Math 3 College Prep

Unit 10: Statistics

Day 2: Variance & Normal Distributions

Measures of Variation 

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?

Unit 10 Math 3 CP Student Guided Notes Day 2.pdf

Sign in. Loading… Whoops! There was a problem loading more pages. Retrying... Whoops! There was a problem previewing this document. Retrying.

508KB Sizes 0 Downloads 227 Views

Recommend Documents

Unit 9 Math 3 College Prep Student Guided Notes Day 5.pdf ...
Unit 9 Math 3 College Prep Student Guided Notes Day 5.pdf. Unit 9 Math 3 College Prep Student Guided Notes Day 5.pdf. Open. Extract. Open with. Sign In.

Unit 10 Math 3 CP Worksheet 3.pdf
Connect more apps... Try one of the apps below to open or edit this item. Unit 10 Math 3 CP Worksheet 3.pdf. Unit 10 Math 3 CP Worksheet 3.pdf. Open. Extract.

Unit 9 Math CP Day 1 Notes Completed.pdf
Unit 9 Math CP Day 1 Notes Completed.pdf. Unit 9 Math CP Day 1 Notes Completed.pdf. Open. Extract. Open with. Sign In. Main menu.

Unit 10 Math 3 CP Worksheet 2.pdf
Connect more apps... Try one of the apps below to open or edit this item. Unit 10 Math 3 CP Worksheet 2.pdf. Unit 10 Math 3 CP Worksheet 2.pdf. Open. Extract.

Unit 8 Math 3 CP Notes Day 1--Equations of Circles completed.pdf ...
Unit 8 Math 3 CP Notes Day 1--Equations of Circles completed.pdf. Unit 8 Math 3 CP Notes Day 1--Equations of Circles completed.pdf. Open. Extract. Open with.

Unit 2 Math 3 CP Notes Day 4--Solving Exponential Equations.pdf ...
La taula de doble entrada. Page 2 of 9. Page 3 of 9. Unit 2 Math 3 CP Notes Day 4--Solving Exponential Equations.pdf. Unit 2 Math 3 CP Notes Day 4--Solving Exponential Equations.pdf. Open. Extract. Open with. Sign In. Main menu. Displaying Unit 2 Mat

Unit 10 Math 3 CP Day 1 Population, Samples, Parameters & Statistics ...
Unit 10 Math 3 CP Day 1 Population, Samples, Parameters & Statistics, Survey, Experiment, Observation.pdf. Unit 10 Math 3 CP Day 1 Population, Samples, ...

Unit 7 Math 3 Notes Day 4.pdf
Download. Connect more apps... Try one of the apps below to open or edit this item. Unit 7 Math 3 Notes Day 4.pdf. Unit 7 Math 3 Notes Day 4.pdf. Open. Extract.

Unit 10 Math 3 CP Worksheet 3--z-Scores, percentiles, margin of error ...
Unit 10 Math 3 CP Worksheet 3--z-Scores, percentiles, margin of error and confidence intervals.pdf. Unit 10 Math 3 CP Worksheet 3--z-Scores, percentiles, ...

Unit 4 Math 3 CP Worksheet 2 Key.pdf
Unit 4 Math 3 CP Worksheet 2 Key.pdf. Unit 4 Math 3 CP Worksheet 2 Key.pdf. Open. Extract. Open with. Sign In. Main menu.

Unit 6 Math 3 CP Worksheet 2.pdf
Unit 6 Math 3 CP Worksheet 2.pdf. Unit 6 Math 3 CP Worksheet 2.pdf. Open. Extract. Open with. Sign In. Main menu. Displaying Unit 6 Math 3 CP Worksheet ...

Unit 2 Math 3 CP Worksheet 6 Key.pdf
Unit 2 Math 3 CP Worksheet 6 Key.pdf. Unit 2 Math 3 CP Worksheet 6 Key.pdf. Open. Extract. Open with. Sign In. Main menu.

Unit 7 Math 3 CP Worksheet 7.pdf
Download. Connect more apps... Try one of the apps below to open or edit this item. Unit 7 Math 3 CP Worksheet 7.pdf. Unit 7 Math 3 CP Worksheet 7.pdf. Open.

Unit 9 Math 3 CP Worksheet 6--Review.pdf
Unit 9 Math 3 CP Worksheet 6--Review.pdf. Unit 9 Math 3 CP Worksheet 6--Review.pdf. Open. Extract. Open with. Sign In. Main menu.

Unit 2 Math 3 CP Worksheet 5.pdf
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

Unit 5 Math 3 CP Worksheet 4 Review.pdf
Unit 5 Math 3 CP Worksheet 4 Review.pdf. Unit 5 Math 3 CP Worksheet 4 Review.pdf. Open. Extract. Open with. Sign In. Main menu.

Unit 5 Math 3 CP Worksheet 2.pdf
Download. Connect more apps... Try one of the apps below to open or edit this item. Unit 5 Math 3 CP Worksheet 2.pdf. Unit 5 Math 3 CP Worksheet 2.pdf. Open.

Unit 4 Math 3 CP Worksheet 7---Review.pdf
Unit 4 Math 3 CP Worksheet 7---Review.pdf. Unit 4 Math 3 CP Worksheet 7---Review.pdf. Open. Extract. Open with. Sign In. Main menu.

Unit 18 Math 3 CP Worksheet 5.pdf
Connect more apps... Try one of the apps below to open or edit this item. Unit 18 Math 3 CP Worksheet 5.pdf. Unit 18 Math 3 CP Worksheet 5.pdf. Open. Extract.

Unit 1 Math 3 CP Day 7--systems Applications.pdf
Find the two angles. Page 3 of 9. Unit 1 Math 3 CP Day 7--systems Applications.pdf. Unit 1 Math 3 CP Day 7--systems Applications.pdf. Open. Extract. Open with.

Unit 1 Math 3 CP Day 6--Systems of Equations completed.pdf ...
Unit 1 Math 3 CP Day 6--Systems of Equations completed.pdf. Unit 1 Math 3 CP Day 6--Systems of Equations completed.pdf. Open. Extract. Open with. Sign In.

Unit 7 Math 3 Day 6 Notes Period 2.pdf
Unit 7 Math 3 Day 6 Notes Period 2.pdf. Unit 7 Math 3 Day 6 Notes Period 2.pdf. Open. Extract. Open with. Sign In. Main menu.

Unit 7 Math 3 Day 4 Notes Period 1.pdf
... 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.

Unit 7 Math 3 Notes Day 2 Period 2.pdf
Unit 7 Math 3 Notes Day 2 Period 2.pdf. Unit 7 Math 3 Notes Day 2 Period 2.pdf. Open. Extract. Open with. Sign In. Main menu.