State Test Practice Data Analysis & Statistics 1 — Questions and Answers
Question 1: What is the mean of the following data set: 4, 8, 6, 10, 12?
- 6
- 8 (Correct answer)
- 10
- 12
Correct answer: 8
The mean is calculated by adding all values (4+8+6+10+12=40) and dividing by the count (40÷5=8).
Question 2: In a bar graph showing student test scores, what does the tallest bar represent?
- The lowest score
- The most frequent score (Correct answer)
- The average score
- The median score
Correct answer: The most frequent score
In a bar graph, the height of each bar represents frequency, so the tallest bar indicates the value that occurs most often.
Question 3: What is the mode of the following data set: 3, 7, 7, 9, 15?
- 3
- 7 (Correct answer)
- 9
- 15
Correct answer: 7
The mode is the value that appears most often; 7 appears twice while all other values appear only once.
Question 4: What does the median represent in a data set?
- The most frequently occurring value
- The average of all values
- The middle value when data is ordered (Correct answer)
- The difference between the highest and lowest values
Correct answer: The middle value when data is ordered
The median is the middle value when all data points are arranged in ascending or descending order.
Question 5: Which type of graph is best used to show changes over time?
- Pie chart
- Line graph (Correct answer)
- Bar graph
- Stem-and-leaf plot
Correct answer: Line graph
Line graphs are designed to display trends and how values change across a time period.
Question 6: What is the range of the following data set: 5, 12, 3, 19, 8?
- 8
- 14
- 16 (Correct answer)
- 19
Correct answer: 16
The range is the difference between the largest and smallest values: 19 − 3 = 16.
Question 7: A pie chart is most useful for displaying which type of information?
- Changes in data over time
- How individual parts contribute to a whole (Correct answer)
- The distribution of individual data points
- The relationship between two separate variables
Correct answer: How individual parts contribute to a whole
Pie charts show proportions, making them ideal for displaying how each part (slice) contributes to the total (the whole pie).
State Test Practice Data Analysis & Statistics 1
What is the mean of the following data set: 4, 8, 6, 10, 12?