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What is the mean of first 99 natural numbers ?
  • a)
    100
  • b)
    50.5
  • c)
    50
  • d)
    99
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the mean of first 99 natural numbers ?a)100b)50.5c)50d)99Corre...
Concept:
Suppose there are ‘n’ observations {x1,x2,x3,…,xn}

Sum of the first n natural numbers
Calculation:
To find:  Mean of the first 99 natural numbers
As we know, Sum of first n natural numbers 
Now, Mean

Free Test
Community Answer
What is the mean of first 99 natural numbers ?a)100b)50.5c)50d)99Corre...
Mean of the first 99 natural numbers

To find the mean of a set of numbers, we add up all the numbers in the set and then divide the sum by the total number of values in the set. In this case, we need to find the mean of the first 99 natural numbers.

Step 1: Finding the sum of the first 99 natural numbers

The sum of the first n natural numbers can be found using the formula:
sum = (n * (n + 1)) / 2

In this case, n = 99
sum = (99 * (99 + 1)) / 2
sum = (99 * 100) / 2
sum = 9900 / 2
sum = 4950

So, the sum of the first 99 natural numbers is 4950.

Step 2: Finding the mean

The mean is calculated by dividing the sum by the total number of values. In this case, there are 99 natural numbers.

mean = sum / total number of values
mean = 4950 / 99
mean = 50

Therefore, the mean of the first 99 natural numbers is 50.

Conclusion

The mean of a set of numbers is the average value of the numbers in the set. In this case, the mean of the first 99 natural numbers is 50. This means that if we were to add up all the numbers from 1 to 99 and then divide the sum by 99, we would get an average value of 50.
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What is the mean of first 99 natural numbers ?a)100b)50.5c)50d)99Correct answer is option 'C'. Can you explain this answer?
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