Chapter 6 Review AP Statistics

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What is the mean of a random variable?

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The mean of a random variable is the average value it takes, calculated as the sum of all possible values multiplied by their probabilities.

Tags

CCSS.HSS.MD.A.2

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How do you calculate the mean of the total calories in a breakfast consisting of cereal and milk?

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To find the mean of the total calories (T), add the means of the individual components: Mean of T = Mean of cereal + Mean of milk = 110 + 140 = 250.

Tags

CCSS.6.SP.B.5C

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What is the standard deviation of a random variable?

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The standard deviation measures the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean.

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How do you calculate the standard deviation of the total calories in a breakfast consisting of cereal and milk?

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What is the formula for calculating the mean of total revenue from a vending machine?

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Mean revenue (Y) = Price per bottle * Mean number of bottles sold. For example, if the price is $1.50 and the mean number of bottles is 50, then Mean Y = $1.50 * 50 = $75.

Front

What is the formula for calculating the standard deviation of total revenue from a vending machine?

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Standard deviation of revenue (Y) = Price per bottle * Standard deviation of number of bottles sold. If the price is $1.50 and the standard deviation is 15, then SD Y = $1.50 * 15 = $22.50.

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How do you calculate the probability of exceeding a certain number of cases in a binomial distribution?

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Use the binomial probability formula or normal approximation to find the probability of more than a certain number of successes. For example, if n = 17 and p = 0.4, calculate the probability of more than 10 cases.

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What is a binomial distribution?

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A binomial distribution is a probability distribution that summarizes the likelihood that a value will take one of two independent states and is defined by the number of trials and the probability of success.

Tags

CCSS.HSS.MD.A.3

CCSS.HSS.MD.A.4

Front

What is the Central Limit Theorem?

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The Central Limit Theorem states that the distribution of the sample mean will approach a normal distribution as the sample size increases, regardless of the original distribution of the population.