Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
AP STATISTICS Chapter 1 – Exploring Data Exploring the Basics Day 4 A. Section 1.2 Name _______________________ Date __________ Period _____ Describing Distributions with Numbers - Continued Key Vocabulary: measures of center (mean, median, mode, mid-range) resistant measure (of center), five-number summary, box-and-whisker plot, quartiles (first – Q1 and third – Q3), interquartile range (IQR = Q3 – Q1), outlier criterion (>Q3+1.5IQR, <Q1-1.5IQR), modified box plot, measures of spread and variability (range, variance, standard deviation, IQR, etc.), degrees of freedom, linear transformation (xnew = a+bxold), comparing distributions, back-to-back stemplots, parallel box plots B. Ages of presidents at inauguration data: 1. 2. 3. 4. 5. 6. 7. 8. Enter data in list 1, check accuracy, sort ascending, make split stem plot median, mode, mid-range as measures of center – define and find calculate mean with calculator, introduce formula, yellow packet resistant measure – define and show how median is and mean is not show median and mean relationship for symmetric and skew distributions – when to use each five number summary (min, Q1, med, Q3, max), box-and-whisker, etc. measures of spread – define and find, introduce formula for s.d., yellow packet linear transformation – ages to dog years – explore and conclude 57 61 57 57 58 57 61 54 68 51 49 64 50 48 65 52 56 46 54 49 51 47 55 55 54 42 51 56 55 51 54 51 60 61 43 55 56 61 52 69 64 46 54 1 xi x 2 n 1 s measures spread about mean and should only be used when mean is measure of center s = 0 only when there is no spread; otherwise s > 0 and larger s means more spread s, like x , is not resistant to large values and skewness of distributions 1 xi x 2 s is the square root of the variance: s x2 n 1 Properties of the Standard Deviation : s x 1. 2. 3. 4. C. Comparing distributions, back-to-back stem plots, parallel box plots: Hammerin’ Hank Aaron versus Barry “roid” Bonds Data on for Barry on page 38 and for Hank on page 40 Compare by making back-to-back stem plots and parallel box plots Find five number summaries by hand from stem plots and confirm from calculator D. Calculate variance and standard deviation (by hand) for this data set: 1, 3, 5, 7, 9 E. Investigate effect of adding 27 to the data above on mean and standard deviation F. Homework: Follow the directions for each question. Highest quality work expected!!! 1. Exercise 1.36 SSHA Scores on page 47: understanding comparing distributions 2. Exercise 1.55 on page 63: understanding linear transformations: xnew = a+bxold 3. Exercise 1.57 Better Corn on page 63: understanding summary statistics comparisons G. Prepare for Quiz