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What is the definition of the mean in a data set?
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The mean is the average of a data set.
Explain how to calculate the mean from a data set of 10 numbers that sum to 127.
Mean = 127 / 10 = 12.7 (or 13 when rounded up).
How do you find the median if a data set has an even number of values?
Arrange the numbers in order and the median is the average of the two middle numbers.
What tip is crucial when dealing with the probability of multiple independent events?
Use 'and' to indicate multiplying outcomes and 'or' for adding outcomes.
If a data set has the values [3, 3, 4, 4, 4, 5], what is the mode?
The mode is 4, as it appears the most frequently.
Define what characterizes a symmetrical distribution.
A symmetrical distribution has the mean equal to the median, and the data is mirrored on both sides.
What would be the median of this data set [2, 3, 14, 20]?
Since the number of values is even, the median is (3 + 14) / 2 = 8.5.
What is the probability of rolling a 3 on a fair six-sided die?
1/6 or approximately 16.7%.
What does a probability of 0 represent on the probability line?
It represents an impossible outcome.
What is a bimodal distribution?
A bimodal distribution has two peaks, indicating two most frequent values.
Calculate the combined probability of drawing two red marbles in succession from a bag with 10 marbles, 5 of which are red, without replacement.
First draw probability: 5/10. Second draw probability: 4/9. Combined probability: (5/10) * (4/9) = 2/9.
How do you compute the range of a data set?
The range is calculated by subtracting the lowest number from the highest number in the data set.
Describe the mode in a data set.
The mode is the most frequent number in a data set.
Explain the basic probability equation.
Probability = Total number of favorable outcomes / Total number of possible outcomes.
Describe what a uniform distribution looks like.
A uniform distribution has equal frequency across all values and no peaks.
Differentiate between a left-skewed and a right-skewed distribution.
In a left-skewed distribution, the mean is less than the median, with most data on the right. In a right-skewed distribution, the mean is greater than the median, with most data on the left.
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