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

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

Calculate the mean of the following data: 6, 2, 9, 5, 3.

💡 Hint: Add the numbers together and divide by how many data points there are.

Question 2

Easy

True or False: The standard deviation can be negative.

💡 Hint: Think about how we define standard deviation.

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 variance measure?

  • Data average
  • Data spread from the mean
  • Data count

💡 Hint: Think of how variance relates to the average value of data points.

Question 2

True or False: Standard deviation is simply a squared measurement of variance.

  • True
  • False

💡 Hint: Consider the definition of standard deviation regarding variance.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You collected the following set of data: 5, 7, 5, 8, 12. Calculate the variance and standard deviation, and discuss the implications of these measurements.

💡 Hint: Go step-by-step, calculating the mean first, then varied deviations.

Question 2

Consider two sets of data: Set A: {6, 7, 8}, Set B: {2, 11, 12}. Calculate the variances for both sets and summarize differences in variability.

💡 Hint: Remember to find the mean for each set then calculate the squared differences.

Challenge and get performance evaluation