Is it standard error or standard deviation to add or subtract a value after the average in the paper?

Is it standard error or standard deviation to add or subtract a value after the average in the paper?


Standard deviation
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Is it possible that the standard deviation is greater than the average
SD = 7.3, average = 4.9. Is this possible? Then the explanation is mainly how to explain


This question is a bit off topic
It seems that the standard deviation can't be greater than the mean value, but it can, because there is no theoretical necessary connection between the two things
I tried a group of numbers, four 1s, four - 1s, one 24, and one 25. The average of these ten numbers is 4.9, and the standard deviation is 9.8 (using the StdevP function of Excel). The other group of numbers, six zeros, two 10s, one 14, and one 15, has an average of 4.9, and the standard deviation is 6.17
As long as the gap between the data is increased, the standard deviation will be enlarged, but the average level can remain unchanged
In addition, if it is a non negative number, it can also achieve the situation that the standard deviation is greater than the mean. For example, nine 1, one 100, the mean is 10.9, and the standard deviation is 29.7
This problem may be related to a common phenomenon: the larger the average, the larger the standard deviation. But this experience does not prevent the use of the standard deviation formula to calculate the extreme value
Moreover, values with too much difference will not be collected into the same data set in social phenomena, that is, homogeneous population. If individual differences are too large, they can not constitute homogeneity



How to make the standard deviation of average addition and subtraction 0.169 ± 0.002 in excel


Let your original data be in column a,
Enter in B2:
=AVERAGE(A:A)&"±0.002"
That's fine