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vazorg [7]
2 years ago
13

If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standar

d deviation?
Mathematics
1 answer:
skad [1K]2 years ago
7 0

The sample standard deviation is (B) $3.16.

<h3>What is the sample standard deviation?</h3>
  • The sample standard deviation is defined as the root-mean-square of the differences between observations and the sample mean: A significant deviation is defined as two or more standard deviations from the mean.
  • The lowercase Greek letter (sigma) for the population standard deviation or the Latin letter s for the sample standard deviation is most commonly used in mathematical texts and equations to represent standard deviation.
  • For example, if the sample variance for a frequency distribution of hourly wages is 10 and the sample standard deviation is $3.16.

Therefore, the sample standard deviation is (B) $3.16.

Know more about sample standard deviation here:

brainly.com/question/475676


#SPJ4

The complete question is given below:
If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standard deviation?

A. $4.67

B. $3.16

C. $1.96

D. $10.00

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Answer:

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Step-by-step explanation:

I find it takes less work if I can eliminate obviously wrong answers. Toward that end, we can consider the constant terms only:

  1. -3 +(-2) = -5 . . . . possible equivalent
  2. -10 -5 = -15 . . . . NOT equivalent
  3. 3(-5) -2(5) = -25 . . . . NOT equivalent
  4. -9 -(-4) = -5 . . . . possible equivalent
  5. -7 -(-5) = -2 . . . . NOT equivalent
  6. 2(-1) -3(1) = -5 . . possible equivalent

Now, we can go back and check the other terms in the candidate expressions we have identified.

  1. (-16x² +10x -3) +(4x² -29x -2) = (-16+4)x² +(10-29)x -5 = -12x² -19x -5 . . . OK

  4. (2x² -11x -9) -(14x² +8x -4) = (2-14)x² +(-11-8)x -5 = -12x² -19x -5 . . . OK

  6. 2(x -1) -3(4x² +7x +1) = -12x² +(2 -3·7)x -5 = -12x² -19x -5 . . . OK

All three of the "possible equivalent" expressions we identified on the first pass are fully equivalent to the target expression. These are your answer choices.

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