Question 1167732: 12,500 | 17,700 | 22,300
14,800 | 19,400 | 24,800
15,200 | 20,200 | 27,600
15,300 | 21,200 | 28,200
15,900 | 22,100 | 35,200
If the average and standard deviation of their components are 20,860 and 6, 168 respectively, determine the corresponding for the (use chebyshev theorem)
a.) 2nd standard deviation at the left side of the mean
Answer by CPhill(1959) (Show Source):
You can put this solution on YOUR website! To determine the value corresponding to the 2nd standard deviation at the left side of the mean, we will use the given average (mean) and standard deviation.
**Given:**
* Average (Mean, $\mu$) = 20,860
* Standard Deviation ($\sigma$) = 6,168
We need to find the value that is 2 standard deviations to the left (below) the mean.
**Calculation:**
Value = $\mu - 2\sigma$
Value = $20,860 - 2 \times 6,168$
Value = $20,860 - 12,336$
Value = $8,524$
The value corresponding to the 2nd standard deviation at the left side of the mean is 8,524.
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