Page 92 - 2024-bfw-starnes-TPS7e-SE proofs.indd

UNIT 1 Wrap-Up

PART I

®
FRAPPY! Free Response AP Problem, Yay!

© 2024 BFW Publishers PAGES NOT FINAL - For Review Purposes Only - Do Not Copy

Directions: Show all your work. Indicate clearly the methods you use, because you will be scored on the correct-
ness of your methods as well as on the accuracy and completeness of your results and explanations.

A realtor collects data about the sales price (in $1000s) of 43 homes that sold in their city in the past sev-
eral months. Here are the data, sorted from lowest to highest sales price: 92

107 133 135 141 147 165 165 170 173 175 182
190 191 195 199 205 210 215 220 226 228 242
249 251 255 255 260 265 265 275 275 280 285
289 295 301 310 315 350 365 365 397 503

(a) Make a histogram of the data using intervals of width 50, starting at 100, with axes scaled as shown.

13
12
11
10
9
8
7
6
5
4
3
2
1
0
100 150 200 250 300 350 400 450 500 550
(b) Determine whether or not the maximum sales price of $503,000 is an outlier in the distribution of
sales price for these 43 homes. Show your method clearly.

Here are parallel boxplots of the sales prices for the homes in each of three regions of the city:

Region 1 d d

Region 2

Region 3

100 150 200 250 300 350 400 450 500 550
Sales price ($1000s)

(c) Compare the distributions of sales price in the three regions of the city.

After you fi nish the FRAPPY!, you can view two example solutions on the book’s website (bfwpub.com/tps7e).
Determine whether you think each solution is “complete,” “substantial,” “developing,” or “minimal.” If the solution is
not complete, what improvements would you suggest to the student who wrote it? Finally, your teacher will provide a
scoring rubric. Score your response and note what, if anything, you would do differently to improve your own score.

© 2024 BFW Publishers PAGES NOT FINAL - For Review Purposes Only, all other uses prohibited - Do Not Copy or Post in Any Form.

02_StarnesTPS7e_40934_un01_p1_001_086_6pp.indd 79 13/09/23 5:40 PM