WorksheetsChapter 21
Total questions: 15
Worksheet time: 8mins
Name
Class
Date
1.
Which statement relating to probability and statistics is incorrect?
a)
Probability is concerned with quantifying and describing the outcomes of random events.
b)
Statistical reasoning allows us to make inferences about events whose outcomes are characterised by random variation.
c)
The outcomes of many processes are predictable and this certainty is the basis of probability and statistics.
d)
Data can be collected, organised and displayed to answer questions and convey particular messages.
2.
Which option best describes deterministic thinking?
a)
A view that all events have direct causes.
b)
A view that many events are not attributable to direct causes.
c)
A view that considers causation in terms of chance-raising.
d)
A view that considers causation in terms of making an event more likely to occur.
3.
Which statement does not correctly relate to variation?
a)
Variation is the extent to which the outcomes of a chance process differ from one another.
b)
Variation forms the basis of later understanding of measures of spread.
c)
Variation forms the basis of later understanding of measures of central tendency.
d)
Variation relates to later work on range and standard deviation.
4.
Which statement relating to understanding chance is incorrect?
a)
Teachers should not assume that a correct answer to a straightforward question necessarily means that a child understands the concept.
b)
Asking young children for examples is an important way to reveal the extent of their understanding.
c)
Research has found that young children have little understanding of randomness.
d)
Research has found that all young children believe that dice are fair and that each outcome is equally likely.
5.
Which option best describes the probability of rolling a standard six-sided die to obtain 8?
a)
Likely
b)
Impossible
c)
Certain
d)
Unlikely
6.
Which option best describes the probability of the sun rising in the east?
a)
Likely
b)
Impossible
c)
Certain
d)
Unlikely
7.
Which option best describes the probability of winning a lottery?
a)
Likely
b)
Impossible
c)
Certain
d)
Unlikely
8.
To demonstrate long-term predictability of random processes, experiments with a large number of trials can be performed. Which statement is incorrect?
a)
Experiments with chance devices such as dice and spinners can be used by young students to compare distributions of relatively small numbers of outcomes with those of larger number of trials
b)
Random number generators can be used to simulate random processes.
c)
Outcomes from experiments performed by individuals in a class can be pooled to create a much larger number of trials for comparison.
d)
Young children should work with computer simulations before working with real devices so they understand the link between the real situation and the simulation.
9.
Which statement relating to understanding samples is incorrect?
a)
A sample is a smaller set chosen from a population.
b)
The larger the sample, the better it represents the population.
c)
A sample is part of a whole and representative of that whole.
d)
The adequacy of a sample depends upon the extent to which it represents the population.
10.
Which statement describes the least effective way of working with data representations?
a)
Learning to read and interpret graphs is central to understanding data distributions.
b)
Children should only work with data representations that have been provided to them.
c)
Comparison of data sets and representations should be included from the very beginning of teaching about probability and statistics.
d)
Encourage children to ask and to investigate questions that can be answered by collecting and representing data.
11.
Which option does not relate to a way that young students can develop graph sense?
a)
Reproduce tables and graphs provided as examples of data representation.
b)
Explore the assumptions underlying the classification of data and interpretation of the meaning of data.
c)
Discuss and explore the possibility of alternative representations.
d)
Predict from the data.
12.
Which option best categorises the ability to understand relationships among tables, graphs and data?
a)
Reading the data.
b)
Reading within the data.
c)
Reading beyond the data.
d)
Reading behind the data.
13.
Which option best categorises the ability to look for relationships among variables?
a)
Reading the data.
b)
Reading within the data.
c)
Reading beyond the data.
d)
Reading behind the data.
14.
Which option best categorises the ability to interpret information in a graph and answer questions about it?
a)
Reading the data.
b)
Reading within the data.
c)
Reading beyond the data.
d)
Reading behind the data.
15.
Children enjoy considering data about themselves rather than data from unfamiliar contexts. Which option describes data that could be sensitive for some students and should be avoided?
a)
height
b)
weight
c)
reaction times
d)
handspans
100 %
