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The mean and sd for a, b and 2 are 3 and 2/root 3. The value of ab is?
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The mean and sd for a, b and 2 are 3 and 2/root 3. The value of ab is?
Explanation:


Finding Mean and SD:


  • Given, mean of a, b and 2 is 3.

  • Let's assume the sum of a, b and 2 is x. So, we can write:

  • a + b + 2 = x

  • Mean of a, b and 2 = (a + b + 2)/3 = x/3 = 3

  • Therefore, x = 9

  • Now, we can find the value of a and b by assuming any one of them. Let's assume a:

  • So, a + b + 2 = 9

  • a = 9 - b - 2 = 7 - b

  • Similarly, we can write b = 7 - a

  • Now, we can find the value of a and b using their mean:

  • Mean of a and b = (a + b)/2 = (7 - b + b)/2 = 3.5

  • Therefore, a + b = 7

  • Substituting the value of b in the above equation:

  • a + (7 - a) = 7

  • a = 2

  • Therefore, b = 5

  • Now, we have found the values of a, b and 2. Let's find their standard deviation.

  • Given, standard deviation of a, b and 2 = 2/√3

  • Standard deviation formula:

  • SD = √[(Σ(x - μ)²)/n]

  • Where, Σ(x - μ)² is the sum of squares of deviation from mean, n is the number of observations.

  • Let's find the value of SD for a:

  • SD of a = √[(Σ(a - 2.33)²)/3] (Here, 2.33 is the mean of a and b)

  • SD of a = √[(a - 2.33)² + (b - 2.33)² + (2 - 2.33)²]/3

  • SD of a = √[(2 - 2.33)² + (5 - 2.33)² + (2 - 2.33)²]/3

  • SD of a = √[0.777 + 8.444 + 0.777]/3

  • SD of a = √10/√3

  • Similarly, we can find the SD for b and 2:

  • SD of b = √[(a - 2.33)² + (b - 2.33)² + (2 - 2.33)²]/3 = √10/√3

  • SD of 2 = √[(a - 2.33)² + (b - 2.33)² + (2 - 2.33)²]/3 =
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The mean and sd for a, b and 2 are 3 and 2/root 3. The value of ab is?
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The mean and sd for a, b and 2 are 3 and 2/root 3. The value of ab is? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The mean and sd for a, b and 2 are 3 and 2/root 3. The value of ab is? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean and sd for a, b and 2 are 3 and 2/root 3. The value of ab is?.
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