Line Plots — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. A baker records flour per batch in cups: 14, 34, 12, 14, 34, 12, 14, 1, 12, 34, 14, 12. How many X marks go at 14 on the line plot?
Answer: 4
Counting every time 14 appears in the data list gives four occurrences (positions 1, 4, 7, and 11). Each occurrence becomes one X mark on the line plot above 14.
2. Using the baker's data, how many X marks go at 12 on the line plot?
Answer: 4
The value 12 appears four times in the data list (positions 3, 6, 10, and 12). Each time a value appears, you place one X mark above that spot on the number line.
3. Using the baker's data, the mode of the data set is 14 and 12.
Both 14 and 12 appear 4 times each, which is more than any other value. When two values tie for the highest frequency, they are both modes of the data set.
4. Using the baker's data, the total flour used across all 12 batches (write as a mixed number) is 614 cups.
Multiply each value by its count and add: (4 x 14) + (4 x 12) + (3 x 34) + (1 x 1) = 1 + 2 + 214 + 1 = 614 cups total across all 12 batches.
5. A line plot shows time spent on chores in hours: 14→5 Xs, 12→3 Xs, 34→6 Xs, 1→2 Xs. The total number of people surveyed is 16.
Each X mark represents one person surveyed. Adding all the Xs gives 5 + 3 + 6 + 2 = 16 people total.
6. Using the chores data, how many people spent less than 34 hour on chores? Answer: 8.
Values less than 34 are 14 (5 Xs) and 12 (3 Xs). Adding 5 + 3 = 8 people spent less than 34 hour on chores.
7. A line plot shows ribbon pieces in meters: 18→3 Xs, 38→5 Xs, 58→2 Xs, 78→4 Xs. The value with the most X marks is 38 meter.
Comparing the X counts, 38 has the tallest column with 5 Xs, beating 78 (4 Xs), 18 (3 Xs), and 58 (2 Xs). The most X marks means that value appeared most often.
8. Using the ribbon data, the number of pieces that are 58 meter or longer is 6.
Pieces 58 meter or longer include those at 58 (2 Xs) and 78 (4 Xs). Adding 2 + 4 = 6 ribbon pieces meet this condition.
9. Using the ribbon data, how many more pieces are 38 meter than 58 meter? Answer: 3.
The 38 value has 5 X marks and the 58 value has 2 X marks. The difference is 5 − 2 = 3 more pieces at 38 meter.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Data: 12, 34, 12, 1, 34, 12, 14, 34. What is the mode?
→ 12 and 34
3
Line plot: 18→2 Xs, 28→5 Xs, 38→3 Xs, 48→1 X. Total data points?
→ 11
7
Line plot: 14→3 Xs, 12→4 Xs, 34→1 X, 1→2 Xs. How many values are 12 or greater?
→ 7
11
Data: 38, 58, 38, 78, 58, 38. How many X marks at 38?
→ 3
12 and 34
Correct matches: Data: 12, 34, 12, 1, 34, 12, 14, 34. What is the mode? → 12 and 34; Line plot: 18→2 Xs, 28→5 Xs, 38→3 Xs, 48→1 X. Total data points? → 11; Line plot: 14→3 Xs, 12→4 Xs, 34→1 X, 1→2 Xs. How many values are 12 or greater? → 7; Data: 38, 58, 38, 78, 58, 38. How many X marks at 38? → 3.