Question 1 - A-Level Maths

Exam Board	Edexcel
Module	S1 (Statistics 1)
Year	2010
Session	January
Topic	Tree Diagrams
Type	Sampling without replacement tree diagram

A jar contains 2 red, 1 blue and 1 green bead. Two beads are drawn at random from the jar without replacement.
1. In the space below, draw a tree diagram to illustrate all the possible outcomes and associated probabilities. State your probabilities clearly.
2. Find the probability that a blue bead and a green bead are drawn from the jar.
3. The 19 employees of a company take an aptitude test. The scores out of 40 are illustrated in the stem and leaf diagram below.
\(2 \mid 6\) means a score of 26
0 7 \(( 1 )\)
1 88 \(( 2 )\)
2 4468 \(( 4 )\)
3 2333459 \(( 7 )\)
4 00000 \(( 5 )\)
Find
the median score,
the interquartile range. The company director decides that any employees whose scores are so low that they are outliers will undergo retraining. An outlier is an observation whose value is less than the lower quartile minus 1.0 times the interquartile range.
Explain why there is only one employee who will undergo retraining.
On the graph paper on page 5, draw a box plot to illustrate the employees' scores. \includegraphics[max width=\textwidth, alt={}, center]{a0058e3c-046f-4271-aee4-33a74c719e2a-04_611_1596_2006_185}