Grade 6 Statistics and Probability examples

📚 Quick Study Guide

🔢 Statistics: Deals with collecting, organizing, analyzing, and interpreting data. 📊 Data: Facts and statistics collected together for reference or analysis. 📈 Mean: The average of a set of numbers, calculated by adding all the numbers together and dividing by the total number of numbers. Formula: $\text{Mean} = \frac{\text{Sum of values}}{\text{Number of values}}$ 🧸 Median: The middle value in a set of numbers that are arranged in order. If there are two middle numbers, the median is the average of those two numbers. 🎯 Mode: The value that appears most frequently in a set of data. 🎲 Probability: The chance that something will happen. It's a number between 0 and 1. Formula: $\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}}$ ⚖️ Range: The difference between the largest and smallest values in a dataset. $\text{Range} = \text{Largest Value} - \text{Smallest Value}$

❓ Practice Quiz

1. What is the mean of the following data set: 2, 4, 6, 8, 10?
1. 10
2. 6
3. 5
4. 8
2. What is the median of the following data set: 1, 3, 5, 7, 9?
1. 5
2. 6
3. 4
4. 7
3. What is the mode of the following data set: 2, 2, 3, 4, 5, 2, 6?
1. 2
2. 3
3. 4
4. 5
4. What is the probability of rolling a 4 on a standard six-sided die?
1. $\frac{1}{6}$
2. $\frac{1}{2}$
3. $\frac{1}{3}$
4. $\frac{2}{3}$
5. What is the range of the following data set: 12, 5, 8, 15, 3?
1. 12
2. 9
3. 10
4. 11
6. A bag contains 3 red marbles, 2 blue marbles, and 5 green marbles. What is the probability of picking a blue marble?
1. $\frac{1}{5}$
2. $\frac{1}{2}$
3. $\frac{1}{10}$
4. $\frac{2}{5}$
7. What is the median of the following numbers: 2, 4, 6, 8, 10, 12?
1. 6
2. 7
3. 8
4. 9