West B Test West B Math: Data Analysis and Statistics 2 — Questions and Answers
Question 1: A data set has values: 4, 8, 6, 5, 3, 9, 7. What is the median?
- 5
- 6 (Correct answer)
- 7
- 8
Correct answer: 6
Ordered: 3, 4, 5, 6, 7, 8, 9 — the middle (4th) value is 6.
Question 2: A line graph shows a company's monthly sales rising steadily from January to June. What does this trend indicate?
- Sales decreased over the period.
- Sales remained constant each month.
- Sales increased consistently over the period. (Correct answer)
- Sales data was recorded incorrectly.
Correct answer: Sales increased consistently over the period.
A steadily rising line on a line graph indicates a consistent increase in the measured value over time.
Question 3: If a student scored 80 on three tests and 92 on one test, what is the mean score across all four tests?
- 83 (Correct answer)
- 84
- 86
- 82
Correct answer: 83
Mean = (80+80+80+92) ÷ 4 = 332 ÷ 4 = 83.
Question 4: Which type of graph is best suited for showing how a quantity changes over time?
- Pie chart
- Bar graph
- Line graph (Correct answer)
- Scatter plot
Correct answer: Line graph
Line graphs are specifically designed to display changes in a value over a continuous time period.
Question 5: A data set has an outlier that is much higher than the rest of the values. How does this outlier most likely affect the mean?
- It lowers the mean significantly.
- It has no effect on the mean.
- It raises the mean above most values. (Correct answer)
- It changes the median but not the mean.
Correct answer: It raises the mean above most values.
A very high outlier pulls the mean upward because the mean includes every value in its calculation.
Question 6: In a frequency table, the frequency column shows:
- The highest value in each category
- How many times each value or category occurs (Correct answer)
- The percentage of each category
- The cumulative total of all values
Correct answer: How many times each value or category occurs
Frequency in a table represents the count — the number of times each specific value or category appears in the data.
West B Test West B Math: Data Analysis and Statistics 2
A data set has values: 4, 8, 6, 5, 3, 9, 7.
What is the median?