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AP Statistics Chapter 1 - Review

AP Statistics Chapter 1 - Review. 2013 Mrs. White. I. Exploring Data. Describing patterns and departures from patterns (20%-30%)

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AP Statistics Chapter 1 - Review

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  1. AP StatisticsChapter 1 - Review 2013 Mrs. White

  2. I. Exploring Data Describing patterns and departures from patterns (20%-30%) Exploring analysis of data makes use of graphical and numerical techniques to study patterns and departures from patterns. Emphasis should be placed on interpreting information from graphical and numerical displays and summaries.

  3. I. Exploring Data • Constructing and interpreting graphical displays of distributions of univariate data (dotplot, stemplot, histogram, cumulative frequency plot) • Center and spread • Clusters and gaps • Outliers and other unusual features • Shape

  4. I. Exploring Data • Summarizing distributions of univariate data • Measuring center: median, mean • Measuring spread: range, interquartile range, standard deviation • Measuring position: quartiles, percentiles, standardized scores (z-scores) • Using boxplots • The effect of changing units on summary measures

  5. I. Exploring Data • Comparing distributions of univariate data (dotplots, back-to-back stemplots, parallel boxplots) • Comparing center and spread: within group, between group variables • Comparing clusters and gaps • Comparing outliers and other unusual features • Comparing shapes

  6. MC Example

  7. MC Example

  8. 2006 FR#1 – The Catapults Two parents have each built a toy catapult for use in a game at an elementary school fair. To play the game, the students will attempt to launch Ping-Pong balls from the catapults so that the balls land within a 5-centimeter band. A target line will be drawn through the middle of the band, as shown in the figure below. All points on the target line are equidistant from the launching location. If a ball lands within the shaded band, the student will win a prize.

  9. 2006 FR#1 – The Catapults The parents have constructed the two catapults according to slightly different plans. They want to test these catapults before building additional ones. Under identical conditions, the parents launch 40 Ping-Pong balls from each catapult and measure the distance that the ball travels before landing. Distances to the nearest centimeter are graphed in the dotplot below.

  10. 2006 FR#1 – The Catapults • Comment on any similarities and any differences in the two distributions of distances traveled by balls launched from catapult A and catapult B. • If the parents want to maximize the probability of having the Ping-Pong balls land within the band, which one of the catapults, A or B, would be better to use than the other? Justify your choice. • Using the catapult that you chose in part (b), how many centimeters from the target line should this catapult be placed? Explain why you chose this distance.

  11. FR Example

  12. This is an example of a Free Response question in which the first parts involve Exploratory Data Analysis and later parts involve inference.

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