Statistics 1 Review

Representations of Data

100

The formula for finding the height of each bar in a histogram.  Also, state what you label the vertical axis.

What is frequency density = frequency/class width?

200

The formula for interquartile range.

What is IQR = Q₃ - Q₁?

300

The formula for the mean of coded data.

What is _______________?

400

State the two different formulas:

Variance for grouped data

Standard deviation for ungrouped data.

Hint: Use formula sheet.

What is ________?

500

All measures of spread (variation) and all measures of average (central tendency).

What is 

Spread - range, interquartile range, standard deviation, variance

Average - expected value, mean, median, mode?

Probability

100

The sum of the probabilities of all of the outcomes to an event must be ____.  Probability must lie between __ and __ inclusive.

What is 1; 0, 1?

200

When asked to tabulate a probability distribution table, you draw ___.

What is ___?

300

The mean and variance of a discrete random variable from a probability distribution table.

What is 

E(x) = Σ(xp)

Var(x) = Σ(x²p) - {E(X)}²?

400

The formula for permutation with n items where  p, q, r, items are identical.

What is nPn/(p!q!r!)?

500

The formula for conditional probability that you use whenever you see the word "given" or know something to be true already about a conditional probability.

What is P(B|A) = P(A and B)/P(A)

"and"/"given?"

Binomial and Geometric Distributions

100

The two parameters of the binomial distribution

What is n [number of trials] and p [probability of success]?

200

The four qualifications for a binomial model.

What is

two options (success/failure)

fixed numbers of trials

trials are independent (don't affect each other)

constant probability

Be sure to relate it to the context of the problem?

300

 X~B(10, 0.2)

The way you would calculate the probability that X is at least 2.

What is 1 - [P(X = 0) + P(X = 1)]?

400

The formula for the mean and variance of a binomial distribution.

What is

µ = np

σ² = np(1-p)?

500

The formula for the mean of a geometric distribution and the value that is always the mode.

What is µ = 1/p and mode = 1?

Normal Distribution

100

The formula for calculating the Z score.

What is z = (x - µ)/σ?

200

When solving any normal distribution question, what is one thing that you are hesitant to do but would help you solve the problem.

What draw the curve?

300

Given a probability, how can you find its associated z score.

What is use the chart backwards, reverse lookup, Φ^-1(p) = z?

400

The solution to the following problem.

A random variable X is normally distributed with mean 100 and standard deviation 10.  Find the probability that randomly selected value of X lies between 91 and 116.56.

What is IDK let's figure it out?

500

Detail the process of approximating the following binomial distribution as a normal distribution.

X ~ B(100, 0.7)

P(x > 68)

What is

X~N(70, 21)

P(x ≥ 69)

Continuity Correction

P(X ≥ 68.5)

Draw curve

z = (68.5 - 100)/√21

then, find the probability on the chart that is associated with the z score?