Write the Word or Phrase That Best Completes Each Statement $$\theta = 0.314 \text { seconds } = \frac { 0.314 } { 60 } \text { minutes } = \frac { 0.314 } { 60 \cdot 60 } \text { degrees }$$

question 77

Essay

Write the word or phrase that best completes each statement or answers the question.
-In 1838, the German mathematician and astronomer Friedrich Wilhelm Bessel was the first person to calculate
the distance to a star other than the Sun. He accomplished this by first determining the parallax of the star, 61
Cygni, at 0.314 arc seconds (Parallax is the change in position of the star measured against background stars as
Earth orbits the Sun. See illustration.) If the distance from Earth to the Sun is about 150,000,000 km and $$\theta = 0.314 \text { seconds } = \frac { 0.314 } { 60 } \text { minutes } = \frac { 0.314 } { 60 \cdot 60 } \text { degrees }$$ $$\text { determine the distance } \mathrm { d } \text { from Earth to } 61 \text { Cygni using Bessel's figures. }$$

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Definitions:

Standard Deviation

An examination of the level of disparity or distribution range among values.

Skewed

A description of a distribution that is not symmetrical around its mean, indicating that the data points tend to extend more to one side than the other.

Normally Distributed

Refers to a probability distribution that is symmetrically shaped around the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

Mean

The arithmetic average of a set of numbers, calculated by adding them all together and dividing by the count of these numbers.