24.25: Statistics & Probability Midterm: POST-Test

Front

What does the symbol '!' represent in mathematics?

Back

The symbol '!' represents a factorial, which is the product of all positive integers up to a given number. For example, 4! = 4 * 3 * 2 * 1 = 24.

Front

How do you calculate the probability of an event?

Back

Probability is calculated as the number of favorable outcomes divided by the total number of possible outcomes.

Tags

CCSS.7.SP.C.7A

Front

What is the probability of landing on an odd number given a spinner with equal sections?

Back

If the spinner has equal sections for odd and even numbers, the probability of landing on an odd number is the number of odd sections divided by the total sections.

Tags

CCSS.7.SP.C.7A

Front

What is the formula for calculating expected value in probability?

Back

Expected value (E) is calculated as E = Σ (x * P(x)), where x is the value and P(x) is the probability of that value.

Tags

CCSS.HSS.MD.A.2

Front

What is a z-score in statistics?

Back

A z-score indicates how many standard deviations an element is from the mean. It is calculated as z = (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation.

Front

What does a standard deviation tell you about a data set?

Back

Standard deviation measures the amount of variation or dispersion in a set of values. A low standard deviation means values are close to the mean, while a high standard deviation indicates values are spread out.

Front

What is the difference between permutations and combinations?

Back

Permutations consider the order of items, while combinations do not. For example, arranging 3 books (A, B, C) is a permutation (ABC, ACB, etc.), while choosing 2 books from 3 is a combination (AB, AC, BC).

Front

How do you find the probability of multiple independent events occurring?

Back

To find the probability of multiple independent events, multiply the probabilities of each individual event. For example, P(A and B) = P(A) * P(B).

Tags

CCSS.HSS.CP.A.2

CCSS.HSS.CP.A.4

Front

What is the mean in a data set?

Back

The mean is the average of a set of numbers, calculated by adding all the values together and dividing by the number of values.

Tags

CCSS.6.SP.B.5C

Front

What is the significance of the expected value in probability?

Back

The expected value provides a measure of the center of a probability distribution, indicating the average outcome if an experiment is repeated many times.

Tags

CCSS.6.SP.A.3