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STAT EXAM 1 - CHAP 3 Theory Q
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Terms in this set (30)
A population of N = 6 scores has ΣX = 30. What is the population mean?
5
A population with a mean of μ = 6 has ΣX = 42. How many scores are in the population?
N=7
A sample of n = 5 scores has a mean of M = 12. What is ΣX for this sample?
5(12)=60
After every score in a sample is multiplied by 3, the mean is calculated and found to be M = 21. What was the mean for the original scores?
7
A population has a mean of µ = 30. If 3 points are added to each score, what is the mean for the new distribution?
33
A sample of n = 8 scores has a mean of M = 10. After one score is removed from the sample, the mean for the remaining score is found to be M = 11. What was the score that was removed?
X=3
A sample of n = 6 scores has a mean of M = 5. One person with a score of X = 12 is added to the distribution. What is the mean for the new set of scores?
M=6
In a sample of n = 6 scores, the smallest score is X = 3, the largest score is X = 10, and the mean is M = 6. If the largest score is changed from X = 10 to X = 22, then what is the value of the new mean?
The mean is M = 8
A distribution of scores has a mean of μ = 50. One new score is added to the distribution and the new mean is found to be μ = 48. From this result you can conclude that the new score was _____.
less than 50
Which of the following actions will always change the value of the mean?
changing the value of one score
A set of N = 10 scores has a mean of µ = 50. If 20 points are added to one of the scores, what is the new value for the population mean?
52
A sample has a mean of M = 40. If 10 points are added to one of the scores, what is the new value for the sample mean?
cannot be determined from the information given
A sample has a mean of M = 86. If one new person is added to the sample, what effect will it have on the sample mean?
cannot be determined from the information given
A sample of n = 5 scores has a mean of M = 8. One new score is added to the sample and the new mean is calculated to be M = 9. What is the value of new score?
X=14
A population of N = 10 scores has a mean of μ = 6. After one score is removed, the mean is found to be M = 5. What is the value of the score that was removed?
X=15
One sample has n = 4 scores and M = 10. A second sample has n = 6 scores and M = 5. If the two samples are combined, then what is the mean for the combined sample?
70/10 = 7
A sample of n = 4 scores has a mean of M = 8. If one new score with a value of X = 3 is added to the sample, what will be the value for the new mean?
M=7
A population of N = 7 scores has a mean of μ = 10. If one score with a value of X = 4 is removed from the population, what is the value for the new mean?
66/6 = 11
In a population of N = 6, five of the individuals all have scores that are exactly 1 point above the mean. From this information, what can you determine about the score for the sixth individual?
It is below the mean by 5 points.
Which of the following statements cannot be true for a distribution of scores?
60% of the scores are above the median
Which of the following statements cannot be true for a distribution of scores?
No one has a score exactly equal to the mode
A researcher measures eye color for a sample of n = 50 people. Which measure of central tendency would be appropriate to summarize the measurements?
mode
A researcher is measuring the amount of time needed to solve a set of anagrams for a sample of n = 15 students. However, one of the participants fails to solve the problems so the researcher has an undetermined score. What is the best measure of central tendency for these data?
the median
One item on a questionnaire asks students how many times in a typical week they eat at a fast-food restaurant. The responses for a sample of n = 10 students are summarized in the frequency distribution. What is the best measure of central tendency for these data?
the median
A population of scores has a mean of µ = 26, a median of 23, and a mode of 22. What is the most likely shape for the population distribution?
positively skewed
For a perfectly symmetrical distribution with µ = 30, what is the most probably value for the mode?
cannot be determined from the information given
For a negatively skewed distribution with a mean of M = 20, what is the most probable value for the median?
greater than 20
For a negatively skewed distribution with a mode of X = 25 and a median of 20, what is the most likely value for the mean?
less than 20
A distribution is positively skewed. Which is the most probable order, from smallest to largest, for the three measures of central tendency?
mode, median, mean
For a perfectly symmetrical distribution with a median of 30, what is the value of the mean?
30
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