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AP STATISTICS LESSON 1 – 2 (DAY 3)

AP STATISTICS LESSON 1 – 2 (DAY 3) . LINEAR TRANSFORMATIONS AND COMPARING DISTRIBUTIONS. ESSENTIAL QUESTION: How is the shape and spread effected by linear transformations?. Objective: To transform data and find the effect on the shape and spread. Linear Transformation.

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AP STATISTICS LESSON 1 – 2 (DAY 3)

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  1. AP STATISTICSLESSON 1 – 2(DAY 3) LINEAR TRANSFORMATIONS AND COMPARING DISTRIBUTIONS

  2. ESSENTIAL QUESTION:How is the shape and spread effected by linear transformations? Objective: • To transform data and find the effect on the shape and spread.

  3. Linear Transformation • A linear transformation changes the original variable x into the new variable xnew given by an equation of the form xnew = a + bx • Adding the constant a shifts all values of x upward or downward by the same amount. • Multiplying by the positive constant b changes the size of the unit of measurement.

  4. Exercise:Page 53Example 1.15LOS ANGELES LAKERS’ SALARIES

  5. Effects of Linear Transformation To see the effect of a linear transformation on measures of center and spread, apply these rules: • Multiplying each observation by a positive number b multiplies both measures of center (mean and median) and measures of spread ( standard deviation and IQR) by b. • Adding the same number a ( either positive or negative to each observation adds a to measures of center and to quartiles but does not change measures of spread.

  6. ExercisesPages 59 – 61 Exercises 1.47: Get Your Hot Dogs Here!Exercise 1.48: Which AP Exam is Easier: Calculus AB or Statistics?Exercise 1.49: Who Makes More?Exercise 1.50: Basketball Playoff Scores

  7. Page 57Example 1.17Swiss Doctors Male doctors: • 27, 50, 33, 25, 86, 25, 86, 25, 85, 31, 37, 44, 20, 36, 59, 34, 28 Female doctors: • 5, 7, 10, 14, 18, 19, 25, 29, 31, 33

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