PSSA PSSA Data Analysis and Statistics 1 — Questions and Answers
Question 1: A class recorded the following test scores: 72, 85, 90, 68, 85, 91, 85. What is the mode of this data set?
- 72
- 85 (Correct answer)
- 90
- 91
Correct answer: 85
The mode is 85 because it appears more times (3 times) than any other value in the data set.
Question 2: A bar graph shows that 12 students prefer soccer, 8 prefer basketball, and 5 prefer baseball. How many students were surveyed in total?
- 20
- 17
- 25 (Correct answer)
- 30
Correct answer: 25
Adding all values together: 12 + 8 + 5 = 25 students total.
Question 3: The temperatures for a week were: 55, 60, 58, 62, 65, 63, 61. What is the median temperature?
- 60
- 61
- 62 (Correct answer)
- 63
Correct answer: 62
When arranged in order (55, 58, 60, 61, 62, 63, 65), the middle value (4th of 7) is 62.
Question 4: A spinner has 8 equal sections: 3 red, 2 blue, 2 green, and 1 yellow. What is the probability of spinning blue?
- 1/8
- 1/4 (Correct answer)
- 3/8
- 1/2
Correct answer: 1/4
There are 2 blue sections out of 8 total, so the probability is 2/8 = 1/4.
Question 5: Which type of graph is BEST for showing how a quantity changes over time?
- Bar graph
- Pie chart
- Line graph (Correct answer)
- Pictograph
Correct answer: Line graph
A line graph is best for showing change over time because it clearly displays trends and patterns across a continuous period.
Question 6: A set of data has a mean of 15. The values are 12, 18, 14, and x. What is x?
- 14
- 15
- 16 (Correct answer)
- 17
Correct answer: 16
The mean = (12 + 18 + 14 + x) / 4 = 15, so 44 + x = 60, meaning x = 16.
Question 7: A stem-and-leaf plot shows stems of 4, 5, 6, and 7 with leaves. What does the stem 5 | 3 7 represent?
- The numbers 5 and 37
- The numbers 53 and 57 (Correct answer)
- The numbers 35 and 75
- The numbers 5, 3, and 7
Correct answer: The numbers 53 and 57
In a stem-and-leaf plot, stem 5 with leaves 3 and 7 represents the values 53 and 57.
PSSA PSSA Data Analysis and Statistics 1
A class recorded the following test scores: 72, 85, 90, 68, 85, 91, 85.
What is the mode of this data set?