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

10.x.3 - Standard Deviation

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is the formula for standard deviation?

💡 Hint: Think about how standard deviation relates to variance.

Question 2

Easy

Why is standard deviation preferable over variance?

💡 Hint: Consider the implications of units in interpretation.

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 high standard deviation indicate?

  • Data points are close to the mean
  • Data points are spread out
  • Data points are negatively skewed

💡 Hint: Think about the distribution of values.

Question 2

True or False: Standard deviation can be negative.

  • True
  • False

💡 Hint: Consider what SD represents and the significance of distance.

Solve and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

You collect the heights of five basketball players: 180 cm, 190 cm, 185 cm, 175 cm, and 195 cm. Calculate the variance and standard deviation of their heights.

💡 Hint: First, find the mean, then calculate squared differences and their average.

Question 2

In a statistical experiment, the weights of bats are recorded as: 2.0 kg, 2.5 kg, 2.4 kg, and 3.0 kg. If the standard deviation is computed to be 0.3 kg, discuss how this affects the consistency of bat weights.

💡 Hint: Reflect on what standard deviation tells us about the range of weights.

Challenge and get performance evaluation