Adding to Normal Distributions

Directions: Using the digits 0 to 9, at most two times each, place a digit in each box to make a valid transformation from the original normal distribution.

Hint

Think about how adding a number moves the center without changing the distances between values.

Answer

There are many answers. One is an original mean of 0 and standard deviation of 1, then an addition of 2 resulting in a new mean of 2 and the same standard deviation of 1.

Source: Owen Kaplinsky

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