Probability and Statistics Concepts

This video tutorial demonstrates how to use a free online normal distribution calculator to determine probabilities for test scores. It covers calculating the probability of a score being greater than 85, less than 67, and between 75 and 95. The tutorial provides step-by-step instructions, including entering the mean and standard deviation, selecting the appropriate inequality, and interpreting the results as both decimals and percentages.

What is the mean of the test scores in the dataset?

• 72

• 78

• 90

• 85

Which option should be selected to find the probability of a score greater than a given value?

• Greater than

• Inverse

• Less than

• Between

What is the probability that a test score is greater than 85?

• 0.137

• 0.676

• 0.500

• 0.043

How is the probability represented on the graph for scores greater than 85?

• Shaded area between two points

• No shading

• Shaded area to the right

• Shaded area to the left

Which inequality symbol is used to find the probability of a score less than a given value?

• Greater than

• Less than

• Not equal to

• Equal to

What is the probability that a test score is less than 67?

• 0.137

• 0.500

• 0.043

• 0.676

Which option should be selected to find the probability of a score between two values?

• Less than

• Inverse

• Greater than

• Between

What is the probability that a test score is between 75 and 95?

• 0.676

• 0.137

• 0.500

• 0.043

How is the probability represented on the graph for scores between 75 and 95?

• No shading

• Shaded area between two points

• Shaded area to the right

• Shaded area to the left

What is the standard deviation of the test scores in the dataset?

• 8.2

• 7.8

• 6.4

• 5.0