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What is the arithmetic mean of 1, 2,3,4,5,6,7,8, 9 and 10?
- a)5.5
- b)6
- c)7.5
- d)10
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
What is the arithmetic mean of 1, 2,3,4,5,6,7,8, 9 and 10?a)5.5 b)6c)7...
Solution:
Add all the numbers: 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
Count the total number of numbers: There are 10 numbers.
Divide the sum by the total number of numbers: Arithmetic mean = 55 / 10 = 5.5
Therefore, the arithmetic mean of 1, 2, ..., 9, and 10 is 5.5.
Shortcut for Finding the Mean of Consecutive Numbers
For a series of consecutive numbers, the arithmetic mean is simply the average of the first and last number.
In this case, the numbers are consecutive from 1 to 10.
- First number: 1
- Last number: 10
Mean = (First number + Last number) / 2 = (1 + 10) / 2 = 11 / 2 = 5.5
Therefore, the arithmetic mean of 1, 2, ..., 9, and 10 is 5.5.
This shortcut works because the numbers are evenly spaced.
Most Upvoted Answer
What is the arithmetic mean of 1, 2,3,4,5,6,7,8, 9 and 10?a)5.5 b)6c)7...
Arithmetic Mean of a Set of Numbers
The arithmetic mean of a set of numbers is the sum of all the numbers in the set, divided by the number of elements in the set. In other words,
Arithmetic Mean = (Sum of all the numbers in the set) / (Number of elements in the set)
Solution
In this problem, we are given the set of numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
To find the arithmetic mean of this set, we need to first find the sum of all the numbers in the set.
Sum of Numbers = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
= 55
The number of elements in the set is 10. Therefore, the arithmetic mean of the set is:
Arithmetic Mean = (Sum of all the numbers in the set) / (Number of elements in the set)
= 55 / 10
= 5.5
Therefore, the answer is option A, 5.5.
The arithmetic mean of a set of numbers is the sum of all the numbers in the set, divided by the number of elements in the set. In other words,
Arithmetic Mean = (Sum of all the numbers in the set) / (Number of elements in the set)
Solution
In this problem, we are given the set of numbers: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
To find the arithmetic mean of this set, we need to first find the sum of all the numbers in the set.
Sum of Numbers = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10
= 55
The number of elements in the set is 10. Therefore, the arithmetic mean of the set is:
Arithmetic Mean = (Sum of all the numbers in the set) / (Number of elements in the set)
= 55 / 10
= 5.5
Therefore, the answer is option A, 5.5.
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What is the arithmetic mean of 1, 2,3,4,5,6,7,8, 9 and 10?a)5.5 b)6c)7...
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