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The mean of 5 numbers is 15. If one more number is included, the mean of 6 numbers becomes 17. What is the included number?
- a)24
- b)25
- c)26
- d)27
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
The mean of 5 numbers is 15. If one more number is included, the mean ...
Since mean of 5 numbers is 15;
∴ Sum of 5 number = 5 × 15 = 75
Mean of 6 numbers becomes 17
∴ Sum of 6 number = 6 × 17 = 102
∴ The included 6th number = 102 - 75 = 27
∴ Sum of 5 number = 5 × 15 = 75
Mean of 6 numbers becomes 17
∴ Sum of 6 number = 6 × 17 = 102
∴ The included 6th number = 102 - 75 = 27
Most Upvoted Answer
The mean of 5 numbers is 15. If one more number is included, the mean ...
Given:
- Mean of 5 numbers is 15.
- Mean of 6 numbers is 17.
To Find:
- The included number.
Solution:
Let's solve this problem step by step.
Step 1: Finding the sum of 5 numbers
We are given that the mean of 5 numbers is 15. To find the sum of these 5 numbers, we multiply the mean by the total number of numbers.
Sum of 5 numbers = 15 x 5 = 75.
Step 2: Finding the sum of 6 numbers
We are given that the mean of 6 numbers is 17. To find the sum of these 6 numbers, we multiply the mean by the total number of numbers.
Sum of 6 numbers = 17 x 6 = 102.
Step 3: Finding the included number
To find the included number, we subtract the sum of 5 numbers from the sum of 6 numbers.
Included number = Sum of 6 numbers - Sum of 5 numbers
Included number = 102 - 75
Included number = 27.
Answer:
The included number is 27, which corresponds to option 'D'.
- Mean of 5 numbers is 15.
- Mean of 6 numbers is 17.
To Find:
- The included number.
Solution:
Let's solve this problem step by step.
Step 1: Finding the sum of 5 numbers
We are given that the mean of 5 numbers is 15. To find the sum of these 5 numbers, we multiply the mean by the total number of numbers.
Sum of 5 numbers = 15 x 5 = 75.
Step 2: Finding the sum of 6 numbers
We are given that the mean of 6 numbers is 17. To find the sum of these 6 numbers, we multiply the mean by the total number of numbers.
Sum of 6 numbers = 17 x 6 = 102.
Step 3: Finding the included number
To find the included number, we subtract the sum of 5 numbers from the sum of 6 numbers.
Included number = Sum of 6 numbers - Sum of 5 numbers
Included number = 102 - 75
Included number = 27.
Answer:
The included number is 27, which corresponds to option 'D'.
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The mean of 5 numbers is 15. If one more number is included, the mean of 6 numbers becomes 17. What is the included number?a)24b)25c)26d)27Correct answer is option 'D'. Can you explain this answer?
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