Hannah and Claire each have a chicken coop with 6 hens. Let H represent the total number of eggs the hens lay on a randomly chosen day in Hannah’s coop and let C represent the total number of eggs the hens lay on a randomly chosen day in Claire’s coop. The two distributions are displayed in the table and histograms. A 3-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 P (H) with entries 0.02, 0.03, 0.07, 0.12, 0.30, 0.28, 0.18. Column 3 is labeled P(C) with entries 0.05, 0.09, 0.14, 0.23, 0.21, 0.16, 0.12.

A histogram titled Claire apostrophe s hens has number of eggs on the x-axis, and probability on the y-axis. 0, 0.05; 1, 0.09; 2, 0.14; 3, 0.23; 4, 0.21; 5, 0.16; 6, 0.12.

A histogram titled Hannah apostrophe s hens has number of eggs on the x-axis, and probability on the y-axis. 0, 0.02; 1, 0.03; 2, 0.07; 3, 0.12; 4, 0.30; 5, 0.28; 6, 0.18.

Which statement correctly compares the variability of the distributions?

The standard deviation for Hannah’s eggs is 1.4, and the standard deviation for Claire’s eggs is 1.6.
The standard deviation of the number of eggs laid by Claire’s hens is greater than the standard deviation of the number of eggs laid by Hannah’s hens.
The standard deviation of the number of eggs laid by Claire’s hens is less than the standard deviation of the number of eggs laid by Hannah’s hens.
The standard deviation of the number of eggs laid by Hannah’s hens is about the same as the standard deviation of the number of eggs laid by Hannah’s hens