How to find the range, variance, and standard deviation of these numbers; 2,489; 48,430; 51,840; 53,179; 65,755; 268,581?

Answer 1

To find the range, subtract the smallest number from the largest number. In this case, the range is 268,581 - 2,489 = 266,092.

To find the variance, first calculate the mean by adding up all the numbers and dividing by the total count. The mean is (2,489 + 48,430 + 51,840 + 53,179 + 65,755 + 268,581) / 6 = 89,765.5. Then, subtract the mean from each number, square the result, and sum up all the squared differences. Divide this sum by the total count to get the variance. The variance is ( (2,489 - 89,765.5)^2 + (48,430 - 89,765.5)^2 + (51,840 - 89,765.5)^2 + (53,179 - 89,765.5)^2 + (65,755 - 89,765.5)^2 + (268,581 - 89,765.5)^2 ) / 6 = 47,244,091,091.92.

To find the standard deviation, take the square root of the variance. The standard deviation is √47,244,091,091.92 = 217,303.

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Answer 2
Range: highest number-lowest number: R=268,581-2,489=266,092 Variance( #sigma^2#) : for this you need to calculate the average. #bar x=#81,72
#sigma^2=((x_1-bar x)^2+...(x_n-bar x)^2)/N# , where N is the number of data you have. The standard deviation ( #sigma#) is the square root of the variance.
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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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