| Exam Board | CAIE |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2003 |
| Session | November |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | Draw histogram from frequency table |
| Difficulty | Easy -1.3 This is a straightforward histogram construction task requiring only counting frequencies in given intervals and plotting with correct frequency density scaling. It involves basic data handling skills with no conceptual challenges beyond understanding that bar heights represent frequency density for unequal class widths. |
| Spec | 2.02b Histogram: area represents frequency |
| 150 | 350 | 450 | 578 | 595 | 644 | 722 | 798 | 802 | 904 |
| 1000 | 1330 | 1533 | 1561 | 1778 | 1960 | 2167 | 2330 | 2433 | 3231 |
2 The floor areas, $x \mathrm {~m} ^ { 2 }$, of 20 factories are as follows.
\begin{center}
\begin{tabular}{ r r r r r r r r r r }
150 & 350 & 450 & 578 & 595 & 644 & 722 & 798 & 802 & 904 \\
1000 & 1330 & 1533 & 1561 & 1778 & 1960 & 2167 & 2330 & 2433 & 3231 \\
\end{tabular}
\end{center}
Represent these data by a histogram on graph paper, using intervals
$$0 \leqslant x < 500,500 \leqslant x < 1000,1000 \leqslant x < 2000,2000 \leqslant x < 3000,3000 \leqslant x < 4000 .$$
\hfill \mbox{\textit{CAIE S1 2003 Q2 [4]}}