iamjakekim wrote:B?
Range/2 > SD.
Since SD is 500, Range must be greater than 500.
Can you please tell more abt this rule i.e. how the relation between SD and range exist ? I am not able to find relation between range and standard deviation.
As per my understanding SD is calculated as below:
1. Let's say there are N numbers.
2. Take the mean of numbers.
3. Subtract every number from the mean.
4. Square every number that we received in step 3.
5. Add all the numbers that we get in step 4.
6. Take the average of the number that we get in step 5.
7. Take the positive square root of the number that we get in step 6.
8. standard deviation is the number that we get in step 7 above.
For e.g. let say's numbers are 1, 2, 3. Thus the above steps become:
1. N = 3.
2. Mean = 2.
3. subtracting we get (1, 0, -1)
4. squaring we get (1, 0, 1)
5. Adding = 1 + 0 + 1 = 2.
6. Average = 2/3
7. square root = (2/3)^(1/2)
8. Standard deviation = (2/3)^(1/2)
But in the above calculation looks like there is no relation between range and standard deviation.
Please tell what I am missing here.
