Respuesta :
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
#SPJ1
