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Romashka-Z-Leto [24]
3 years ago
6

A set of numbers is transformed by taking the log base 10 of each number. The mean of the transformed data is 1.65. What is the

geometric mean of the untransformed data?
Mathematics
1 answer:
adell [148]3 years ago
6 0

Answer:

Step-by-step explanation:

Given that:

A set of numbers is transformed by taking the log base 10 of each number. The mean of the transformed data is 1.65. What is the geometric mean of the untransformed data.

To obtain the geometric mean of the untransformed data,

X = set of numbers

N = number of observations

Arithmetic mean if transformed data = 1.65

Log(Xi).... = transformed data

Arithmetic mean = transformed data/ N

Log(Xi) / N = 1.65

(Πx)^(1/N), we obtain the antilog of the aritmétic mean simply by raising 10 to the power of the Arithmetic mean of the transformed data.

10^1.65 = 44.668359

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Answer:

The correct answer is: [A]: " -(-21)  =  21 " .

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Step-by-step explanation:

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Let us examine the answer choices given.

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Choice:  [A]:  " -(-21) = 21 .  This is correct;  

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"negative of a "negative value" is equal to the "positive value" of that same "positive value equivalent."

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Choice: [B]:  " -(-21) = -21 .  This is incorrect.  As explained above:

    → a "negative of negative" is a "positive value"  .

This answer choice shows that a "negative of negative"; is a "negative" :

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Choice: [C]:  " -(21) = 21 .  This is incorrect.  The "negative" value [of a positive integer is not equal to the "equivalent positive value" of that same integer.

   → Rule out:  "Choice:  [C]."

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Choice: [D]:  " (-21) = 21 ";  This is incorrect.  In a conceptually similar way as explained above—(for  "Answer Choice:  [C]" — the "negative value equivalent" of an integer is NOT equal to the "equivalent positive value" [of that same integer.].

  → Rule out:   "Choice:  [D]."

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The correct answer is:  [A]:  " -(-21) = 21 " .

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Hope this is helpful to you!

   Best wishes!

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