Midterm STAT AP 2024

Front

What is the median in a data set?

Back

The median is the middle value in a list of numbers sorted in ascending order. If there is an even number of observations, the median is the average of the two middle numbers.

Front

How do you find the median selling price of a list of house prices?

Back

To find the median selling price, first arrange the prices in ascending order. If there is an odd number of prices, the median is the middle price. If there is an even number, it is the average of the two middle prices.

Front

What is a sampling distribution?

Back

A sampling distribution is the probability distribution of a statistic (like the sample mean or sample proportion) obtained from a large number of samples drawn from a specific population.

Front

What does it mean if a sampling distribution is approximately normal?

Back

It means that the distribution of the sample statistic (like the sample mean or proportion) follows a normal distribution, which is bell-shaped, as the sample size increases, according to the Central Limit Theorem.

Front

What is the formula for the standard deviation of a sample proportion?

Back

The standard deviation of a sample proportion (p̂) is calculated using the formula: sqrt[(p(1-p)/n)], where p is the population proportion and n is the sample size.

Front

What is a stratified random sample?

Back

A stratified random sample is a sampling method where the population is divided into subgroups (strata) that share similar characteristics, and random samples are taken from each stratum.

Front

What is the significance of the mean in a sampling distribution?

Back

The mean of a sampling distribution is the expected value of the sample statistic, which is equal to the population parameter from which the samples are drawn.

Front

What does it mean for a distribution to be skewed?

Back

A distribution is skewed if it is not symmetrical, meaning that one tail is longer or fatter than the other. Left skewed has a longer left tail, while right skewed has a longer right tail.

Front

How do you interpret a sample proportion?

Back

A sample proportion (p̂) is the ratio of the number of successes in a sample to the total number of observations in that sample, providing an estimate of the population proportion.

Front

What is the Central Limit Theorem?

Back

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