Practice Example Problems - 20.6 | 20. Normal Distribution | 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

What is the Z-score for a value of 90 when the mean is 75 and standard deviation is 5?

πŸ’‘ Hint: Use the Z-score formula: Z = (X - ΞΌ) / Οƒ.

Question 2

Easy

If the mean is 50 and standard deviation is 10, what is the probability of scoring below the mean?

πŸ’‘ Hint: Consider the properties of normal distribution.

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 the mean in the Normal Distribution?

  • Mode
  • Median
  • Average

πŸ’‘ Hint: Consider what the term 'mean' refers to in statistics.

Question 2

Z-scores can only be positive.

  • True
  • False

πŸ’‘ Hint: Think about how Z-scores are calculated.

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Given a mean of 50 and standard deviation of 5, find the probability of obtaining a score greater than 60.

πŸ’‘ Hint: Calculate the Z-score and refer to the Z-table.

Question 2

Determine the range for which 95% of the data lies in a normal distribution with a mean of 200 and standard deviation of 30.

πŸ’‘ Hint: Recall the Empirical Rule.

Challenge and get performance evaluation