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Module 5: Scientific Investigations

Quick questions on Data analysis, error and uncertainty: HSC Investigating Science Module 5

15short Q&A pairs drawn directly from our worked dot-point answer. For full context and worked exam questions, read the parent dot-point page.

What is summary statistics?
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Mean. Sum of values divided by count. The most common measure of central tendency for normally distributed data.
What is uncertainty?
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Every measurement has uncertainty arising from instrument resolution and natural variation. Standard ways to report:
What is significant figures?
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Report data with significant figures appropriate to the precision of the instrument.
What is random and systematic error?
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Random error. Unpredictable variation between repeated measurements, caused by chance fluctuations. Magnitude varies; direction varies. Random error reduces with averaging.
What is outliers?
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A data point well outside the cluster of others. A common rule is values more than 2 to 3 standard deviations from the mean. Options:
What is graphing?
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Error bars. Vertical lines showing the range or uncertainty around each data point. Mandatory for any quantitative graph in Investigating Science.
What is interpreting in light of the hypothesis?
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1. The treatment effect is larger than the uncertainty in the measurement. 2. The result is reproducible across replicates.
What is mean?
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Sum of values divided by count. The most common measure of central tendency for normally distributed data.
What is median?
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Middle value when data is ordered. Less affected by outliers than the mean.
What is range?
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Difference between maximum and minimum. A simple measure of spread.
What is standard deviation?
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A more rigorous measure of spread that quantifies how tightly values cluster around the mean.
What is random error?
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Unpredictable variation between repeated measurements, caused by chance fluctuations. Magnitude varies; direction varies. Random error reduces with averaging.
What is systematic error?
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Consistent bias in one direction caused by miscalibration, methodological flaw or biased observer. Systematic error does not reduce with averaging.
What is error bars?
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Vertical lines showing the range or uncertainty around each data point. Mandatory for any quantitative graph in Investigating Science.
What is axes?
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Labelled with quantity and unit. Independent variable on the x-axis, dependent variable on the y-axis. Origin clearly marked.

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