Quantitative Techniques
DESCRIPTIVE STATISTICS & PROBABILITY THEORY
1. Consider the following data: 1, 7, 3, 3, 6, 4 the mean and median for this data are a. 4 and 3 b. 4.8 and 3 c. 4.8 and 3 1/2 d. 4 and 3 1/2 e. 4 and 3 1/3
2. A distribution of 6 scores has a median of 21. If the highest score increases 3 points, the median will become __. a. 21 b. 21.5 c. 24 d. Cannot be determined without additional information. e. none of these
3. If you are told a population has a mean of 25 and a variance of 0, what must you conclude? a. Someone has made a mistake. b. There is only one element in the population. c. There are no elements in the population. d. All the elements in the population are 25. e. None of the above.
4. Which of the following measures of central tendency tends to a. be most influenced by an extreme score? b. median c. mode d. mean
5. The mean is a measure of: a. variability. b. position. c. skewness. d. central tendency. e. symmetry.
6. Suppose the manager of a plant is concerned with the total number of man-hours lost due to accidents for the past 12 months. The company statistician has reported the mean number of man-hours lost per month but did not keep a record of the total sum. Should the manager order the study repeated to obtain the desired information? Explain your answer clearly. Answer: No--the estimate that he would get using the mean number per month would most likely be accurate enough, without having to go to the extra expense of another study. Presumably the mean number of hours lost per month is equal to the total number of hours lost divided by 12, so it 's not difficult to calculate the total.
7. The standard deviation of a group of scores is 10. If 5 were subtracted from each
1. Consider the following data: 1, 7, 3, 3, 6, 4 the mean and median for this data are a. 4 and 3 b. 4.8 and 3 c. 4.8 and 3 1/2 d. 4 and 3 1/2 e. 4 and 3 1/3
2. A distribution of 6 scores has a median of 21. If the highest score increases 3 points, the median will become __. a. 21 b. 21.5 c. 24 d. Cannot be determined without additional information. e. none of these
3. If you are told a population has a mean of 25 and a variance of 0, what must you conclude? a. Someone has made a mistake. b. There is only one element in the population. c. There are no elements in the population. d. All the elements in the population are 25. e. None of the above.
4. Which of the following measures of central tendency tends to a. be most influenced by an extreme score? b. median c. mode d. mean
5. The mean is a measure of: a. variability. b. position. c. skewness. d. central tendency. e. symmetry.
6. Suppose the manager of a plant is concerned with the total number of man-hours lost due to accidents for the past 12 months. The company statistician has reported the mean number of man-hours lost per month but did not keep a record of the total sum. Should the manager order the study repeated to obtain the desired information? Explain your answer clearly. Answer: No--the estimate that he would get using the mean number per month would most likely be accurate enough, without having to go to the extra expense of another study. Presumably the mean number of hours lost per month is equal to the total number of hours lost divided by 12, so it 's not difficult to calculate the total.
7. The standard deviation of a group of scores is 10. If 5 were subtracted from each