Rise Placement Test Statistics and Data Analysis 1 — Questions and Answers
Question 1: A student scored 72, 85, 90, 68, and 95 on five tests. What is the mean score?
- 82 (Correct answer)
- 85
- 80
- 78
Correct answer: 82
The mean is the sum divided by the count: (72+85+90+68+95)/5 = 410/5 = 82.
Question 2: What is the median of the data set: 3, 7, 9, 2, 5, 8, 1?
- 5 (Correct answer)
- 7
- 9
- 3
Correct answer: 5
Arranging in order: 1, 2, 3, 5, 7, 8, 9 — the middle (4th) value is 5.
Question 3: In the data set {4, 7, 4, 9, 2, 7, 4, 1}, which value is the mode?
- 4 (Correct answer)
- 7
- 2
- 9
Correct answer: 4
The mode is the value that appears most frequently; 4 appears three times, more than any other value.
Question 4: What is the range of the following data set: 15, 3, 27, 11, 8?
- 24 (Correct answer)
- 15
- 19
- 27
Correct answer: 24
Range = maximum − minimum = 27 − 3 = 24.
Question 5: A bar chart shows that 40 students prefer math, 30 prefer English, and 20 prefer science. What percentage of students prefer English?
- 33.3% (Correct answer)
- 30%
- 25%
- 40%
Correct answer: 33.3%
Total students = 90; English = 30; 30/90 × 100 = 33.3%.
Question 6: A bag contains 5 red marbles and 3 blue marbles. What is the probability of randomly selecting a red marble?
- 5/8 (Correct answer)
- 3/8
- 5/3
- 1/2
Correct answer: 5/8
Probability = favorable outcomes / total outcomes = 5 / (5+3) = 5/8.
Question 7: The following table shows monthly sales: Jan=200, Feb=250, Mar=300. Which month had the greatest increase over the previous month?
- March, with an increase of 50
- February, with an increase of 50 (Correct answer)
- March, with an increase of 100
- February, with an increase of 100
Correct answer: February, with an increase of 50
Feb increased by 50 (250−200) and Mar also increased by 50 (300−250), but February is the first month to show the jump from 200.
Rise Placement Test Statistics and Data Analysis 1
A student scored 72, 85, 90, 68, and 95 on five tests.
What is the mean score?