Practice Step-by-step Example (4) - Standard Deviation & Variance - IB 10 Mathematics – Group 5, Statistics & Probability
Students

Academic Programs

AI-powered learning for grades 8-12, aligned with major curricula

Professional

Professional Courses

Industry-relevant training in Business, Technology, and Design

Games

Interactive Games

Fun games to boost memory, math, typing, and English skills

Step-by-Step Example

Practice - Step-by-Step Example

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Learning

Practice Questions

Test your understanding with targeted questions

Question 1 Easy

Calculate the mean of the dataset: 2, 4, 6, 8, 10.

💡 Hint: Add all the numbers and divide by the total count.

Question 2 Easy

What is the variance for the sample data: 1, 2, 3?

💡 Hint: Remember to average the squared deviations from the mean.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What does standard deviation measure?

A) Average
B) Variability
C) Midpoint

💡 Hint: Think about which term relates to dispersion or spread.

Question 2

True or False: Variance can be negative.

True
False

💡 Hint: Consider what happens when you square a negative number.

2 more questions available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

You are given the following set of scores: 5, 6, 8, 10, and 12. Calculate the variance and standard deviation of this dataset. Provide your reasoning and steps.

💡 Hint: Follow the formula for variance closely!

Challenge 2 Hard

Consider the grouped data below with frequencies: Class 10-20 (3), Class 20-30 (4), Class 30-40 (5). Calculate the mean and standard deviation.

💡 Hint: Make sure to find class midpoints before calculating anything!

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.