The mean of five numbers is 12. If four of the numbers are 10, 15, 18, and 14, then the fifth number is:a.20b.15c.8d.3
Question
The mean of five numbers is 12. If four of the numbers are 10, 15, 18, and 14, then the fifth number is:a.20b.15c.8d.3
Solution 1
To find the fifth number, we can use the formula for the mean of a set of numbers. The mean is calculated by adding up all the numbers and then dividing by the total number of numbers.
Given that the mean of the five numbers is 12, and we already know four of the numbers are 10, 15, 18, and 14, we can substitute these values into the formula.
(10 + 15 + 18 + 14 + x) / 5 = 12
Now, we can solve for x, which represents the fifth number.
57 + x = 60
Subtracting 57 from both sides, we get:
x = 3
Therefore, the fifth number is 3. So, the correct answer is d.3.
Solution 2
To find the fifth number, we can use the formula for the mean of a set of numbers. The mean is calculated by adding up all the numbers and then dividing by the total number of numbers.
Given that the mean of the five numbers is 12, and we already know four of the numbers are 10, 15, 18, and 14, we can substitute these values into the formula.
(10 + 15 + 18 + 14 + x) / 5 = 12
Now, we can solve for x, which represents the fifth number.
57 + x = 60
Subtracting 57 from both sides, we get:
x = 3
Therefore, the fifth number is 3. So, the correct answer is d.3.
Solution 3
To find the fifth number, we can use the formula for the mean of a set of numbers. The mean is calculated by adding up all the numbers and then dividing by the total number of numbers.
Given that the mean of the five numbers is 12, and we already know four of the numbers are 10, 15, 18, and 14, we can substitute these values into the formula.
(10 + 15 + 18 + 14 + x) / 5 = 12
Now, we can solve for x, which represents the fifth number.
57 + x = 60
Subtracting 57 from both sides, we get:
x = 3
Therefore, the fifth number is 3. So, the correct answer is d.3.
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