Hannah has a chicken coop with 6 hens. Let X represent the total number of eggs the hens lay on a randomly chosen day. The distribution for X is given in the table. A 2-column table with 7 rows. Column 1 is labeled number of eggs with entries 0, 1, 2, 3, 4, 5, 6. Column 2 is labeled probability with entries 0.02, 0.03, 0.07, 0.12, 0.30, 0.28, 0.18.

Which is the correct interpretation of the standard deviation?

The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.96 eggs.
The mean number of eggs laid on a randomly selected day would typically vary by 1.96 from the expected number of eggs.
The number of eggs laid on a randomly selected day would typically vary from the expected number of eggs by 1.4 eggs.
The mean number of eggs laid on a randomly selected day would typically vary by 1.4 from the expected number of eggs.