Practice Partial Differential Equations - 10 | 10. Variance and Standard Deviation | Mathematics - iii (Differential Calculus) - Vol 3
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10 - Partial Differential Equations

Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the formula for the mean of a dataset?

πŸ’‘ Hint: Think of how to average a set of numbers.

Question 2

Easy

What does a higher variance indicate about a dataset?

πŸ’‘ Hint: Consider how close or far the data points are from the average.

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?

  • A measure of central tendency
  • A measure of data dispersion
  • A fixed value

πŸ’‘ Hint: Consider how data points are arranged around their average.

Question 2

True or False: The standard deviation is the square root of variance.

  • True
  • False

πŸ’‘ Hint: Think about how both terms are related mathematically.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A dataset has the values [10, 20, 30, 40, 50]. Calculate the mean, variance, and standard deviation, and interpret the results.

πŸ’‘ Hint: Use the respective formulas to break down the calculations step by step.

Question 2

You have two datasets with the following characteristics: A has a mean of 50 and a standard deviation of 5, while B has a mean of 50 with a standard deviation of 10. Compare their variances and explain what this means.

πŸ’‘ Hint: Recall that variance is the square of the standard deviation.

Challenge and get performance evaluation