I have two values (mean MMSE scores recorded at pre-test and post-test for individuals in an intervention group) with differing standard deviations. I have calculated the absolute mean difference by subtracting the post-test value from the pre-test value. I am now attempting to calculate the standard deviation for the mean difference value. I am unsure of how to do this and would appreciate some clarification. For context, these are continuous outcome measures. I have attached the calculation I have used so far, but I am unsure if this is the correct way of calculating the standard difference.

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