLE!!!!! Solve:

  48. What is negative one (-1)?

  49. (x-5) (x+7) = ( x - 5 ) ( x + 7 ) The above is an example of this method.

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