1. SWBAT: Describe the effect of transformations on shape, center, and spread of a distribution of data.
Do Now:
Two measures of center are marked on the distribution shown.
(a) The median is at the yellow line and the mean is at the red line.
(b) The median is at the red line and the mean is at the yellow line.
(c) The mode is at the red line and the median is at the yellow line.
(d) The mode is at the yellow line and the median is at the red line.
(e) The mode is at the red line and the mean is at the yellow line.

2. Effect of Adding (or Subtracting) a Constant
SWBAT: Describe the effect of transformations on shape, center, and spread of a distribution of data.
Effect of Adding (or Subtracting) a Constant
Scores
Transformation
(add 10 to each score) 𝑥 80
Min 67 Q1 76
Med Q3
83.5
Max 93
Range 26
IQR
7.5 Sx
6.07

3. (multiply each score by 2)
SWBAT: Describe the effect of transformations on shape, center, and spread of a distribution of data.
Effect of Multiplying (or Dividing) by a Constant
Scores
Transformation
(multiply each score by 2) 𝑥 80
Min 67 Q1 76
Med Q3
83.5
Max 93
Range 26
IQR
7.5 Sx
6.07

4. SWBAT: Describe the effect of transformations on shape, center, and spread of a distribution of data.
Example: The figure below shows a dotplot of the height distribution for Mr. Lambert’s class, along with summary statistics from computer output.
(a) Suppose that you convert the class’s heights from inches to centimeters (1 inch = 2.54 cm). Describe the effect this will have on the shape, center, and spread of the distribution.   
(b) If Mr. Lambert had the entire class stand on a 6-inch-high platform and then had the students measure the distance from the top of their heads to the ground, how would the shape, center, and spread of this distribution compare with the original height distribution?
(c) Now suppose that you convert the class’s heights to z-scores. What would be the shape, center, and spread of this distribution? Explain.

5. SWBAT: Describe the effect of transformations on shape, center, and spread of a distribution of data.

6. SWBAT: Describe the effect of transformations on shape, center, and spread of a distribution of data.
Exit Ticket:
Suppose the average Score on a national exam is 500 with a standard deviation of 100. If each score is increased by 20 and the result is increased by 10 percent, what are the new mean and standard deviation?
(A) u = 570, s = 100
(B) u = 570, s = 110
(C) u = 572, s = 100
(D) u = 572, s = 110
(E) u = 572, s = 132