Line Plots with Fractions — Answer Key
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
A line plot shows plant heights: 14→3 Xs, 12→2 Xs, 34→4 Xs, 1→1 X. A student says more plants are 12 foot or shorter than taller. Shorter: 5. Taller: 5.
Corrected: Plants 12 foot or shorter: 14(3)+12(2)=5. Plants taller: 34(4)+1(1)=5. The counts are equal, not "more shorter."
The corrected sentence is: "Plants 12 foot or shorter: 14(3)+12(2)=5. Plants taller: 34(4)+1(1)=5. The counts are equal, not "more shorter."". The original sentence "A line plot shows plant heights: 14→3 Xs, 12→2 Xs, 34→4 Xs, 1→1 X. A student says more plants are 12 foot or shorter than taller. Shorter: 5. Taller: 5." contained an error that needed to be fixed.
2. Fix the sentence:
A line plot shows snowfall in inches: 14→5 Xs, 12→3 Xs, 34→2 Xs. A student says the total snowfall across all days is 10 inches.
Corrected: The total number of days is 10, but total snowfall is (5×14)+(3×12)+(2×34)=54+64+64=174=414 inches.
The corrected sentence is: "The total number of days is 10, but total snowfall is (5×14)+(3×12)+(2×34)=54+64+64=174=414 inches.". The original sentence "A line plot shows snowfall in inches: 14→5 Xs, 12→3 Xs, 34→2 Xs. A student says the total snowfall across all days is 10 inches." contained an error that needed to be fixed.
3. Fix the sentence:
A line plot shows trail lengths in miles: 18→2 Xs, 38→4 Xs, 58→3 Xs, 78→1 X. A student says 6 trails are longer than 28 mile.
Corrected: Trails longer than 28 mile: 38(4)+58(3)+78(1) = 4+3+1 = 8 trails, not 6.
The corrected sentence is: "Trails longer than 28 mile: 38(4)+58(3)+78(1) = 4+3+1 = 8 trails, not 6.". The original sentence "A line plot shows trail lengths in miles: 18→2 Xs, 38→4 Xs, 58→3 Xs, 78→1 X. A student says 6 trails are longer than 28 mile." contained an error that needed to be fixed.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. A line plot shows hours spent reading: 14→4 Xs, 12→7 Xs, 34→3 Xs, 1→2 Xs. The number of students who read 12 hour or more is 12.
Students who read 12 hour OR MORE: 7 (at 12) + 3 (at 34) + 2 (at 1) = 12 students.
2. A line plot shows hours spent reading: 14→4 Xs, 12→7 Xs, 34→3 Xs, 1→2 Xs. The difference between the most common and least common X mark counts is 5.
Most X marks: 7 (at 12). Least X marks: 2 (at 1). Difference: 7 − 2 = 5.
3. A line plot shows distances walked in miles: 18→1 X, 28→3 Xs, 38→5 Xs, 48→2 Xs. How many of the 11 walkers walked exactly 38 mile? Answer: 5.
The 38 marker has 5 X marks, so 5 walkers walked exactly 38 mile.
4. A line plot shows distances walked in miles: 18→1 X, 28→3 Xs, 38→5 Xs, 48→2 Xs. The number of walkers who walked less than 38 mile is 4.
Less than 38: 18→1 X and 28→3 Xs. Total = 1 + 3 = 4 walkers walked less than 38 mile.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. A line plot shows apple weights in pounds: 14→3 Xs, 12→5 Xs, 34→4 Xs, 1→2 Xs. How many apples weigh more than 12 pound? How many weigh 12 pound or less? Which group is larger?
Sample answer: More than 12 pound: 34(4)+1(2)=6 apples. At 12 pound or less: 14(3)+12(5)=8 apples. The 12 pound or less group is larger.
Identify which values are greater than 12 (34 and 1) and which are less than or equal to 12 (14 and 12). Count X marks for each group.
2. A line plot shows milk used in cups: 14→2 Xs, 12→4 Xs, 34→3 Xs, 1→1 X. What is the total amount of milk used across all recipes? Show your work.
Sample answer: Multiply each value by its count and add: (2×14)+(4×12)+(3×34)+(1×1) = 24+84+94+44 = 234 = 534 cups total.
To find total: multiply each data value by its frequency and sum all products. Using LCD 4: 24+84+94+44=234=534 cups.