AKT AKT Data Interpretation and Analysis 1 — Questions and Answers
Question 1: Which type of data is best represented by a histogram?
- Nominal categorical data
- Continuous numerical data (Correct answer)
- Binary yes/no data
- Ranked ordinal data
Correct answer: Continuous numerical data
Histograms display the frequency distribution of continuous numerical data by grouping values into intervals called bins.
Question 2: In a dataset, the value that appears most frequently is called the:
- Mean
- Median
- Mode (Correct answer)
- Range
Correct answer: Mode
The mode is the value that occurs most often in a dataset and is the only measure of central tendency applicable to nominal data.
Question 3: A correlation coefficient of -0.85 between two variables indicates:
- No relationship
- A weak positive relationship
- A strong negative relationship (Correct answer)
- A perfect positive relationship
Correct answer: A strong negative relationship
A correlation coefficient near -1 indicates a strong negative relationship, meaning as one variable increases, the other decreases.
Question 4: Which measure of spread is most affected by extreme outliers in a dataset?
- Interquartile range
- Standard deviation
- Range (Correct answer)
- Variance
Correct answer: Range
The range is calculated solely from the maximum and minimum values, making it the most sensitive measure to outliers.
Question 5: When analyzing a pie chart, the angle of each slice is proportional to:
- The absolute value of that category
- The percentage each category represents of the whole (Correct answer)
- The rank of that category
- The difference from the mean
Correct answer: The percentage each category represents of the whole
Each slice in a pie chart represents a proportion of the total (360°), so its angle equals the category's percentage multiplied by 360.
Question 6: A p-value of 0.03 in a statistical test typically means:
- There is a 3% chance the hypothesis is true
- There is a 97% chance the result occurred by chance
- The result is statistically significant at the 0.05 level (Correct answer)
- The effect size is large
Correct answer: The result is statistically significant at the 0.05 level
A p-value of 0.03 is below the common 0.05 threshold, indicating the result is statistically significant and unlikely due to chance alone.
AKT AKT Data Interpretation and Analysis 1
Which type of data is best represented by a histogram?