Data analysis and statistics MCQs

  1. Which of the following is a measure of central tendency?
    • A) Standard deviation
    • B) Mean
    • C) Variance
    • D) Range
    • Answer: B) Mean
  2. What does a p-value less than 0.05 typically indicate in hypothesis testing?
    • A) Strong evidence against the null hypothesis
    • B) Strong evidence for the null hypothesis
    • C) No evidence against the null hypothesis
    • D) The test is inconclusive
    • Answer: A) Strong evidence against the null hypothesis
  3. Which type of data is represented by categories that do not have a natural order?
    • A) Nominal
    • B) Ordinal
    • C) Interval
    • D) Ratio
    • Answer: A) Nominal
  4. Which of the following best describes the standard deviation?
    • A) A measure of central tendency
    • B) A measure of dispersion around the mean
    • C) A measure of the range of data
    • D) A measure of the skewness of data
    • Answer: B) A measure of dispersion around the mean
  5. The correlation coefficient ranges between:
    • A) 0 and 1
    • B) -1 and 1
    • C) -1 and 0
    • D) 0 and 100
    • Answer: B) -1 and 1
  6. Which of the following statistical tests is used to compare means between two groups?
    • A) Chi-square test
    • B) ANOVA
    • C) t-test
    • D) Regression analysis
    • Answer: C) t-test
  7. In a normal distribution, what percentage of data falls within one standard deviation of the mean?
    • A) 50%
    • B) 68%
    • C) 95%
    • D) 99.7%
    • Answer: B) 68%
  8. Which graphical representation is used to show the distribution of a dataset?
    • A) Bar chart
    • B) Line graph
    • C) Histogram
    • D) Pie chart
    • Answer: C) Histogram
  9. What is the primary purpose of inferential statistics?
    • A) To describe data
    • B) To summarize data
    • C) To make predictions or inferences about a population based on a sample
    • D) To collect data
    • Answer: C) To make predictions or inferences about a population based on a sample
  10. Which of the following is an example of a continuous variable?
    • A) Number of children
    • B) Type of car
    • C) Height
    • D) Marital status
    • Answer: C) Height
  11. A Type I error occurs when:
    • A) The null hypothesis is incorrectly accepted
    • B) The null hypothesis is incorrectly rejected
    • C) The sample size is too small
    • D) The p-value is too high
    • Answer: B) The null hypothesis is incorrectly rejected
  12. Which statistical test is used to examine the relationship between two categorical variables?
    • A) t-test
    • B) Pearson correlation
    • C) Chi-square test
    • D) ANOVA
    • Answer: C) Chi-square test
  13. The median of a dataset is:
    • A) The most frequently occurring value
    • B) The average value
    • C) The middle value when the data is ordered
    • D) The sum of all values divided by the number of values
    • Answer: C) The middle value when the data is ordered
  14. A scatter plot is useful for:
    • A) Showing the distribution of a single variable
    • B) Comparing the means of multiple groups
    • C) Displaying the relationship between two quantitative variables
    • D) Summarizing categorical data
    • Answer: C) Displaying the relationship between two quantitative variables
  15. Regression analysis is primarily used to:
    • A) Describe the distribution of a single variable
    • B) Compare means between groups
    • C) Predict the value of a dependent variable based on one or more independent variables
    • D) Test for independence between variables
    • Answer: C) Predict the value of a dependent variable based on one or more independent variables
  16. In statistics, an outlier is:
    • A) A data point that is very close to the mean
    • B) A data point that falls outside the overall pattern of the distribution
    • C) The value that appears most frequently
    • D) The middle value in an ordered dataset
    • Answer: B) A data point that falls outside the overall pattern of the distribution
  17. Which measure of central tendency is most affected by extreme values?
    • A) Mean
    • B) Median
    • C) Mode
    • D) Range
    • Answer: A) Mean
  18. The null hypothesis in a statistical test is:
    • A) The hypothesis that there is an effect or difference
    • B) The hypothesis that there is no effect or difference
    • C) The alternative hypothesis
    • D) Always accepted
    • Answer: B) The hypothesis that there is no effect or difference
  19. Which of the following is a non-parametric test?
    • A) ANOVA
    • B) Pearson correlation
    • C) Wilcoxon rank-sum test
    • D) Linear regression
    • Answer: C) Wilcoxon rank-sum test
  20. In a positively skewed distribution:
    • A) The mean is less than the median
    • B) The mean is greater than the median
    • C) The mean is equal to the median
    • D) The mode is greater than the mean
    • Answer: B) The mean is greater than the median

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