
Find the mean of the first six multiples of 4?
(a) 13.5
(b) 14.5
(c) 14
(d) 16
Answer
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Hint: We start solving the problem by calculating the first six multiples of 4 by multiplying 4 with the integers 1, 2, 3, 4, 5 and 6 respectively. We then substitute the obtained values in the formula of mean of n numbers and make necessary calculations to get the required value of the mean of the numbers.
Complete step by step answer:
According to the problem, we need to find the mean of the first six multiples of 4.
Let us first find the six multiples of 4 and then find the mean of those numbers.
We know that the first six multiples of 4 are found by multiplying 4 with 1, 2, 3, 4, 5, 6.
So, we get .
.
.
.
.
.
So, we have found the first six multiples of 4 as 4, 8, 12, 16, 20, 24.
Now, let us find the mean of the obtained numbers 4, 8, 12, 16, 20, 24. Let us assume it as m.
We know that the mean of the numbers , ,……, is .
So, we get mean (m) = .
mean (m) = .
mean (m) = .
So, we have found the mean of the first six multiples of 4 as 14.
∴ The mean of the first six multiples of 4 is 14.
So, the correct answer is “Option C”.
Note: We should not consider negative integers or zero while taking the integral multiples of 4, as the multiples are always assumed to start with the integer 1 and move forwards. We should consider multiplying 4 with 0 or negative integers or fractions if it is mentioned in the problem. We can also solve this problem by finding the mean of the numbers 1, 2, 3, 4, 5 and 6 first and then multiplying this mean with 4.
Complete step by step answer:
According to the problem, we need to find the mean of the first six multiples of 4.
Let us first find the six multiples of 4 and then find the mean of those numbers.
We know that the first six multiples of 4 are found by multiplying 4 with 1, 2, 3, 4, 5, 6.
So, we get
So, we have found the first six multiples of 4 as 4, 8, 12, 16, 20, 24.
Now, let us find the mean of the obtained numbers 4, 8, 12, 16, 20, 24. Let us assume it as m.
We know that the mean of the numbers
So, we get mean (m) =
So, we have found the mean of the first six multiples of 4 as 14.
∴ The mean of the first six multiples of 4 is 14.
So, the correct answer is “Option C”.
Note: We should not consider negative integers or zero while taking the integral multiples of 4, as the multiples are always assumed to start with the integer 1 and move forwards. We should consider multiplying 4 with 0 or negative integers or fractions if it is mentioned in the problem. We can also solve this problem by finding the mean of the numbers 1, 2, 3, 4, 5 and 6 first and then multiplying this mean with 4.
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