PARCC - Partnership for Assessment of Readiness for College and Careers Averages and Rounding Practice Questions 1 — Questions and Answers
Question 1: What is the mean of the data set: 45, 63, 27, 54, 36?
- 43
- 45 (Correct answer)
- 47
- 49
Correct answer: 45
Add all values: 45 + 63 + 27 + 54 + 36 = 225. Divide by the count of 5 values: 225 ÷ 5 = 45.
Question 2: A student scored 78, 84, 90, and 72 on four quizzes. What score does the student need on a fifth quiz to achieve an average of 82?
- 82
- 84
- 86 (Correct answer)
- 88
Correct answer: 86
The target sum for 5 quizzes at an average of 82 is 82 × 5 = 410. The current sum is 78 + 84 + 90 + 72 = 324. The needed score is 410 − 324 = 86.
Question 3: Round 7.3641 to the nearest tenth.
- 7.3
- 7.4 (Correct answer)
- 7.36
- 7.37
Correct answer: 7.4
The digit in the hundredths place is 6, which is ≥ 5, so the tenths digit rounds up from 3 to 4, giving 7.4.
Question 4: Six students scored 88, 94, 76, 82, 91, and 79 on an exam. What is their mean score?
- 84
- 85 (Correct answer)
- 86
- 87
Correct answer: 85
Sum of scores: 88 + 94 + 76 + 82 + 91 + 79 = 510. Divide by 6 students: 510 ÷ 6 = 85.
Question 5: Round 0.25648 to the nearest thousandth.
- 0.256 (Correct answer)
- 0.257
- 0.25
- 0.2565
Correct answer: 0.256
The digit in the ten-thousandths place is 4, which is < 5, so the thousandths digit stays as 6, giving 0.256.
Question 6: A store's daily sales for one week were: $320, $415, $289, $376, $401, $358, and $312. What is the mean daily sales amount, rounded to the nearest dollar?
- $350
- $352
- $353 (Correct answer)
- $355
Correct answer: $353
Sum: 320 + 415 + 289 + 376 + 401 + 358 + 312 = $2,471. Divide by 7 days: 2,471 ÷ 7 = 353. The decimal portion is exactly 0, so no rounding adjustment is needed.
What is the mean of the data set: 45, 63, 27, 54, 36?