Language and Use of Statistics

NZ Level 6 (NZC) Level 1 (NCEA)

Statistical Questions

Lesson

Governments, businesses and researchers gather statistics so they can draw conclusions and make decisions about specific issues. So if we're using statistics to make these important decisions, it's important to make sure that we're really investigating that issue.

That's why it's important to make sure we ask the right questions when we are collecting data. We need specific research questions that will give us specific answers to the questions we are trying to answer.

We also need to understand what graphs and statistical information are trying to tell us so we can draw conclusions based on information that is presented to us.

Features of a Statistical Question

A statistical question must have all of the following:

- a variety of possible answers: there has to be more than one answer to a question
- state a population: it must apply to more than one person
- need some statistical methods to answer the question

What statistical attributes would need to be considered if you were trying to investigate how many hours of homework your teachers set each week?

Whether the homework set is online or on paper

AHow many hours of homework each teacher sets each week

BHow many hours your teachers spend marking homework each week

CWhether the homework set is online or on paper

AHow many hours of homework each teacher sets each week

BHow many hours your teachers spend marking homework each week

C

What statistical attribute is being compared in the bar graph?

Preferred sport

AThe number of hours of sport played

BNumber of boys

CPreferred sport

AThe number of hours of sport played

BNumber of boys

C

Select all of the statistical questions below.

How much do puppies weigh?

AHave you ever visited Paris, France?

BHow old are Olympic gold medal winners when they win their medal?

CWhat is the wage of people in California?

DWhat superpower would you want to have?

EDo you prefer pasta or pizza?

FHow much do puppies weigh?

AHave you ever visited Paris, France?

BHow old are Olympic gold medal winners when they win their medal?

CWhat is the wage of people in California?

DWhat superpower would you want to have?

EDo you prefer pasta or pizza?

F

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.

Investigate bivariate numerical data using the statistical enquiry cycle