Line Plots — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. A line plot shows trail distances hiked in miles: 14→3 Xs, 12→5 Xs, 34→6 Xs, 1→2 Xs. What is the total distance hiked by all hikers?
A) 1014 miles
B) 934 miles
C) 10 miles
D) 11 miles
Multiply each distance by its count: (3 x 14) + (5 x 12) + (6 x 34) + (2 x 1) = 34 + 52 + 184 + 2 = 394 = 934 miles total.
2. A line plot shows paint used per project in cups: 18→4 Xs, 14→6 Xs, 38→3 Xs, 12→2 Xs. The total paint for all projects is 418 cups. If paint comes in 2-cup bottles, how many bottles are needed?
A) 2 bottles
B) 4 bottles
C) 3 bottles
D) 1 bottle
The total paint needed is 418 cups. Two bottles hold 4 cups, which is not enough. You need 3 bottles (6 cups) to have at least 418 cups, since you cannot buy a partial bottle.
3. A line plot shows stone weights in pounds: 14→5 Xs, 12→4 Xs, 34→3 Xs, 1→2 Xs. What is the difference between the total weight of all 34-pound stones and the total weight of all 14-pound stones?
A) 112 pounds
B) 1 pound
C) 34 pound
D) 2 pounds
Total weight of 34-pound stones: 3 x 34 = 94 pounds. Total weight of 14-pound stones: 5 x 14 = 54 pounds. The difference is 94 − 54 = 44 = 1 pound.
4. A line plot shows liquid volumes in liters: 18→3 Xs, 38→5 Xs, 58→4 Xs, 78→2 Xs. What fraction of the 14 containers hold 58 liter or more?
A) 614
B) 514
C) 414
D) 814
Containers holding 58 liter or more include those at 58 (4 Xs) and 78 (2 Xs), which is 6 containers. Out of 14 total, that fraction is 614.
Part B: Fill in the Blank
Write the correct answer on each line.
1. A line plot shows reading times in hours: 14→6 Xs, 12→5 Xs, 34→4 Xs, 1→3 Xs. Total reading time for all 18 students (write as a mixed number): 10 hours.
Multiply each value by its count: (6 x 14) + (5 x 12) + (4 x 34) + (3 x 1) = 32 + 52 + 3 + 3 = 10 hours total reading time.
2. Using the reading data, the total time for students who read 12 hour or less is 4 hours.
Students who read 12 hour or less are at 14 (6 Xs) and 12 (5 Xs). Their total time is (6 x 14) + (5 x 12) = 32 + 52 = 82 = 4 hours.
3. A line plot shows tape lengths in meters: 38→5 Xs, 12→3 Xs, 58→4 Xs, 34→2 Xs. Total length of the 58-meter tapes (write as a mixed number): 212 meters.
There are 4 tapes each measuring 58 meter. Multiplying 4 x 58 = 208 = 248 = 212 meters gives the combined length of just those tapes.
4. Using the tape data, total length of ALL tapes combined (write as a mixed number): 738 meters.
Add each group: (5 x 38) + (3 x 12) + (4 x 58) + (2 x 34) = 158 + 128 + 208 + 128 = 598 = 738 meters total.
5. A line plot shows seed packet weights in ounces: 14→4 Xs, 12→6 Xs, 34→3 Xs, 1→1 X. If 2 packets at 14 ounce are removed from the data, the new total weight is 634 ounces.
The original total is (4 x 14) + (6 x 12) + (3 x 34) + (1 x 1) = 1 + 3 + 94 + 1 = 714 ounces. Removing 2 packets at 14 ounce subtracts 12 ounce, leaving 714 − 12 = 634 ounces.