Practice Application to Grouped Data - 5 | 3. Standard Deviation & Variance | IB Class 10 Mathematics – Group 5, Statistics & Probability
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Practice Questions

Test your understanding with targeted questions related to the topic.

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.

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 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?

Solve 1 more question and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

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.

Question 2

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.

Challenge and get performance evaluation