AIIMS CRE 2025
Nursing Research & Statistics
Medium
What is the average of the First 10 Natural Numbers?
Appeared in: AIIMS CRE 2025
Explanation
- The average of a set of values is its sum divided by the number of values.
- The first 10 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
- The sum of these numbers is 55 (1+2+...+10 = 55).
- The count of the numbers is 10.
- Therefore, the average is 55 divided by 10, which equals 5.5.
Why Other Options Were Wrong
- Option B: This is the average of the first 9 natural numbers (1 to 9). The sum is 45, and 45 / 9 = 5. However, the question asks for the first 10.
- Option C: This is the average of the first 9 whole numbers (0 to 9), which sums to 45, and 45 / 10 = 4.5. It is also the median of the first 9 natural numbers. It is an incorrect calculation for the first 10 natural numbers.
- Option D: This value does not correspond to a common miscalculation for this problem. It might result from an arithmetic error, such as incorrectly summing the numbers to 60.
Related Visual
- Visual 1: Infographic - A simple chart showing the two methods to calculate the average: (1) Summing all numbers and dividing by the count, and (2) Using the (First + Last) / 2 formula for arithmetic series.
Clinical Relevance
- Nursing practice connection: This is primarily an exam-oriented knowledge point with limited direct bedside application, so retain Calculation of the average (mean) of the first 10 natural numbers as background academic context rather than a clinical decision trigger.
- While this is a mathematics question, strong numeracy skills are fundamental in nursing for accurate medication dosage calculations, titrating IV drips, calculating patient intake and output, and interpreting lab values.
- Errors in basic math can have serious patient safety consequences, making proficiency in calculations a core nursing competency.
- What if the question asked for the average of the first 10 whole numbers? The set would be 0, 1, 2, 3, 4, 5, 6, 7, 8, 9. The sum would be 45, and the average would be 45 / 10 = 4.5.
How to Approach the Question
- First, identify the key terms in the question: 'average', 'First 10', and 'Natural Numbers'.
- Recall the definition of natural numbers (counting numbers starting from 1). List the specific numbers required: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
- Recall the formula for calculating an average: Sum of values / Count of values.
- Calculate the sum of the numbers. A quick way is to pair them: (1+10) + (2+9) + ... = 11 * 5 = 55.
- Divide the sum (55) by the count (10) to find the average.
- Alternatively, recognize that this is an arithmetic sequence and use the shortcut: (First Term + Last Term) / 2.
Concept Tested & Keywords
- Concept Tested: Calculation of the average (mean) of the first 10 natural numbers.
- Stem keywords: average, First 10, Natural Numbers
- Lead-in keywords: What is
Question ID
Q8-hg_n4CmZfJJ1EMJB5_S
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Attempt every question from this paper in a timed mock, then review the full solution for each one.
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