What is the 50% error of the mean for the angles observed below?

| Trial | Angle |
|-------|---------------|
| A | 42º 52′ 09″ |
| B | 42º 53′ 11″ |
| C | 42º 52′ 28″ |
| D | 42º 52′ 31″ |
| E | 42º 52′ 22″ |
| F | 42º 53′ 05″ |

Express your answer to three significant figures.

\[ E_{50} = \pm \]

$ \text{nothing} \, \text{sec} $

Calculate the standard deviation of the mean by finding the difference between each angle and the mean, squaring the differences, summing them up, dividing by the number of angles minus one, and finally taking the square root.

Explanation:

Standard deviation is a measure of the amount of variation or dispersion of a set of values. In this case, we are calculating the standard deviation of the mean for a set of angles observed. To calculate the standard deviation, you can follow these steps:

Calculate the mean of the angles.
Find the difference between each angle and the mean, square each difference.
Sum up all the squared differences, then divide by the number of angles minus one, and finally take the square root to get the standard deviation.