| Exam Board | CAIE |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2012 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | State advantages of diagram types |
| Difficulty | Easy -1.8 This is a straightforward recall question requiring students to name appropriate diagrams (likely stem-and-leaf for small dataset, histogram/box plot for large dataset) and state basic advantages. No calculations, problem-solving, or conceptual depth required—purely testing knowledge of when to use different diagram types. |
| Spec | 2.02i Select/critique data presentation |
| Answer | Marks | Guidance |
|---|---|---|
| (i) Stem and leaf shows shape/spread/range/all prices | B1* B1dep* [2] | correct answer valid reason, e.g. small number of prices, easy to calculate median; OR box-and-whisker shows shape/spread/range; SR histogram B1 only |
| (ii) Histogram shows shape/spread/modal class | B1* B1dep* [2] | correct answer valid reason, e.g. large number of prices, too many prices for stem-and-leaf; OR cumulative frequency graph shows shape or large number of prices; OR box-and-whisker shows shape/spread/range |
(i) Stem and leaf shows shape/spread/range/all prices | B1* B1dep* [2] | correct answer valid reason, e.g. small number of prices, easy to calculate median; OR box-and-whisker shows shape/spread/range; SR histogram B1 only
(ii) Histogram shows shape/spread/modal class | B1* B1dep* [2] | correct answer valid reason, e.g. large number of prices, too many prices for stem-and-leaf; OR cumulative frequency graph shows shape or large number of prices; OR box-and-whisker shows shape/spread/range1 Ashfaq and Kuljit have done a school statistics project on the prices of a particular model of headphones for MP3 players. Ashfaq collected prices from 21 shops. Kuljit used the internet to collect prices from 163 websites.\\
(i) Name a suitable statistical diagram for Ashfaq to represent his data, together with a reason for choosing this particular diagram.\\
(ii) Name a suitable statistical diagram for Kuljit to represent her data, together with a reason for choosing this particular diagram.
\hfill \mbox{\textit{CAIE S1 2012 Q1 [4]}}