New Zealand
Level 6 - NCEA Level 1

# Recognising the spread of data

Lesson

We've already learnt about the range, which is a measure of spread in a data set. Once we are able to calculate the range in a data set, we can start to compare and make judgments about different data sets and potentially spot any outliers.

Now let's compare the spread of some data sets and graphs.

#### Worked Examples

##### Question 1

Look at the data sets below. Which data set has the largest range?

1. $101,105,118,129,136$101,105,118,129,136

A

$19,23,25,28,29$19,23,25,28,29

B

$22,25,43,64$22,25,43,64

C

$104,107,113,120,125$104,107,113,120,125

D

$101,105,118,129,136$101,105,118,129,136

A

$19,23,25,28,29$19,23,25,28,29

B

$22,25,43,64$22,25,43,64

C

$104,107,113,120,125$104,107,113,120,125

D

##### QUESTION 2

Do the dot plots shown have the same range?

1. Yes

A

No

B

Yes

A

No

B

### Outcomes

#### S6-1

Plan and conduct investigations using the statistical enquiry cycle: A justifying the variables and measures used B managing sources of variation, including through the use of random sampling C identifying and communicating features in context (trends, relationships between variables, and differences within and between distributions), using multiple displays D making informal inferences about populations from sample data E justifying findings, using displays and measures.

#### 91035

Investigate a given multivariate data set using the statistical enquiry cycle