Statistics and Probability Flashcards
6 cards from real ALEKS practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Statistics and Probability flashcards as text
A data set has mean 50 and standard deviation 5. What percentage of data falls within one standard deviation of the mean (using the empirical rule)?
Answer: 68%
The empirical rule states approximately 68% of data falls within one standard deviation of the mean.
What is the probability of two independent events both occurring if P(A) = 0.4 and P(B) = 0.5?
Answer: 0.20
For independent events, P(A and B) = P(A) × P(B) = 0.4 × 0.5 = 0.20.
Which value represents the middle 50% of a data set in a box plot?
Answer: Interquartile range (IQR)
The IQR is the difference between Q3 and Q1, representing the spread of the middle 50% of data.
A survey of 200 people found 60 prefer brand A. What is the relative frequency of brand A preference?
Answer: 0.30
Relative frequency = 60/200 = 0.30.
What is the probability of NOT rolling a 6 on a fair die?
Answer: 5/6
P(not 6) = 1 - P(6) = 1 - 1/6 = 5/6.
In a stem-and-leaf plot, which part represents the ones digit?
Answer: Leaf
In a stem-and-leaf plot, the leaf represents the last digit (ones), while the stem represents leading digits.