AMDM Unit 1 Retest

Front

What is a weighted average and how is it calculated?

Back

A weighted average is an average that takes into account the relative importance or weight of each value. It is calculated by multiplying each value by its weight, summing these products, and then dividing by the total of the weights.

Front

How do you calculate the size of a crowd using area and density?

Back

To calculate the size of a crowd, multiply the area occupied by the crowd by the density of people per unit area. For example, if the area is 5280 ft long and 7 ft deep, the area is 5280 ft * 7 ft = 36960 sq ft. If the density is 2.5 sq ft per person, the number of people is 36960 sq ft / 2.5 sq ft/person.

Front

What is the fundamental counting principle?

Back

The fundamental counting principle states that if one event can occur in 'm' ways and a second independent event can occur in 'n' ways, then the two events can occur in m * n ways.

Front

How do you calculate the number of different possible codes for a lock using digits?

Back

To calculate the number of different possible codes using digits without repetition, use the formula: n! / (n - r)!, where n is the total number of digits available and r is the number of digits in the code. For example, for a 4-digit code using digits 0-9, it is 10 x 9 x 8 x 7.

Front

What is the formula for calculating a baseball player's slugging average?

Back

A baseball player's slugging average is calculated by taking the weighted sum of the player's hits (singles, doubles, triples, home runs) and dividing it by the total number of at-bats. The weights are: singles = 1, doubles = 2, triples = 3, home runs = 4.

Front

What is the significance of using weights in averages?

Back

Using weights in averages allows for a more accurate representation of data when some values are more significant than others. It ensures that the average reflects the importance of each value.

Front

How do you convert a length and depth into an area?

Back

To convert a length and depth into an area, multiply the length by the depth. For example, if a parade route is 1 mile long and 10 feet deep, convert the mile to feet (5280 ft) and calculate the area as 5280 ft * 10 ft.

Front

What is the difference between a simple average and a weighted average?

Back

A simple average is calculated by adding all values and dividing by the number of values, treating each value equally. A weighted average considers the importance of each value by assigning different weights.

Front

How do you determine the total number of at-bats in baseball statistics?

Back

The total number of at-bats in baseball statistics is determined by counting all the times a player has batted, excluding walks, hit by pitches, and sacrifices.

Front

What is the area occupied by a crowd if the crowd is 10 feet deep and 1 mile long?

Back

The area occupied by the crowd is calculated by converting the length to feet (1 mile = 5280 feet) and multiplying by the depth: 5280 ft * 10 ft = 52800 sq ft.