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Stats quiz project
Stats quiz project
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Answers
1
find the probability using the standard normal distribution?: p(z < 1.16)
0.7654
0.9207
0.8413
0.8770
2
What is "probability experiment"?
A mathematical process used to prove causation between two variables.
a process with a well-defined set of possible outcomes
experiment that guarantees an equal probability for all possible outcomes.
A test where the outcome is always predictable based on prior results.
3
What is an "Empirical"
A test for large samples that ignores experimental data.
Based on direct experience or experiment, not abstract principles.
A concept that predicts future outcomes without past data.
Theoretical value calculated without real-world data.
4
What is the probability of drawing a red card from a standard deck of 52 cards?
1/4
3/4
1/3
1/2
5
What is a normal distribution?
A graph with evenly spaced data points.
A bell-shaped curve where most data is near the mean.
A uniform distribution with equal probabilities.
A skewed distribution with an increasing trend.
6
What are "random variables"?
a fixed numerical value that does not change in repeated experiments
is any number chosen arbitrarily without any defined probability.
a sequence of numbers that follows a predictable pattern.
a quantity whose value depends on randomness.
7
What is statistics?
A branch of algebra focused on probability.
The science of collecting, analyzing, and interpreting data
A method for organizing numbers in sequences.
The study of numbers and their relationships.
8
find the probability that a donor selected at random has type B or type AB blood
68%
50%
25%
15%
9
If a data set has a mean of 50 and a standard deviation of 5, what is the Z-score for a value of 60?
4
2
1
3
10
What is discrete probability distribution?
A distribution for experiments with infinite outcomes.
a process where probabilities can exceed 1 for highly likely events
Assigns probabilities to countable outcomes, sum equals 1.
Represents probabilities for continuous outcomes within a range.
11
Find mean, variance and standard deviation of the binomial distribution with the given values of n and p. (n=50,p=0.4)
mean is 20, variance is 12, and standard deviation is approximately 3.46
mean is 20, variance is 15 and the standard deviation is approximately 3.87
mean is 25, variance is 10, and standard deviation is approximately 3.16
mean is 15, variance is 9 and the standard deviation is approximately 3.00
12
What is "midpoint"
the endpoint of a line segment that divides it into two equal parts.
the midpoint is the middle point of a line segment.
The midpoint is any randomly chosen point along a line segment.
The midpoint is the point where two line segments intersect.
13
What is the mean of the dataset? {4, 8, 12, 16}
10
14
8
12
14
What is frequency distribution?
wayto organize data by showin how often each value or group of values occur
a method used to predict future data values based on past occurrences
the process of randomly assigning values to dataset to create balanced dist
technique used to eliminate extreme values from dataset to ensure accuracy
15
If a fair coin is flipped 3 times, what is the probability of getting exactly 2 heads?
3/8
1/2
1/4
5/8
16
What is the median of {3, 7, 9, 10, 12}?
10
12
7
9
17
How do you calculate variance?
Square the mean and divide by the total number of values.
Find mean, sub it from each value, square, sum, & divide by the # of values
Find the median, subtract each value, and take the square root.
Multiply all values together, then find the square root of the sum.
18
What are inflection points?
a point on a smooth curve where the concavity changes
A point on a graph where the function is undefined.
A point where the slope of the curve is always zero.
A point where the curve reaches its maximum or minimum value.
19
What is the meaning of "data"
consist only of numerical value as qualitative information cant be measured
a set of randomly generated numbers used to test statistical models.
collection of facts figures observations or measurements used for analysis
a fixed and unchanging set of values that remain constant across all studie
