What does a z-score of 0 mean?

The value is exactly at the mean

What does the standard normal distribution refer to?

A normal distribution with mean 0 and standard deviation 1

What does a low standard deviation indicate?

Values are centered around the mean

What is the best definition of “population” in statistics?

The complete collection of all elements to be studied

What is an outlier in a data set?

A value that is significantly different from the rest

Which of the following best defines “probability”?

A measure of how likely an event is to occur

What is a probability distribution?

A function that gives probabilities of outcomes

In a binomial distribution, which of the following is true?

Each trial has only two possible outcomes

Which formula is used to calculate a z-score?

(x - mean) / standard deviation

What formula is used for binomial probability?

P(x) = nCx · p^x · (1 – p)^(n – x)

What is the complement of an event?

The opposite of the event occurri

What does the empirical rule state for a normal distribution?

68% of data falls within 1 standard deviation

What does the expected value represent?

The average value in the long run

What defines a discrete random variable?

A variable that takes specific, countable values

What is a frequency distribution?

A summary of how often different values occur

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Questions 20

Answers

1
What does a z-score of 0 mean?
The value is exactly at the mean
The value is below average
The standard deviation is zero
The value is above average
2
What does the standard normal distribution refer to?
normal distribution with any standard deviation
A skewed distribution with no mode
A normal distribution with mean 0 and standard deviation 1
A distribution with a mean of 100
3
What does a low standard deviation indicate?
Values are very spread out
Data is skewed
Values are increasing
Values are centered around the mean
4
What is the best definition of “population” in statistics?
A subset of a sample
A number that describes a sample
The total number of surveys
The complete collection of all elements to be studied
5
What is an outlier in a data set?
A duplicate value
A value that is significantly different from the rest
A number that is always in the middle
A value used for labeling groups
6
What is the correct formula for the Addition Rule (A or B)?
P(A) – P(B)
P(A) × P(B
P(A) / P(B)
P(A) + P(B) – P(A and B)
7
Which of the following best defines “probability”?
A type of graph
A measure of how likely an event is to occur
A statistical error
A guess
8
What is a probability distribution?
A chart of errors
A function that gives probabilities of outcomes
A graph of sample sizes
A measure of correlation
9
In a binomial distribution, which of the following is true?
Each trial has only two possible outcomes
Each trial has a different probability
The number of trials can be infinite
Success and failure are always equally likely
10
Which formula is used to calculate a z-score?
(x - mean) / standard deviation
(mean - x) / mode
(x - mean) × standard deviation
(standard deviation - x) / mean
11
What formula is used for binomial probability?
P(x) = (n + x) / 2
P(x) = mean × standard deviation
P(x) = nCx · p^x · (1 – p)^(n – x)
P(x) = x / n
12
What is the complement of an event?
The probability of success
The same event twice
A subgroup of a population
The opposite of the event occurri
13
What does the empirical rule state for a normal distribution?
95% of data falls within 3 standard deviations
50% of data is below the mean
68% of data falls within 1 standard deviation
All data falls under 2 standard deviations
14
What tool is commonly used to find probabilities for z-scores?
Z-table
Scatterplot
Boxplot
Bar graph
15
What type of graph is most appropriate for categorical data?
Histogram
Bar graph
Line graph
Scatterplot
16
What is the classical probability of rolling a 3 on a fair six-sided die?
3/6
1/3
1/6
1/2
17
What does the expected value represent?
. The most frequent number
The smallest value
The value that will occur next
The average value in the long run
18
What defines a discrete random variable?
A variable that is always continuous
A variable that changes randomly
A variable that takes specific, countable values
A variable with infinite outcomes
19
What is a frequency distribution?
A summary of how often different values occur
A graph showing probabilit
A mean with decimals
A type of error
20
Which of the following is an example of qualitative (categorical) data?
Temperature
Age in years
Height
Blood type (A, B, AB, O)

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