Practice Partial Differential Equations - 10 | 10. Variance and Standard Deviation | Mathematics - iii (Differential Calculus) - Vol 3
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Partial Differential Equations

10 - Partial Differential Equations

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Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

What is the formula for the mean of a dataset?

💡 Hint: Think of how to average a set of numbers.

Question 2 Easy

What does a higher variance indicate about a dataset?

💡 Hint: Consider how close or far the data points are from the average.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is variance?

A measure of central tendency
A measure of data dispersion
A fixed value

💡 Hint: Consider how data points are arranged around their average.

Question 2

True or False: The standard deviation is the square root of variance.

True
False

💡 Hint: Think about how both terms are related mathematically.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A dataset has the values [10, 20, 30, 40, 50]. Calculate the mean, variance, and standard deviation, and interpret the results.

💡 Hint: Use the respective formulas to break down the calculations step by step.

Challenge 2 Hard

You have two datasets with the following characteristics: A has a mean of 50 and a standard deviation of 5, while B has a mean of 50 with a standard deviation of 10. Compare their variances and explain what this means.

💡 Hint: Recall that variance is the square of the standard deviation.

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