Exploring Adding and Subtracting Rational Expressions

The video tutorial covers data distribution, focusing on normal distribution. It explains the properties of a normal distribution, such as the bell-shaped curve, mean, and standard deviation. The tutorial applies these concepts to real-world examples, including the weights of football players and gasoline prices, demonstrating how to calculate probabilities and percentages within a normal distribution.

Which of the following is NOT a type of data distribution?

• Normal distribution

• Negatively skewed

• Random distribution

• Positively skewed

What shape does a normal distribution curve have?

• Bell-shaped

• U-shaped

• Flat

• V-shaped

In a normal distribution, what percentage of data falls within one standard deviation of the mean?

• 50%

• 99.8%

• 95.4%

• 68.2%

Tags

CCSS.HSS.ID.A.4

If the mean weight of football players is 178 pounds with a standard deviation of 8 pounds, what is the weight at two standard deviations above the mean?

• 186 pounds

• 170 pounds

• 194 pounds

• 202 pounds

What is the probability that a football player weighs at most 170 pounds?

• 68.2%

• 15.9%

• 31.4%

• 47.7%

How many football players weigh between 170 and 186 pounds if there are 50 players in total?

• 40 players

• 20 players

• 34 players

• 25 players

If the mean price of gasoline is $2.05 with a standard deviation of $0.04, what is the price at one standard deviation below the mean?

• $2.09

• $1.97

• $2.13

• $2.01

What percentage of gas stations sell gasoline for less than $1.97?

• 68.2%

• 47.7%

• 15.9%

• 2.3%

What is the probability that a gas station sells gasoline for less than $1.97 or more than $2.05?

• 50%

• 52.3%

• 95.4%

• 68.2%

Tags

CCSS.HSS.ID.A.4

How many gas stations sell gasoline for no more than $2.01 if there are 75 stations in total?

• 15 stations

• 12 stations

• 10 stations

• 20 stations