Practice Variance (σ² or s²) - 3.3 | 3. Standard Deviation & Variance | IB Class 10 Mathematics – Group 5, Statistics & Probability
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3.3 - Variance (σ² or s²)

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Find the variance of the data set: 2, 4, 4, 4, 5, 5, 7, 9.

💡 Hint: Calculate the mean, then find each deviation squared, average those values.

Question 2

Easy

What does a variance of zero signify?

💡 Hint: Think about the meaning of consistency in the data.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What is variance?

  • The mean of a data set
  • The average of squared deviations from the mean
  • The total of all data points

💡 Hint: Focus on the relationship of variance to deviations.

Question 2

True or False: The standard deviation is always greater than variance.

  • True
  • False

💡 Hint: Remember the relationship between standard deviation and variance.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

💡 Hint: Follow the steps carefully to derive the mean and then variances.

Question 2

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.

💡 Hint: Focus on ensuring accurate squared deviations to find an appropriate measure.

Challenge and get performance evaluation