What Is The Mean Of The First 10 Natural Numbers?A. 6.5 B. 5.5 C. 7.5 D. 8.5

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Introduction

In mathematics, the mean of a set of numbers is a measure of the central tendency of the data. It is calculated by adding up all the numbers and then dividing by the total count of numbers. In this article, we will explore the concept of mean and calculate the mean of the first 10 natural numbers.

What are Natural Numbers?

Natural numbers are positive integers that start from 1 and continue indefinitely. They are also known as counting numbers. The first 10 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.

Calculating the Mean

To calculate the mean of the first 10 natural numbers, we need to add up all the numbers and then divide by the total count of numbers. The formula for calculating the mean is:

Mean = (Sum of all numbers) / (Total count of numbers)

Step 1: Add up the First 10 Natural Numbers

The first 10 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. Let's add them up:

1 + 2 = 3 3 + 3 = 6 6 + 4 = 10 10 + 5 = 15 15 + 6 = 21 21 + 7 = 28 28 + 8 = 36 36 + 9 = 45 45 + 10 = 55

The sum of the first 10 natural numbers is 55.

Step 2: Divide by the Total Count of Numbers

The total count of numbers is 10. Let's divide the sum by the total count:

Mean = 55 / 10 Mean = 5.5

Conclusion

The mean of the first 10 natural numbers is 5.5. This means that if we were to take a random sample of 10 natural numbers, the average value would be 5.5.

Comparison with Options

Let's compare our result with the options provided:

A. 6.5 B. 5.5 C. 7.5 D. 8.5

Our result matches option B, which is 5.5.

Importance of Mean in Real-Life Scenarios

The mean is an important concept in mathematics and has many real-life applications. For example, in finance, the mean is used to calculate the average return on investment. In medicine, the mean is used to calculate the average height or weight of a population. In sports, the mean is used to calculate the average score of a team.

Conclusion

In conclusion, the mean of the first 10 natural numbers is 5.5. This concept is important in mathematics and has many real-life applications. We hope this article has provided a clear understanding of the concept of mean and its calculation.

Frequently Asked Questions

  • What is the mean of the first 10 natural numbers?
  • How is the mean calculated?
  • What are the real-life applications of the mean?

Answers

  • The mean of the first 10 natural numbers is 5.5.
  • The mean is calculated by adding up all the numbers and then dividing by the total count of numbers.
  • The mean has many real-life applications, including finance, medicine, and sports.

References

Note: The references provided are for informational purposes only and are not a substitute for the original sources.

Introduction

In our previous article, we explored the concept of mean and calculated the mean of the first 10 natural numbers. In this article, we will answer some frequently asked questions (FAQs) about the mean of the first 10 natural numbers.

Q&A

Q1: What is the mean of the first 10 natural numbers?

A1: The mean of the first 10 natural numbers is 5.5.

Q2: How is the mean calculated?

A2: The mean is calculated by adding up all the numbers and then dividing by the total count of numbers.

Q3: What are the first 10 natural numbers?

A3: The first 10 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.

Q4: Why is the mean important?

A4: The mean is an important concept in mathematics and has many real-life applications, including finance, medicine, and sports.

Q5: Can you explain the formula for calculating the mean?

A5: The formula for calculating the mean is:

Mean = (Sum of all numbers) / (Total count of numbers)

Q6: What is the sum of the first 10 natural numbers?

A6: The sum of the first 10 natural numbers is 55.

Q7: How do you calculate the sum of the first 10 natural numbers?

A7: To calculate the sum of the first 10 natural numbers, you can use the formula:

Sum = n(n + 1)/2

where n is the last number in the sequence.

Q8: Can you provide an example of how to calculate the mean in a real-life scenario?

A8: Yes, here's an example:

Suppose you have a class of 10 students, and their heights are 1.5m, 1.6m, 1.7m, 1.8m, 1.9m, 2.0m, 2.1m, 2.2m, 2.3m, and 2.4m. To calculate the mean height, you would add up all the heights and then divide by the total count of students.

Mean height = (1.5 + 1.6 + 1.7 + 1.8 + 1.9 + 2.0 + 2.1 + 2.2 + 2.3 + 2.4) / 10 Mean height = 20.0 / 10 Mean height = 2.0m

Q9: What is the difference between the mean and the median?

A9: The mean and the median are both measures of central tendency, but they are calculated differently. The mean is calculated by adding up all the numbers and then dividing by the total count of numbers, while the median is the middle value in a sorted list of numbers.

Q10: Can you provide a summary of the key points about the mean of the first 10 natural numbers?

A10: Yes, here's a summary:

  • The mean of the first 10 natural numbers is 5.5.
  • The mean is calculated by adding up all the numbers and then dividing by the total count of numbers.
  • The first 10 natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.
  • The mean is an important concept in mathematics and has many real-life applications.

Conclusion

In conclusion, we hope this article has provided a clear understanding of the mean of the first 10 natural numbers and answered some frequently asked questions about this topic. If you have any further questions, please don't hesitate to ask.