Section 11.2 Transformations of Data

The data sets below gives the test scores of several students. 90, 92, 82, 92, 94 a) Find the mean, median, mode, range, and standard deviation of the test scores. b) Each student receives 10 points for correctly answering a bonus question. Find the mean, median, mode, range, and standard deviation of the test scores including the bonus question. Mean: 90 Median: 92 Mode: 92 Range: 12 Standard Deviation: 4.2 Mean: 100 Median: 102 Mode: 102 Range: 12 Standard Deviation: 4.2

The data sets below gives the test scores of several students. 90, 92, 82, 92, 94 a) Find the mean, median, mode, range, and standard deviation of the test scores. b) Each student’s score is multiplied by 1/2, so that the test is worth only 50 points rather than 100. Find the mean, median, mode, range, and standard deviation of the new test scores. Mean: 90 Median: 92 Mode: 92 Range: 12 Standard Deviation: 4.2 Mean: 45 Median: 46 Mode: 46 Range: 6 Standard Deviation: 2.1

The data sets below gives the prices in dollars of car batteries at an auto parts store. 80, 60, 65, 90, 45, 55, 70, 55, 65, 90, 65 Mean: 67.3 Median: 65 Mode: 65 Range: 45 Standard Deviation: 13.7 a) The store rises the prices of each battery $5. Find the mean, median, mode, range, and standard deviation of the new prices. b) The store rises the prices of each battery 10%. Find the mean, median, mode, range, and standard deviation of the new prices. Let’s use what we learned!