Understanding Normal Distribution and Z-Scores

The video tutorial explains how to determine the proportion of exam scores higher than a specific score using normal distribution. It begins with an introduction to normal distribution, followed by a visualization of the distribution curve. The tutorial then demonstrates how to calculate the Z-score for a given score and use a Z-table to find the proportion of scores below it. Finally, it explains how to calculate the proportion of scores above the given score by subtracting the Z-table value from one.

What is the mean score of the philosophy exam?

• 50 points

• 60 points

• 30 points

• 40 points

What is the standard deviation of the exam scores?

• 4 points

• 5 points

• 3 points

• 2 points

Where would Ludwig's score of 47.5 be located on the normal distribution curve?

• At the median

• Above the mean

• At the mean

• Below the mean

How do you calculate the Z-score for a given score?

• Add the mean to the score and multiply by the standard deviation

• Multiply the score by the mean and divide by the standard deviation

• Subtract the mean from the score and divide by the standard deviation

• Subtract the score from the mean and divide by the standard deviation

What is the Z-score for Ludwig's score of 47.5?

• 3.0

• 2.0

• 1.5

• 2.5

What does a Z-table provide?

• Proportion of scores above a Z-score

• Proportion of scores below a Z-score

• Mean and standard deviation for a Z-score

• Exact scores for a given Z-score

What is the proportion of scores below a Z-score of 2.5?

• 0.7500

• 0.5000

• 0.0062

• 0.9938

How do you find the proportion of scores higher than a given Z-score?

• Add the Z-score to 1

• Divide the Z-score by 1

• Subtract the Z-score from 1

• Multiply the Z-score by 1

What is the final proportion of scores higher than Ludwig's score?

• 0.5000

• 0.7500

• 0.0062

• 0.9938

Why is it logical that only a small proportion of scores are higher than Ludwig's?

• Because Ludwig scored exactly at the mean

• Because Ludwig scored significantly above the mean

• Because Ludwig scored below the mean

• Because Ludwig scored significantly below the mean