New Zealand
Level 7 - NCEA Level 2

# Quantiles and Percentiles

## Interactive practice questions

Here are Paul's scores from his last $13$13 rounds of golf played:

$64,66,68,70,72,74,78,84,102,106,112,124,128$64,66,68,70,72,74,78,84,102,106,112,124,128

a

What is his median score?

b

What is the lower quartile score?

c

What is the upper quartile score?

Easy
Approx 2 minutes

Here are Adam's scores from his last $17$17 exams:

$38,44,48,51,56,58,62,70,74,78,80,82,85,88,92,94,100$38,44,48,51,56,58,62,70,74,78,80,82,85,88,92,94,100

Mensa is an organisation that only accepts members who score in the $98$98th percentile or above in an IQ test. What does this mean? Select all that apply.

Consider the graph of a standard normal distribution showing the $68-95-99.7$689599.7 rule.

### Outcomes

#### S7-4

S7-4 Investigate situations that involve elements of chance: A comparing theoretical continuous distributions, such as the normal distribution, with experimental distributions B calculating probabilities, using such tools as two-way tables, tree diagrams, simulations, and technology.

#### 91267

Apply probability methods in solving problems