Question

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. 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.

Explanation:

The standard deviation measures the typical deviation of individual data points (here, the number of eggs laid on a day) from the expected value (mean). It is not about the deviation of the mean itself. So, we look for the option that mentions the number of eggs (individual data - point, not the mean) varying from the expected number.

Answer:

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