Anand Mehta said the answer is No. And here is why.
To find the SD, you subtract each term from the mean (and there will be some negative numbers) BUT then you have to square these amounts and that will get rid of any negatives. Then you find the sum and divide by the number of terms. The final step is to find the square root. The SD is the positive square root. So there is no way that you can get a negative number for the SD.
The standard deviation would generally decrease because the large the sample size is, the more we know about the population, so we can be more exact in our measurements.
Yes, a standard deviation can be less than one.
No. Inventory and engineering work need negative numbers to measure. Also, how can we measure the temperature if it's freezing cold without negative numbers? Integers are needed for calculations and measurements in this world.
A gram is one possible answer.
Absolutely. In fact I would commonly expect it to be. If, for example, the sample mean for the length of a bolt was 5.5 cm, you would certainly hope the standard deviation was a lot less than 5.5 cm. or it would imply bolts with a negative length (not quite sure how you'd do that without breaching some alternate dimension - no pun intended.)
no it is not possible because you have to take the square of error that is (x-X)2. the square of any number is always positive----------Improved answer:It is not possible to have a negative standard deviation because:SD (standard deviation) is equal to the square of V (variance).
The standard deviation would generally decrease because the large the sample size is, the more we know about the population, so we can be more exact in our measurements.
Yes, a standard deviation can be less than one.
Yes.
No. Inventory and engineering work need negative numbers to measure. Also, how can we measure the temperature if it's freezing cold without negative numbers? Integers are needed for calculations and measurements in this world.
-5
Without more information, it isn't possible to determine the standard deviation from the mean alone.
as often as possible
it is possible to distribute standard deviation and mean but you dont have to understand how the mouse runs up the clock hicorky dickory dock.
If all four numbers are the same, there is no standard deviation. The mean will be equal to all 4 numbers, resulting in a 0 standard deviation. Ex) 5,5,5,5
Yes.
When you don't have the population standard deviation, but do have the sample standard deviation. The Z score will be better to do as long as it is possible to do it.