Question

Laws Passed The data show the number of public laws passed by the U.S. Congress for a sample of recent years. Find the range, variance, and standard deviation for the data.
283 394 383 580 498 460 377 482

Answer 1

The desired measures for the data are given as follows:

• Range: 297.

• Variance: 7326.86.

• Standard deviation: 85.6.

What is the range of a data-set?

The range of a data-set is given by the difference between the greatest and the smallest value of the data-set.

Hence, for this data-set, the range is:

580 - 283 = 297.

What are the mean, the variance, and the standard deviation of a data-set?

• The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.

• The variance is given by the sum of the difference squared of each observation and the mean, divided by the number of observations.

• The standard deviation is the square root of the variance.

The mean is given by:

(283 + 394 + 383 + 580 + 498 + 460 + 377 + 482)/8 = 432.125.

Then the variance is:

V = [(283-432.125)² + (394-432.125)² + (383-432.125)² + (580-432.125)² + (498-432.125)² + (460-432.125)² + (377-432.125)² + (482-432.125)²]/8

V = 7326.86.

And the standard deviation is:

S = sqrt(7326.86) = 85.6.

More can be learned about the measures of a data-set at https://brainly.com/question/12180602

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