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The observations 4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6 are outputs of 12 dices thrown simultaneously. If m and M are means of lowest 8 observations and highest 4 observations respectively, then what is (2m + M) equal to?
- a)10
- b)12
- c)17
- d)21
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
The observations 4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6 are outputs of 12 ...
Calculation:
To find the value of (2m + M), where m is the mean of the lowest 8 observations and M is the mean of the highest 4 observations, we first need to determine the values of m and M.
Given the observations:
4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6.
To find m, the mean of the lowest 8 observations,
We arrange the observations in ascending order and calculate the mean:
1, 1, 1, 2, 3, 3, 4, 4.
mean (m)
= (1 + 1 + 1 + 2 + 3 + 3 + 4 + 4) / 8
= 19 / 8
= 19 / 8
To find M, the mean of the highest 4 observations,
we arrange the observations in descending order and calculate the mean:
6, 6, 5, 4.
M = (6 + 6 + 5 + 4) / 4
= 21 / 4
= 21 / 4
Then (2m + M):
= 2×19/8 + 21/4
= 10
Therefore, (2m + M) is equal to 10.
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Community Answer
The observations 4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6 are outputs of 12 ...
To find the value of (2m + M), we need to calculate the mean of the lowest 8 observations (m) and the mean of the highest 4 observations (M). Let's break down the problem step by step:
Step 1: Sorting the observations
First, let's sort the given observations in ascending order:
1, 1, 1, 2, 3, 3, 4, 4, 4, 5, 6, 6
Step 2: Calculating the mean of the lowest 8 observations (m)
To find the mean (average), we sum up all the lowest 8 observations and divide it by 8:
m = (1 + 1 + 1 + 2 + 3 + 3 + 4 + 4) / 8
m = 19 / 8
m = 2.375
Step 3: Calculating the mean of the highest 4 observations (M)
To find the mean (average), we sum up all the highest 4 observations and divide it by 4:
M = (4 + 5 + 6 + 6) / 4
M = 21 / 4
M = 5.25
Step 4: Calculating (2m + M)
Now, we can substitute the values of m and M into the equation:
(2m + M) = (2 * 2.375 + 5.25)
(2m + M) = (4.75 + 5.25)
(2m + M) = 10
Therefore, (2m + M) is equal to 10, which corresponds to option A in the given options.
Step 1: Sorting the observations
First, let's sort the given observations in ascending order:
1, 1, 1, 2, 3, 3, 4, 4, 4, 5, 6, 6
Step 2: Calculating the mean of the lowest 8 observations (m)
To find the mean (average), we sum up all the lowest 8 observations and divide it by 8:
m = (1 + 1 + 1 + 2 + 3 + 3 + 4 + 4) / 8
m = 19 / 8
m = 2.375
Step 3: Calculating the mean of the highest 4 observations (M)
To find the mean (average), we sum up all the highest 4 observations and divide it by 4:
M = (4 + 5 + 6 + 6) / 4
M = 21 / 4
M = 5.25
Step 4: Calculating (2m + M)
Now, we can substitute the values of m and M into the equation:
(2m + M) = (2 * 2.375 + 5.25)
(2m + M) = (4.75 + 5.25)
(2m + M) = 10
Therefore, (2m + M) is equal to 10, which corresponds to option A in the given options.
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The observations 4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6 are outputs of 12 dices thrown simultaneously. If m and M are means of lowest 8 observations and highest 4 observations respectively, then what is (2m + M) equal to?a)10b)12c)17d)21Correct answer is option 'A'. Can you explain this answer?
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The observations 4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6 are outputs of 12 dices thrown simultaneously. If m and M are means of lowest 8 observations and highest 4 observations respectively, then what is (2m + M) equal to?a)10b)12c)17d)21Correct answer is option 'A'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The observations 4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6 are outputs of 12 dices thrown simultaneously. If m and M are means of lowest 8 observations and highest 4 observations respectively, then what is (2m + M) equal to?a)10b)12c)17d)21Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The observations 4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6 are outputs of 12 dices thrown simultaneously. If m and M are means of lowest 8 observations and highest 4 observations respectively, then what is (2m + M) equal to?a)10b)12c)17d)21Correct answer is option 'A'. Can you explain this answer?.
The observations 4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6 are outputs of 12 dices thrown simultaneously. If m and M are means of lowest 8 observations and highest 4 observations respectively, then what is (2m + M) equal to?a)10b)12c)17d)21Correct answer is option 'A'. Can you explain this answer? for UPSC 2025 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The observations 4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6 are outputs of 12 dices thrown simultaneously. If m and M are means of lowest 8 observations and highest 4 observations respectively, then what is (2m + M) equal to?a)10b)12c)17d)21Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The observations 4, 1, 4, 3, 6, 2, 1, 3, 4, 5, 1, 6 are outputs of 12 dices thrown simultaneously. If m and M are means of lowest 8 observations and highest 4 observations respectively, then what is (2m + M) equal to?a)10b)12c)17d)21Correct answer is option 'A'. Can you explain this answer?.
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