Practice Properties of the Normal Distribution - 20.2 | 20. Normal Distribution | Mathematics - iii (Differential Calculus) - Vol 3
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20.2 - Properties of the Normal Distribution

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Learning

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What shape does the graph of a normal distribution form?

💡 Hint: Think about how you would draw it.

Question 2

Easy

True or False: The mean, median, and mode are always the same in a normal distribution.

💡 Hint: Consider how data balances around the center.

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 characterizes the normal distribution curve?

  • Asymmetric shape
  • Symmetrical shape around the mean
  • Straight line

💡 Hint: Visualize the curve when thinking about this.

Question 2

True or False: The total area under the normal distribution curve is equal to 2.

  • True
  • False

💡 Hint: Recall the basis of probability.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

A company finds that the length of time its employees work each day is normally distributed with a mean of 8.5 hours and a standard deviation of 0.5 hours. What is the probability that a randomly selected employee works between 8 and 9 hours?

💡 Hint: Remember to find the Z-scores first before referring to the Z-table.

Question 2

Explain how you would use the normal distribution to model the heights of plants in a garden, describing the steps to determine if the plant heights follow a normal distribution.

💡 Hint: Consider different characteristics of the plants and how you’d measure them.

Challenge and get performance evaluation