ALEKS Statistics and Probability 2 — Questions and Answers
Question 1: What is the range of: 15, 22, 8, 31, 19?
- 23 (Correct answer)
- 19
- 31
- 15
Correct answer: 23
Range = maximum - minimum = 31 - 8 = 23.
Question 2: A standard die is rolled. What is the probability of rolling a number greater than 4?
- 1/3 (Correct answer)
- 2/3
- 1/2
- 1/6
Correct answer: 1/3
Numbers greater than 4 are 5 and 6, so P = 2/6 = 1/3.
Question 3: In a class of 30 students, 12 prefer math. What percentage prefer math?
- 40% (Correct answer)
- 30%
- 36%
- 42%
Correct answer: 40%
12/30 × 100% = 40%.
Question 4: What type of correlation is shown when one variable increases as the other decreases?
- Negative correlation (Correct answer)
- Positive correlation
- No correlation
- Zero correlation
Correct answer: Negative correlation
A negative correlation means one variable increases while the other decreases.
Question 5: Which display best shows the distribution of a large data set?
- Histogram (Correct answer)
- Pie chart
- Bar graph
- Line graph
Correct answer: Histogram
A histogram is designed to display the frequency distribution of continuous numerical data.
Question 6: A card is drawn at random from a standard 52-card deck. What is the probability of drawing a king?
- 1/13 (Correct answer)
- 4/52
- 1/4
- 4/13
Correct answer: 1/13
There are 4 kings in 52 cards: P = 4/52 = 1/13.
What is the range of: 15, 22, 8, 31, 19?