Practice Variance (σ² Or S²) (3.3) - Standard Deviation & Variance - IB 10 Mathematics – Group 5, Statistics & Probability

Practice: Variance (σ² or s²)

Lesson 3.3Standard Deviation & Variance

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9 questions

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3 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
3 questions · about 2 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Find the variance of the data set: 2, 4, 4, 4, 5, 5, 7, 9.
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Calculate the mean, then find each deviation squared, average those values.
Question 2.
What does a variance of zero signify?
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Think about the meaning of consistency in the data.
3Question 3.
What is variance?
- The mean of a data set
- The average of squared deviations from the mean
- The total of all data points
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Focus on the relationship of variance to deviations.
4Question 4.
True or False: The standard deviation is always greater than variance.
- True
- False
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Remember the relationship between standard deviation and variance.
Question 5.
In a given dataset, the values are: 25, 28, 30, 33, 36, 39. Calculate the variance and discuss how it could apply to a real-world scenario, like test scores.
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Follow the steps carefully to derive the mean and then variances.
Question 6.
Evaluate the variance for a larger dataset derived from a class of students' exercise times: 30, 45, 33, 40, 50, 48, 35, 60, discussing implications in a health and fitness program.
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Focus on ensuring accurate squared deviations to find an appropriate measure.

5 more questions in this section. Enroll free to practise them all.