Shifting and Rescaling a Data Set Worksheet with Answer Key

What's on the worksheet

1. Each cell gives one summary of a data set x and the rule applied to every value.
   \bar{x} = 14, y = x + 9; find \bar{y}\sigma_x = 3.5, y = x - 20; find \sigma_ymedian 8, y = 5x; find the new median\sigma_x^2 = 4, y = 3x; find \sigma_y^2IQR 10, y = 2x + 7; find the new IQR
2. A hiking trail has signposts along the way.
3. Two farms weighed their watermelons.
4. A printer needs 15 seconds to warm up for each print job and then 4 seconds for each page.
5. A tutoring center sent four families bills of 30, 35, 45 and 50 dollars.
6. Samir gave a quiz marked out of 20 points.
7. Malik says that every score on a test was changed by one rule y = a + bx with b > 0.
8. Five bags of flour are weighed, in grams: