Statistics - Median, Quartiles, Range and Interquartile Range
Statistics - Median, Quartiles, Range and Interquartile Range
Secondary 4
The stem-and-leaf diagram shows the distribution of the ages of the contestants in a cycling race, The median and range of the distribution are 33 years and 20 years respectively.
- Find the value of x and of y, given that x \(\geq\) 0 and y \(\geq\) 0.
- Write down the modal age of the distribution.
- Find the interquartile range of this distribution.
2 | 1 | 3 | ||||
|---|---|---|---|---|---|---|
2 | 5 | 5 | 7 | 8 | ||
3 | 0 | \(x\) | 4 | 4 | ||
3 | 5 | 5 | 9 | 9 | 9 | |
4 | \(y\) |
Key: \(2\mid1\) means 21 years. Each stem is split into leaves 0–4 and 5–9; \(x\) and \(y\) are single-digit nonnegative integers.
Solution:
Solution locked
680+ questions here come with free worked solutions. A free account saves your questions and progress; this one needs a course plan.
Create a free account to practise similar questions.
Answer:(a) \(x = 2\), \(y = 1\) (b) \(39\) years (c) \(11\)
Need help? Join our E-Maths tuition for O-Level success.
Learn more