Which of the following statements regarding the standard...

Which of the following statements regarding the standard deviation is FALSE? Select one: a. The numbers 8, 9, 10 have a smaller standard deviation than 1, 3, 5. b. The numbers 1, 2, 3 have a smaller standard deviation than 2, 4, 6 c. The numbers 1, 2, 4, 5 have a smaller standard deviation than 1, 1, 5, 5 d. The numbers 7, 7, 7 have a standard deviation of 0. e. The numbers 3, 5, 7 have a smaller standard deviation than 103, 105, 107.

Transcript

00:01 Hi, i'm david and i'm here to help you to answer your question.

00:04 So let me bring up your question here.

00:10 And the question asks us, which are the following statement regarding to the standard division is false.

00:19 So to talk about the standard division, it will be in short, it will be the total distance square to the mean.

00:36 So it will be like this.

00:38 So let me consider the part a, where we consider the two set.

00:44 The first set is 8, 9, 10, and the second set is 1, 3, 5.

00:52 Now in the first set, we can see that the 9 will be the mean, and then the difference between the 8 and 9, it will be the, i will say, the magnitude will be 1.

01:04 And the difference between 9 and 10 also 1.

01:09 So if we do the square each distance there, and then we add them up, which will get equal to the 2.

01:19 And with the 2, and then we're going to divide by the total number of the total number of the element here will be 3, minus 1.

01:33 That will be the formula, and then we do the square root.

01:36 Therefore we have here equal to 1.

01:38 Whereas in the second case, we see that the mean will be the number 3 here, which is the middle one.

01:47 The distance from 1 to 3, it will be 2.

01:49 The distance from 3 to 5 also 2 as well.

01:52 So if we squared up and then we add them up, we should get equal to the 8.

01:57 And the 8 here when we do the square root and divided by 3 minus 1, we will see this one will be bigger than one.

02:08 Therefore, the standard division of the first set is smaller than the standard division on the second set.

02:18 So i will be correct.

02:25 And then in the second p, we will do the same technique.

02:29 And then now we have the two sets now.

02:32 One, two, three.

02:34 And the second set is two, four, six.

02:37 So if we just consider the distance, the distance here we see this one will be the mean in the first set.

02:44 The distance from here to here will be one.

02:46 The distance from here to here will be one as well.

02:49 And then we get equal to the two.

02:51 Whereas in the second set, we have the mean will be in the middle one.

02:55 The distance here will be two...

Question

Please give Ace some feedback