measures of variation describe how the data in a set are spread out
Kinds of Variation Standard Deviation (s, ): A measure of how far the numbers in a data set deviate from the mean. 2, Variance (s ): A measure of how far away each value in the data set is from the mean. represents the average distance the data points are from the mean.
standard deviation:
s
variance:
𝒔𝟐
Using the Calculator 1. STAT/1 enter the data in 2. STAT/CALC/1 Some calcs will pop-up a menu. Just make sure that LIST: has in it. Then ENTER down to CALCULATE Other calcs will just have a space to type 3. A statistical analysis will appear on the screen. Extract the needed information. ̅ Examples 1. Find the mean, standard deviation, and variance: 3.4, 4.5, 2.3, 5.9, 9.8, 3.3, 2.1, 3.0, 2.9, 18.2, 9.3, 1.1
2. Determine how many calls you have made within the past two days. Record the class data in the space below. Then find the mean, standard deviation and variance.
3. The table displays the number of hurricanes in the Atlantic Ocean from 1992 to 2006. State the mean, standard deviation and variance. Within how many standard deviations from the mean do all the points fall?
The Normal Distribution distribution – a way to display data that vary randomly about the mean; forms a normal curve (bell curve) nomenclature ̅
Examples 1. The following normal distribution describes the repair times for a local auto shop. Answer the questions below:
48
66
84 156
102
120
138
156
a) What is the mean repair time for the auto shop? b) What percentage of repairs take between 84 and 120 minutes? c) What percentage of the repairs take less than 2 hours? d) What percentage of repairs are between 84 minutes and 138 minutes? e) If the shop did 200 repairs this week, approximately how many of them took more than 2 hours? 2. Sketch a normal curve for the following distribution: mean = 45, standard deviation = 5
3. Given a normal distribution with 3,000 data points. a) What percent of the data falls between 71 and 80? b) How many data points fall below 68? c) How many data points fall above 80?
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B. When does the object hit the ground? C. When is the height 1700ft? D. Find the maximum height reached by the object. E. When does the object reach its maximum height? 17. An object is fired upwards from the top of a 200 foot tower at a velocity of
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... Day 4 Notes Period 1.notebook. 3. December 04, 2014. Ex Given: Circle O, FL=3, GO=5, OP=4. Find: HJ. Page 3 of 8. Unit 7 Math 3 Day 4 Notes Period 1.pdf.