Statistics Review Algebra II

Front

What is a combination in statistics?

Back

A combination is a selection of items from a larger set where the order does not matter.

Front

How many ways can Lucas choose 4 hoodies from 11?

Back

330 ways (calculated using the combination formula C(n, k) = n! / (k!(n-k)!), where n=11 and k=4).

Front

What is a permutation in statistics?

Back

A permutation is an arrangement of items from a set where the order does matter.

Front

How many ways can 18 runners be placed in the top 3 positions?

Back

4896 ways (calculated using the permutation formula P(n, k) = n! / (n-k)!, where n=18 and k=3).

Front

What percentage of data falls within 1 standard deviation of the mean in a normal distribution?

Back

Approximately 68%.

Front

What percentage of data falls within 2 standard deviations of the mean in a normal distribution?

Back

Approximately 95%.

Front

What percentage of data falls within 3 standard deviations of the mean in a normal distribution?

Back

Approximately 99.7%.

Front

What is a trendline in statistics?

Back

A trendline is a line that best represents the data on a scatterplot, showing the general direction of the data.

Front

How do you estimate values using a trendline?

Back

You can extend the trendline beyond the known data points to predict future values.

Front

What is the mean in statistics?

Back

The mean is the average of a set of numbers, calculated by dividing the sum of the numbers by the count of numbers.