15 MCQs on Statistical Sampling Methods for Social Workers

15 MCQs on Statistical Sampling Methods for Social Workers

15 MCQs on Statistical Sampling Methods for Social Workers

Learn the basics of statistical sampling with these 15 multiple-choice questions (MCQs) and explanations. Perfect for social workers who need to understand how to select a representative sample for their research.


  1. 1-What is the purpose of statistical sampling in data analysis? a) To calculate the population standard deviation b) To estimate population parameters using a sample c) To determine the mode of a dataset d) To find the median of a sample

    Answer: b) To estimate population parameters using a sample


  2. 2-Which of the following is NOT a commonly used sampling method for calculating sample means? a) Simple Random Sampling b) Stratified Sampling c) Convenience Sampling d) Cluster Sampling

    Answer: c) Convenience Sampling


  3. 3-The mean of a sample is also known as: a) Mode b) Median c) Average d) Range

    Answer: c) Average


  4. 4-When estimating the population mean using a sample mean, which of the following would result in a more accurate estimate? a) A larger sample size b) A smaller sample size c) A larger population size d) A smaller population size

    Answer: a) A larger sample size


  5. 5-Which of the following sampling methods divides the population into subgroups or strata and then samples from each stratum? a) Simple Random Sampling b) Systematic Sampling c) Stratified Sampling d) Cluster Sampling

    Answer: c) Stratified Sampling


  6. 6-If the sample mean is close to the population mean, it indicates: a) A biased sample b) A random error c) A representative sample d) A systematic error

    Answer: c) A representative sample


  7. 7-What is the formula to calculate the sample mean (x̄) of a set of data points? a) Sum of data points / Number of data points b) Product of data points / Number of data points c) Square root of the sum of squares of data points d) Median of the data points

    Answer: a) Sum of data points / Number of data points


  8. 8-In simple random sampling, every member of the population has: a) The same probability of being in the sample b) No chance of being in the sample c) A probability determined by their age d) A probability determined by their income

    Answer: a) The same probability of being in the sample


  9. 9-Which of the following measures the spread or dispersion of sample means around the population mean? a) Standard Deviation b) Variance c) Confidence Interval d) Margin of Error

    Answer: b) Variance


  10. 10-A confidence interval for the population mean represents: a) A range of values within which the sample mean is guaranteed to fall b) A range of values within which the population mean is likely to fall c) A fixed value equal to the sample mean d) A range of values within which the sample median is likely to fall

    Answer: b) A range of values within which the population mean is likely to fall


  11. 11-Which of the following is a measure of the precision of a sample mean estimate? a) Confidence Level b) Margin of Error c) Variance d) Standard Deviation

    Answer: b) Margin of Error


  12. 12-In cluster sampling, what is a cluster? a) A subgroup within the population b) A randomly selected data point c) The entire population d) A sample mean

    Answer: a) A subgroup within the population


  13. 13-What type of sampling method involves selecting every nth member of the population? a) Stratified Sampling b) Systematic Sampling c) Convenience Sampling d) Snowball Sampling

    Answer: b) Systematic Sampling


  14. 14-If the population size is very large and the sample size is relatively small, which sampling method is often used to simplify the sampling process? a) Simple Random Sampling b) Stratified Sampling c) Convenience Sampling d) Randomized Controlled Sampling

    Answer: a) Simple Random Sampling


  15. 15-When calculating a confidence interval for the population mean, increasing the confidence level (e.g., from 95% to 99%) will typically result in: a) A narrower confidence interval b) A wider confidence interval c) No change in the confidence interval d) A decrease in the sample size

    Answer: b) A wider confidence interval

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