for a distribution standard deviation=10.If every item is increased by 2 then what will new standard deviation?

To find the new standard deviation when each item in a distribution is increased by a constant value, you can use the following formula:

New standard deviation = Old standard deviation * (Scale factor)

In this case, the scale factor is 1 because each item is increased by the same constant value of 2. So, the new standard deviation will be:

New standard deviation = 10 * 1
= 10

Therefore, the new standard deviation will remain the same, which is 10.