pls write the explanation of the solution
2007-02-09 06:24:36 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Engineering
THE OPTIONS ARE
a) 1,0,1,0,1,0
b) -1, -1, -1, -1, -1, -1
c) 1,1,1,1,1,1
d) 1,1,0, -1,0, -1
2007-02-09 06:32:30 · update #1
It would be option D. The SD for your number sets are as follows:
A. 0.54
B. 0.00
C. 0.00
D. 0.89
The greater the value, the more widely values are distributed from the mean (average). Watch out though. Unlike other answers posted here, just because one data set has a wider range than another DOES NOT mean it has a greater SD. You have to take into consideration all of the data points.
Some background.
SD = sq. root (sumation(x-mean)^2 / (n-1))
where n = number of data points in a set.
SD assumes a normally distributed data set. You probably don't need to be bothered with this, but its a common mistake made by people. Very few things in life are truly normally distributed. In enginnering Weibull is quite common.
2007-02-09 07:09:49 · answer #1 · answered by Boffin 2 · 0⤊ 0⤋
d
the standard deviation is the amount of data that is farthest from the average of the numbers. b and c are out, the standard deviation is 0 because all numbers are the same. the difference between the numbers in a are just 1, and the difference between the numbers in d are 2 from -1 to 1. so with the largest difference in data from the average of the numbers, the largest s.d is d
Which of the following set of numbers has the highest Standard deviation?
a) 1,0,1,0,1,0
b) -1, -1, -1, -1, -1, -1
c) 1,1,1,1,1,1
d) 1,1,0, -1,0, -1
2007-02-09 06:34:10 · answer #2 · answered by jasonalwaysready 4 · 0⤊ 0⤋
Just a guess would be the set of numbers with the largest high to low range. That would be answer d. All other choices are constant ( standard deviation is 0) or the other is maximum 1 to minimum 0. d) has a maximum 1 to minimum -1.
Of course you can always work the equations and actually calculate the standard deviation.
2007-02-09 10:00:01 · answer #3 · answered by rscanner 6 · 0⤊ 0⤋
d. And it really is something for you to be ready to comprehend intuitively. imagine about the that technique of the classic deviation, and the way it pertains to the spread of the concepts. when you're nonetheless having worry, you may practice the formula your self (?=?(?((x-?)²) / n)). the classic deviation of a is a million/2, the classic deviation of b is 0, the classic deviation of c is 0, and the classic deviation of d is two/?6.
2016-12-03 23:09:19 · answer #4 · answered by ? 4 · 0⤊ 0⤋
where is the set of numbers
2007-02-17 05:55:41 · answer #5 · answered by Anonymous · 0⤊ 0⤋
where is the set of numbers
2007-02-09 06:27:58 · answer #6 · answered by ShaSha 2 · 0⤊ 0⤋
d)
2007-02-09 07:02:40 · answer #7 · answered by Lt Khai 1 · 0⤊ 0⤋