Solved Examples: Reading Line Plots to Find Frequency & Range

📚 Quick Study Guide

• 📊 What is a Line Plot? A line plot (or dot plot) displays data along a number line. Each 'x' (or dot) above a number represents one data point.
• 🔢 Frequency: The frequency of a value is the number of times it appears in the data. On a line plot, it's the number of 'x's above that value.
• 📈 Range: The range is the difference between the largest and smallest values in the dataset.
• ➕ Finding Frequency: Simply count the number of 'x' marks above each value on the number line.
• ➖ Calculating Range: Use the formula: Range = Maximum Value - Minimum Value.

Practice Quiz

1. What does each 'x' on a line plot represent?
1. A) The average value
2. B) One data point
3. C) The range of the data
4. D) The median value


2. What does the frequency of a data point tell you?
1. A) How spread out the data is
2. B) The middle value of the data
3. C) How many times that value appears
4. D) The difference between the largest and smallest values


3. If a line plot shows the number of books read by students and there are five 'x's above the number 7, what does this mean?
1. A) The average number of books read is 7
2. B) One student read 7 books
3. C) Seven students read a total of 5 books
4. D) Five students read 7 books each


4. What is the range of the data set represented by the line plot if the smallest value is 2 and the largest value is 10?
1. A) 5
2. B) 8
3. C) 12
4. D) 20


5. A line plot shows the number of pets owned by families. The values are 0, 1, 2, and 3. There are 3 'x's above 0, 5 'x's above 1, 2 'x's above 2, and 1 'x' above 3. What is the frequency of families owning 1 pet?
1. A) 1
2. B) 2
3. C) 3
4. D) 5


6. Using the same line plot from the previous question (pets owned: 0, 1, 2, 3; frequencies: 3, 5, 2, 1), what is the range of the number of pets owned?
1. A) 1
2. B) 2
3. C) 3
4. D) 4


7. What calculation is used to determine the range in a line plot?
1. A) (Largest Value + Smallest Value) / 2
2. B) Largest Value - Smallest Value
3. C) Sum of all values
4. D) Count of all 'x' marks