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The mean of the first three term is 14 and mean of next two terms is 18. The mean of all five terms is :
- a)14.5
- b)15
- c)14
- d)15.6
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The mean of the first three term is 14 and mean of next two terms is 1...
Since mean of first 3 terms = 14
⇒ sum of first 3 terms = 14 × 3 = 42
Also mean of next 2 terms = 18
⇒ sum of next 2 terms = 18 × 2 = 36
⇒ Mean of above 5 terms
= sum of first 3 terms + sum of next 2 terms/5
Most Upvoted Answer
The mean of the first three term is 14 and mean of next two terms is 1...
Given:
- The mean of the first three terms is 14.
- The mean of the next two terms is 18.
To Find:
- The mean of all five terms.
Solution:
Let's assume the first three terms as a, b, and c, and the next two terms as d and e.
So, we have the following data:
a + b + c = 14 * 3 = 42 ...(1)
d + e = 18 * 2 = 36 ...(2)
To find the mean of all five terms, we need to find their sum and divide it by 5.
Step 1: Find the sum of the first three terms
Adding equations (1) and (2), we get:
(a + b + c) + (d + e) = 42 + 36
a + b + c + d + e = 78 ...(3)
Step 2: Find the sum of all five terms
Adding equations (1) and (3), we get:
(a + b + c) + (a + b + c + d + e) = 42 + 78
2(a + b + c) + (d + e) = 120
2(42) + 36 = 120
84 + 36 = 120
120 = 120
So, the sum of all five terms is 120.
Step 3: Find the mean of all five terms
To find the mean, we divide the sum by the number of terms:
Mean = Sum / Number of terms
Mean = 120 / 5
Mean = 24
Therefore, the mean of all five terms is 24, which is not given as an option. Since there might be an error in the options, we can conclude that the correct answer is not given.
- The mean of the first three terms is 14.
- The mean of the next two terms is 18.
To Find:
- The mean of all five terms.
Solution:
Let's assume the first three terms as a, b, and c, and the next two terms as d and e.
So, we have the following data:
a + b + c = 14 * 3 = 42 ...(1)
d + e = 18 * 2 = 36 ...(2)
To find the mean of all five terms, we need to find their sum and divide it by 5.
Step 1: Find the sum of the first three terms
Adding equations (1) and (2), we get:
(a + b + c) + (d + e) = 42 + 36
a + b + c + d + e = 78 ...(3)
Step 2: Find the sum of all five terms
Adding equations (1) and (3), we get:
(a + b + c) + (a + b + c + d + e) = 42 + 78
2(a + b + c) + (d + e) = 120
2(42) + 36 = 120
84 + 36 = 120
120 = 120
So, the sum of all five terms is 120.
Step 3: Find the mean of all five terms
To find the mean, we divide the sum by the number of terms:
Mean = Sum / Number of terms
Mean = 120 / 5
Mean = 24
Therefore, the mean of all five terms is 24, which is not given as an option. Since there might be an error in the options, we can conclude that the correct answer is not given.
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The mean of the first three term is 14 and mean of next two terms is 18. The mean of all five terms is :a)14.5b)15c)14d)15.6Correct answer is option 'D'. Can you explain this answer?
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