Practice Variance - 7.7 | 7. Probability Distribution Function (PDF) | Mathematics - iii (Differential Calculus) - Vol 3
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Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Define variance in your own words.

πŸ’‘ Hint: Think about the average and how each number relates to it.

Question 2

Easy

What does a low variance indicate about a dataset?

πŸ’‘ Hint: Consider how tightly packed the values are.

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 does a higher variance indicate about a dataset?

  • More consistent values
  • More spread out values
  • Equal values

πŸ’‘ Hint: Consider what happens to the spread of values if they are all similar.

Question 2

True or False: High variance is always desirable in engineering.

  • True
  • False

πŸ’‘ Hint: Think about reliability in engineering processes.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A factory produces metal rods that are supposed to be 5 cm in length. During testing, a sample produced lengths of {4.8, 5.1, 5.0, 4.9, 5.2} cm. Calculate the variance.

πŸ’‘ Hint: Calculate the mean, then find the squared differences from the mean.

Question 2

Analyze a given set of data points {1, 2, 3, 4, 5} and discuss how variance can impact product decisions in an engineering design.

πŸ’‘ Hint: Consider how this spread affects reliability and consistency.

Challenge and get performance evaluation