NSAA Mathematics - Statistics and Probability Flashcards
6 cards from real NSAA practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 NSAA Mathematics - Statistics and Probability flashcards as text
The mode of the data set {4, 7, 7, 3, 4, 7, 9} is:
Answer: 7
7 appears three times, more than any other value, so the mode is 7.
A box has 3 defective and 7 non-defective items. Two items are drawn without replacement. What is the probability both are defective?
Answer: 1/15
P(both defective) = (3/10) × (2/9) = 6/90 = 1/15.
Which of the following is the correct definition of standard deviation?
Answer: The square root of the variance
Standard deviation is the square root of the variance, measuring spread around the mean.
If a data set has a positive skew, which relationship is typically true?
Answer: Mode < Median < Mean
In a positively skewed distribution, the tail extends to the right, pulling the mean above the median, which is above the mode.
What is the expected value of a fair six-sided die roll?
Answer: 3.5
E(X) = (1+2+3+4+5+6)/6 = 21/6 = 3.5.
A scatter plot shows a correlation coefficient of r = -0.9. This indicates:
Answer: Strong negative correlation
r = -0.9 indicates a strong negative linear correlation between the two variables.
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