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:
If each picture stand for 5 books, then 4 pictures show 9 books.
Corrected: If each picture stands for 5 books, then 4 pictures show 20 books.
Each symbol equals the key, so totals come from multiplication, not addition of the count and key.
2. Fix the sentence:
The pie chart show that half of students chose pizza for lunch.
Corrected: The pie chart shows that half of students chose pizza for lunch.
Subject-verb agreement requires shows with the singular subject pie chart in present tense.
3. Fix the sentence:
Tally marks for blue beats red, so blue have more votes.
Corrected: Tally marks for blue beat red, so blue has more votes.
Plural subjects take base verbs and singular color subjects take has, fixing two agreement errors here.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. If one apple icon equals 4 apples, then 6 icons show 24 apples.
Six groups of four equal twenty-four, since pictograph icons act as equal-size units.
2. A pie chart split into 4 equal slices makes each slice worth 25 percent.
Equal sectors share the whole evenly, so 100 divided by 4 gives 25 percent each.
3. Tally column A has 12 marks and column B has 7, so A leads by 5 marks.
Comparing tallies uses subtraction, and twelve minus seven equals five additional marks.
4. Half of a pie chart of 20 students equals 10 students.
Half of twenty is ten because dividing twenty by two gives ten students total.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Explain how a pictograph key helps you read large data quickly.
Sample answer: The key tells what each picture stands for, so you multiply the icon count by the key value to get the total fast.
Keys turn pictures into multiplication, letting one symbol represent many items and saving space on the chart.
2. Why must pie chart slices add up to the whole group?
Sample answer: Because the pie shows every category, all slices together must equal one hundred percent or the whole set surveyed.
A pie shows parts of one whole, so slice totals must equal the complete data set every time.