OCR A-Level Psychology H567
Research Methods and Techniques
Planning and Conducting Research
Data Recording, Analysis and Presentation
Report Writing and Scientific Communication
Practical Activities and the Nature of Science
Mathematical Requirements for Research Methods
Studying and Evaluating the Core Studies: The Common Framework
Core Studies: Social Area
Core Studies: Cognitive Area
Core Studies: Developmental Area
Core Studies: Biological Area
Core Studies: Individual Differences Area
Areas and Perspectives in Psychology
Debates in Psychology
Practical Applications of Psychology
Issues in Mental Health
Child PsychologyApplied option
Criminal PsychologyApplied option
Environmental PsychologyApplied option
Sport and Exercise PsychologyApplied option
Methodological Issues and Debates Running Through Applied Psychology
Mathematical Requirements for Research Methods
Order of magnitude estimates and statistical symbols
- 3 things to know
- Component 01
Overview
Recall questions on order of magnitude calculations, estimating and calculating means, comparing sample sizes by orders of magnitude, spotting impossible results, and the symbols <, >, ~, ∝ and those for significance levels.
What you need to know
Answer each one before you reveal it.
What is an order of magnitude calculation?
A total of 12,000 points was scored by 240 participants. What is the mean score?
Questions from this subtopic
Each one with the model answer underneath.
- 1
What is an order of magnitude calculation?
Model answer
A rough calculation using rounded values that establishes the approximate size of an answer rather than an exact figure.
- 2
Sixty-one participants produced a total score of 5,842. Estimate the mean by rounding.
Model answer
Rounding the total to 6,000 and the sample to 60 gives an estimated mean of about 100.
- 3
One study uses a sample of 20 and another uses 2000. By how many orders of magnitude do the samples differ?
Model answer
By two orders of magnitude, since the larger sample is 10² times the smaller.
- 4
A total of 12,000 points was scored by 240 participants. What is the mean score?
Model answer
The mean is 50 points.
- 5
Why is an order of magnitude estimate useful before a full calculation?
Model answer
It gives an expected size for the answer, so a result that is out by a factor of ten reveals a misplaced decimal point or a keying error.
- 6
A student calculates a mean of 4.7 from scores that all lie between 40 and 60. What has gone wrong?
Model answer
The mean must fall within the range of the scores, so a value of 4.7 shows the total has been divided incorrectly or a decimal point has been misplaced.
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