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The mean for counting numbers through 100 is
- a)47.5
- b)51
- c)50.5
- d)49.5
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The mean for counting numbers through 100 isa)47.5b)51c)50.5d)49.5Corr...
First 100 postive numbers are:
1, 2, 3,4,5, .....100.
These number are in AP.
Sum of AP is given by,
{n * (a + l) /2} [Where a = first term, n = number of terms, l = last term.]
= 100 * (1 +100)/2 = 50 * 101.
Required Average = (50 *101)/100 = 50.5.
Short-Cut:
For an AP series,
Average = (first term + last term) /2
For above given series average,
= ( 1 +100)/2 = 50.5.
1, 2, 3,4,5, .....100.
These number are in AP.
Sum of AP is given by,
{n * (a + l) /2} [Where a = first term, n = number of terms, l = last term.]
= 100 * (1 +100)/2 = 50 * 101.
Required Average = (50 *101)/100 = 50.5.
Short-Cut:
For an AP series,
Average = (first term + last term) /2
For above given series average,
= ( 1 +100)/2 = 50.5.
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Community Answer
The mean for counting numbers through 100 isa)47.5b)51c)50.5d)49.5Corr...
Explanation:
The mean of a set of numbers is the sum of all the numbers in the set divided by the total number of numbers in the set.
In this case, we are looking for the mean of counting numbers through 100, which means we need to find the sum of all the numbers from 1 to 100 and divide that sum by the total number of numbers in the set (which is 100).
Calculating the sum of counting numbers through 100:
We can use the formula for the sum of an arithmetic series to find the sum of counting numbers through 100:
S = (n/2)(a + l)
where S is the sum, n is the number of terms, a is the first term, and l is the last term.
In this case, n = 100, a = 1, and l = 100, so we can plug in these values and simplify:
S = (100/2)(1 + 100)
S = 50(101)
S = 5050
So the sum of counting numbers through 100 is 5050.
Calculating the mean:
Now that we have the sum, we can find the mean:
mean = sum/number of terms
mean = 5050/100
mean = 50.5
Therefore, the mean of counting numbers through 100 is 50.5.
The mean of a set of numbers is the sum of all the numbers in the set divided by the total number of numbers in the set.
In this case, we are looking for the mean of counting numbers through 100, which means we need to find the sum of all the numbers from 1 to 100 and divide that sum by the total number of numbers in the set (which is 100).
Calculating the sum of counting numbers through 100:
We can use the formula for the sum of an arithmetic series to find the sum of counting numbers through 100:
S = (n/2)(a + l)
where S is the sum, n is the number of terms, a is the first term, and l is the last term.
In this case, n = 100, a = 1, and l = 100, so we can plug in these values and simplify:
S = (100/2)(1 + 100)
S = 50(101)
S = 5050
So the sum of counting numbers through 100 is 5050.
Calculating the mean:
Now that we have the sum, we can find the mean:
mean = sum/number of terms
mean = 5050/100
mean = 50.5
Therefore, the mean of counting numbers through 100 is 50.5.
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The mean for counting numbers through 100 isa)47.5b)51c)50.5d)49.5Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The mean for counting numbers through 100 isa)47.5b)51c)50.5d)49.5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean for counting numbers through 100 isa)47.5b)51c)50.5d)49.5Correct answer is option 'C'. Can you explain this answer?.
The mean for counting numbers through 100 isa)47.5b)51c)50.5d)49.5Correct answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about The mean for counting numbers through 100 isa)47.5b)51c)50.5d)49.5Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean for counting numbers through 100 isa)47.5b)51c)50.5d)49.5Correct answer is option 'C'. Can you explain this answer?.
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