# How the shape affects choice of centre and spread

## Interactive practice questions

Which measure of centre would be best for the following data set?

$8,10,14,18,19,91$8,10,14,18,19,91

Mean

A

Median

B

Mode

C

Mean

A

Median

B

Mode

C
Easy
Less than a minute

Which measure of center would best represent this data set?

Sophia has been growing pumpkins. The weight of the pumpkins (in kilograms) are $15,6,5,2,4,4,5$15,6,5,2,4,4,5.

A timed quiz consists of $6$6 puzzles. The data below shows the times (in seconds) that it took Sophia to complete each question on her first and second attempts of the quiz:

Times in first attempt: $11,15,17,20,23,34$11,15,17,20,23,34

Times in second attempt: $20,20,20,19,21,20$20,20,20,19,21,20

### Outcomes

#### S5-1

Plan and conduct surveys and experiments using the statistical enquiry cycle:– determining appropriate variables and measures;– considering sources of variation;– gathering and cleaning data;– using multiple displays, and re-categorising data to find patterns, variations, relationships, and trends in multivariate data sets;– comparing sample distributions visually, using measures of centre, spread, and proportion;– presenting a report of findings

#### S5-2

Evaluate statistical investigations or probability activities undertaken by others, including data collection methods, choice of measures, and validity of findings