23, 27, 27, 32, 35, 36, 52 What is the range of the 7 scores shown?
Correct answer: A. 29
- A. 29
- B. 30
- C. 39
- D. 49
Explanation
The correct answer is 29. The range of a data set is the difference between its maximum value and its minimum value. For this data set, the maximum score is 52 and the minimum score is 23. The difference between these scores is 52 - 23, which equals 29. Therefore, the range of the 7 scores shown is 29.Option A is correct because the calculation of the range is accurate. Option B is incorrect because it suggests an incorrect subtraction result. Option C is incorrect as it seems to add extra numbers rather than simply subtracting the minimum from the maximum. Option D is incorrect because it suggests an incorrect subtraction or misunderstanding of the range concept, leading to a result larger than possible.
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About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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