Practice Why Square The Differences? (3.5) - Standard Deviation & Variance

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9 questions

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6 sample questions

Question 1.
Calculate the mean of the data set: 2, 4, 6.
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Sum the numbers and divide by the count.
Question 2.
What is the square of 5?
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Think of multiplying 5 by itself.
3Question 3.
Why do we square the differences in variance and standard deviation calculations?
- To avoid negatives.
- To enhance mean calculations.
- To simplify the data.
- To calculate mode.
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Think about how positive and negative numbers interact.
4Question 4.
True or False: The standard deviation can be a negative number.
- True
- False
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Think about the definition of standard deviation.
Question 5.
A data set has the following values: 1, 4, 7, 3, 5. Calculate the variance and interpret the result.
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Compute the mean first and then find the squared deviations.
Question 6.
In a large dataset, you notice a very high standard deviation. Discuss what that tells you about the data.
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Reflect on the implications of spread in real-world data.

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