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Practice Questions
Test your understanding with targeted questions related to the topic.
Question 1
Easy
Find the mean of the data set: 5, 10, 15.
💡 Hint: Sum the numbers and divide by how many values there are.
Question 2
Easy
Calculate the deviation for the number 6 from the mean of the data set: 4, 5, 7.
💡 Hint: Find the mean first, then subtract it from 6.
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 formula for variance of a sample?
- \\(\\frac{\\sum (x - \\mu)^2}{N}\\)
- \\(\\frac{\\sum (x - \\bar{x})^2}{n - 1}\\)
- \\(\\sum (x - \\bar{x})^2\\)
💡 Hint: Remember to consider which formula applies to samples.
Question 2
True or False: Standard deviation can be negative.
- True
- False
💡 Hint: Think about what standard deviation represents in terms of distance.
Solve and get performance evaluation
Challenge Problems
Push your limits with challenges.
Question 1
Analyze a dataset consisting of five test scores: 85, 87, 93, 75, 80. Calculate both variance and standard deviation, discussing what these values imply about the consistency of performance.
💡 Hint: Carefully compute each score's deviation and square it before averaging.
Question 2
Given the marks distribution in a competition across various teams: 0-20 (4 teams), 21-40 (5 teams), calculate the standard deviation using the grouped data method. Discuss how this helps in assessing team performance consistency.
💡 Hint: Make sure to compute frequencies accurately and find class midpoints!
Challenge and get performance evaluation