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Statistical Questions

Grade 6 · Statistics · Worksheet 3

  1. A school is planning a field trip to the science museum. The total cost for the trip is $1,250, which includes bus rental and admission fees. If 32 students are going on the trip, and the school has already raised $350 through a bake sale, how much does each student need to pay to cover the remaining cost? Answer: ______________
  2. Liam is conducting a survey about favorite school subjects among his classmates. He asks each student to name their single favorite subject. After surveying 24 students, he records the following results: Math - 8 students, Science - 6 students, English - 5 students, History - 3 students, Art - 2 students. What percentage of students chose Math as their favorite subject? Round your answer to the nearest whole percent. Answer: ______________
  3. Which question is statistical: 'How many books does Kaia read in a month?' or 'How many books does Tane read in a month?' Explain why. Answer: ______________
  4. Liam is conducting a survey about favorite school subjects among his classmates. He surveyed 32 students and found that 12 preferred math, 8 preferred science, 6 preferred English, and the rest preferred art. What percentage of students preferred art? Round your answer to the nearest whole percent. Answer: ______________
  5. A rectangular prism is drawn with a length of 12 cm, width of 8 cm, and height of 5 cm. If you were to calculate the volume of this prism, what would it be in cubic centimeters?
    Answer: ______________
  6. A school is organizing a field trip to a science museum. The total cost for the trip is $1,840, which includes bus rental and admission fees for all students. If 46 students are going on the trip, and the school has already raised $552 through a fundraiser, how much does each student need to pay to cover the remaining cost? Answer: ______________
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Answer Key & Explanations

Statistical Questions · Grade 6 · Worksheet 3

  1. A school is planning a field trip to the science museum. The total cost for the trip is $1,250, which includes bus rental and admission fees. If 32 students are going on the trip, and the school has already raised $350 through a bake sale, how much does each student need to pay to cover the remaining cost? Answer: 28.125 Solution: Calculate the remaining cost after the bake sale: $1,250 - $350 = $900 Divide the remaining cost by the number of students: $900 ÷ 32 Perform the division: 900 ÷ 32 = 28.125 Each student needs to pay $28.125 to cover the remaining cost.
    Full step-by-step solution

    Step 1: Calculate the remaining cost after the bake sale: $1,250 - $350 = $900 Step 2: Divide the remaining cost by the number of students: $900 ÷ 32 Step 3: Perform the division: 900 ÷ 32 = 28.125 Each student needs to pay $28.125 to cover the remaining cost.

  2. Liam is conducting a survey about favorite school subjects among his classmates. He asks each student to name their single favorite subject. After surveying 24 students, he records the following results: Math - 8 students, Science - 6 students, English - 5 students, History - 3 students, Art - 2 students. What percentage of students chose Math as their favorite subject? Round your answer to the nearest whole percent. Answer: 33% Solution: Identify the total number of students surveyed. From the problem, Liam surveyed 24 students. Identify how many students chose Math as their favorite subject.
    Full step-by-step solution

    Step 1: Identify the total number of students surveyed. From the problem, Liam surveyed 24 students. Step 2: Identify how many students chose Math as their favorite subject. The results show Math was chosen by 8 students. Step 3: Write the fraction of students who chose Math. Fraction = (Number who chose Math) / (Total students) = 8 / 24. Step 4: Simplify the fraction if possible. 8/24 = 1/3. Step 5: Convert the fraction to a percentage. 1/3 as a decimal is approximately 0.3333... Multiply by 100 to get a percentage: 0.3333... × 100 = 33.333...% Step 6: Round to the nearest whole percent. 33.333...% rounds to 33%. Final Answer: 33%

  3. Which question is statistical: 'How many books does Kaia read in a month?' or 'How many books does Tane read in a month?' Explain why. Answer: Neither is statistical; both ask about a single person. Solution: A statistical question anticipates variability — it expects different answers when asked of different people. Step 2: 'How many books does Kaia read in a month?' asks about only one person (Kaia), so there is only one answer.
    Full step-by-step solution

    Step 1: A statistical question anticipates variability — it expects different answers when asked of different people. Step 2: 'How many books does Kaia read in a month?' asks about only one person (Kaia), so there is only one answer. Step 3: 'How many books does Tane read in a month?' also asks about only one person (Tane), so there is only one answer. Step 4: Neither question expects a range of answers from a group. Therefore, neither is a statistical question. The correct answer is: Neither is statistical.

  4. Liam is conducting a survey about favorite school subjects among his classmates. He surveyed 32 students and found that 12 preferred math, 8 preferred science, 6 preferred English, and the rest preferred art. What percentage of students preferred art? Round your answer to the nearest whole percent. Answer: 19% Solution: Find the number of students who preferred art. We know the total number of students surveyed is 32. The students who preferred math, science, or English are: 12 (math) + 8 (science) + 6 (English) = 26 students.
    Full step-by-step solution

    Step 1: Find the number of students who preferred art. We know the total number of students surveyed is 32. The students who preferred math, science, or English are: 12 (math) + 8 (science) + 6 (English) = 26 students. So, the students who preferred art = total students - students who preferred other subjects: 32 - 26 = 6 students. Step 2: Find the fraction of students who preferred art. Fraction = (number who preferred art) / (total students) = 6 / 32. Step 3: Convert the fraction to a percentage. Percentage = (6 / 32) × 100. First, simplify 6/32: both divisible by 2 → 3/16. Now, 3 ÷ 16 = 0.1875. Multiply by 100: 0.1875 × 100 = 18.75%. Step 4: Round to the nearest whole percent. 18.75% rounds to 19% because the decimal part (0.75) is greater than or equal to 0.5. Final answer: 19%

  5. A rectangular prism is drawn with a length of 12 cm, width of 8 cm, and height of 5 cm. If you were to calculate the volume of this prism, what would it be in cubic centimeters? Answer: 480 Solution: The formula for volume of a rectangular prism is length × width × height Substitute the given values: 12 cm × 8 cm × 5 cm First multiply 12 × 8 = 96 Then multiply 96 × 5 = 480 Include the units: 480 cubic centimeters The answer is 480.
    Full step-by-step solution

    Step 1: The formula for volume of a rectangular prism is length × width × height Step 2: Substitute the given values: 12 cm × 8 cm × 5 cm Step 3: First multiply 12 × 8 = 96 Step 4: Then multiply 96 × 5 = 480 Step 5: Include the units: 480 cubic centimeters The answer is 480.

  6. A school is organizing a field trip to a science museum. The total cost for the trip is $1,840, which includes bus rental and admission fees for all students. If 46 students are going on the trip, and the school has already raised $552 through a fundraiser, how much does each student need to pay to cover the remaining cost? Answer: 28 Solution: Find the remaining cost after the fundraiser. Total cost = $1,840 Money raised = $552 Remaining cost = $1,840 - $552 = $1,288 Divide the remaining cost by the number of students to find the cost per student.
    Full step-by-step solution

    Step 1: Find the remaining cost after the fundraiser. Total cost = $1,840 Money raised = $552 Remaining cost = $1,840 - $552 = $1,288 Step 2: Divide the remaining cost by the number of students to find the cost per student. Number of students = 46 Cost per student = $1,288 / 46 Step 3: Perform the division. $1,288 ÷ 46 = $28 Each student needs to pay $28.