IB Mathematics SL 4.2 Presentation of data AI HL Paper 1- Exam Style Questions- New Syllabus
The table below shows the number of words in the extended essays of an IB class.
(a) Draw a histogram on the grid below for the data in this table [3]
(b) Write down the modal group [1]
(c) The maximum word count is 4000 words. Write down the probability that a student chosen at random is on or over the word count [2]
▶️ Answer/Explanation
(a)
Bars with no gaps, heights matching table frequencies, correct word count intervals on grid.
Result: Correct histogram [3]
(b)
\( 3800 \leq w < 4000 \)
Modal group is the interval with the highest frequency.
Result: \( 3800 \leq w < 4000 \) [1]
(c)
\( \frac{3}{35} \)
Probability formula: \( P(w \geq 4000) = \frac{\text{students with } w \geq 4000}{\text{total students}} \).
Step: \( \frac{3}{35} \approx 0.0857 \) or 8.57%.
Result: \( \frac{3}{35} \) [2]