Practice Application To Grouped Data (5) - Standard Deviation & Variance
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

Application to Grouped Data

Practice - Application to Grouped Data

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

What is the midpoint of the class interval 20-30?

💡 Hint: Add the lower and upper limits and divide by 2.

Question 2 Easy

If a class has a frequency of 4 and a midpoint of 15, what is fx?

💡 Hint: Multiply frequency by midpoint.

4 more questions available

Interactive Quizzes

Quick quizzes to reinforce your learning

Question 1

What is the formula for calculating the mean of grouped data?

a) Mean = Σf / n
b) Mean = Σ(f * x) / Σf
c) Mean = Σ(x - x̄)²

💡 Hint: Think about the values we are summing and dividing by.

Question 2

True or False: The standard deviation can be negative.

True
False

💡 Hint: What does standard deviation represent?

1 more question available

Challenge Problems

Push your limits with advanced challenges

Challenge 1 Hard

A fruit vendor records the weights of bags: 1-3 kg (5), 3-5 kg (10), 5-7 kg (15). Determine the mean and standard deviation of the weights.

💡 Hint: Follow through with midpoints and properly calculate deviations.

Challenge 2 Hard

In a survey, ages are grouped as follows: 0-20 (4), 21-40 (6), 41-60 (10). Find the variance of the ages.

💡 Hint: Don't forget to use midpoints and find squared differences.

Get performance evaluation

Reference links

Supplementary resources to enhance your learning experience.