Probability and Data — Answer Key
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
Each star symbol equal 10 points on the pictograph chart.
Corrected: Each star symbol equals 10 points on the pictograph chart.
Subject-verb agreement makes equals correct with the singular subject star symbol in present tense.
2. Fix the sentence:
More than half the pie was blue, so blue is the smaller group.
Corrected: More than half the pie was blue, so blue is the larger group.
Logical wording must match the data; over half indicates the largest, not smallest, category in the pie.
3. Fix the sentence:
Column C has fewer marks than D, so C win the tally race.
Corrected: Column C has fewer marks than D, so D wins the tally race.
Both the comparison and verb form must match the data, so D wins fixes the meaning and agreement.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. If each car icon means 3 cars, then 7 icons show 21 cars total.
Seven icons of three each equal twenty-one cars because pictograph keys act as equal multipliers.
2. A pie chart with 5 equal slices gives each slice 20 percent of the whole.
Equal slices share the whole evenly, so 100 divided by 5 yields 20 percent for each part.
3. Tally column X shows 15 and Y shows 9, so X leads Y by 6 marks.
Comparison uses subtraction, and fifteen minus nine equals six additional tally marks for column X.
4. One quarter of a pie chart of 32 students stands for 8 students.
A quarter is one of four equal parts, and thirty-two divided by four equals eight students.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. How can comparing two tally columns quickly show which group is bigger?
Sample answer: Count each column's marks, then subtract the smaller from the larger to find the difference and identify the bigger group.
Subtraction tells the gap between counts, making it easy to spot the larger group at a glance.
2. Why do equal slices in a pie chart help you predict percentages?
Sample answer: Equal slices each get the same share of one hundred percent, so dividing by the slice count gives each slice's value.
Equal sectors split the whole evenly, so simple division gives a quick percent for each section.