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Algebra Two, Statistics Unit Day 4 Name: ________________________ Date: _____________ CALCULATIING STANDARD DEVIATION Standard deviation is the square root of the ______________________. In the above example, the variance is ______. The __________________ of the data is the highest value minus the lowest value. Example 2. Find the mean, standard deviation and range of a student’s test scores for the 3rd nine weeks: 101, 94, 85, 54. Example 3. Find the mean, standard deviation and range of 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10. ****Then will show students how to complete these two calculations on the TI. Example 4. Here are the scores for a recent statistics test. Enter this data into list 1 of your graphing calculator. Example 5. How many deviations is 335 from the mean? The mean test score on a standardized test is 216; the standard deviation is 52. Data Values: 127, 98, 236, 192, 267, 335, 217, 365, 472, 177 Algebra Two, Statistics Unit Day 4 Name: ________________________ Date: _____________ HOMEWORK: CALCULATIING STANDARD DEVIATION 1. Find the mean, standard deviation and range of the following sets of data: a. 232, 254, 264, 274, 287, 298, 312, 342, 398 b. 2.2, 2.2, 2.3, 2.4, 2.4, 2.4, 2.5, 2.5, 2.5, 2.6 2. How many deviations is 13 from the mean? The mean age of students in a school is 16.4 years; the standard deviation is 1.5. Data Values: 13, 17, 18, 15, 16, 14, 15, 18, 17, 16, 15, 16, 13 3. The average rainfall for the month of April for several Eastern cities is as follows: 3.0, 3.4, 4.3, 3.6, 3.6, 2.9, 2.8, 3.9, 2.8, 2.9, 4.5, 3.8, 4.2, 3.6, 4.0, 2.9, 3.1 a. Find the mean, standard deviation and range of the data. b. Within how many standard deviations is rainfall of 2.8 inches from the mean? 4. The test scores on a college algebra test are as follows: 67, 69, 71, 75, 78, 78, 83, 85, 85, 85, 85, 86, 87, 89, 92, 95, 98, 98, 98, 100, 100, 100, 100, 100, 100. a. Within how many standard deviations of the mean is a score of 65? (Hint, you have to calculate the standard deviation first!) b. Within how many standard deviations of the mean is a score of 100?