View the step-by-step solution to: 1. (Points: 5) A population of N = 6 scores has SX = 48.

1.
(Points: 5)
A population of N = 6 scores has SX = 48. What is the population mean? (Assume S = the summation symbol.

a. 288
b. 48
c. 12
d. 8
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2.
(Points: 5)
For the population of scores shown in the frequency distribution table, the mean is_____. X = 5 f = 2, X = 4 f = 1, X = 3 f = 4, X = 2 f = 3, X = 1 f = 2

a. 15/5 = 3
b. 12/12 = 1.25
c. 34/5 = 6.68
d. 34/12 = 2.83
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3.
(Points: 5)
A population has a mean of 4 and SX = 48. How many scores are in this population? (Assume S = the summation symbol)

a. 192
b. 48
c. 12
d. cannot be determined from the information given
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4.
(Points: 5)
After 5 points are added to every score in a distribution, the mean is calculated and the new mean is found to be = 30. What was the value of the mean for the original distribution?

a. 25
b. 30
c. 35
d. cannot be determined from the information given
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5.
(Points: 5)
Changing the value of a score in a distribution will always change the value of the ____.

a. mean
b. median
c. mode
d. all of the choices are correct
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6.
(Points: 5)
A sample has a mean of M = 72. If one person with a score of X = 58 is removed from the sample, what effect will it have on the sample mean?

a. The sample mean will increase.
b. The sample mean will decrease.
c. The sample mean will remain the same.
d. cannot be determined from the information given
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7.
(Points: 5)
What is the value of the median for the following set of scores? Scores: 1, 3, 3, 5, 6, 7, 8, 23

a. 5
b. 5.5
c. 6
d. 54/8 = 7
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8.
(Points: 5)
What is the median for the following set of scores? Scores: 1, 2, 5, 6, 17

a. 3.5
b. 5
c. 5.5
d. 6
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9.
(Points: 5)
A teacher gave a reading test to a class of 5th-grade students and computed the mean, median, and mode for the test scores. Which of the following statements cannot be an accurate description of the scores?

a. The majority of the students had scores above the mean.
b. The majority of the students had scores above the median.
c. The majority of the students had scores above the mode.
d. All of the other options are false statements.
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10.
(Points: 5)
One item on a questionnaire asks, "How many siblings (brothers and sisters) did you have when you were a child?" A researcher computes the mean, the median, and the mode for a set of n = 50 responses to this question. Which of the following statements accurately describes the measures of central tendency?

a. Because the scores are all whole numbers, the mean will be a whole number.
b. Because the scores are all whole numbers, the median will be a whole number.
c. Because the scores are all whole numbers, the mode will be a whole number.
d. All of the other options are correct descriptions.
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11.
(Points: 5)
What is the mode for the following sample of n = 8 scores? Scores: 0, 1, 1, 2, 2, 2, 2, 3

a. 2
b. 2.5
c. 13/8 = 1.625
d. 5
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12.
(Points: 5)
One sample of n = 4 scores has a mean of M = 10, and a second sample of n = 8 scores has a mean of M = 20. If the two samples are combined, the mean for the combined sample will be ____.

a. equal to 15
b. greater than 15 but less than 20
c. less than 15 but more than 10
d. None of the other choices is correct.
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13.
(Points: 5)
One sample has n = 10 scores and M = 30. A second sample has n = 20 scores and M = 40. If the two samples are combined, then the combined sample will have a mean ____.

a. halfway between 30 and 40.
b. closer to 30 than it is to 40.
c. closer to 40 than it is to 30.
d. None of the other choices is correct.
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14.
(Points: 5)
Which of the following is true for a symmetrical distribution?

a. The mean, median, and mode are all equal.
b. mean = median
c. mean = mode
d. median = mode
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15.
(Points: 5)
For a negatively skewed distribution with a mode of X = 25 and a mean of M = 20, the median is probably ____.

a. greater than 25
b. less than 20
c. between 20 and 25
d. cannot be determined from the information given
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16.
(Points: 5)
For a negatively skewed distribution with a mode of X = 25 and a median of 20, the mean is probably ____.

a. greater than 25
b. less than 20
c. between 20 and 25
d. cannot be determined from the information given
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17.
(Points: 5)
A distribution is positively skewed. Which is the most probable order for the three measures of central tendency?

a. mean = 40, median = 50, mode = 60
b. mean = 60, median = 50, mode = 40
c. mean = 40, median = 60, mode = 50
d. mean = 50, median = 50, mode = 50
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18.
(Points: 5)
A researcher is measuring problem-solving times for a sample of n = 20 children. However, one of the children fails to solve the problem, so the researcher has an undetermined score. What is the best measure of central tendency for these data?

a. the mean
b. the median
c. the mode
d. Central tendency cannot be determined for these data.
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19.
(Points: 5)
A set of individuals is measured on a nominal scale. To determine the central tendency for the resulting measurements, a researcher should use the ______.

a. mean
b. median
c. mode
d. It is impossible to determine central tendency for nominal measurements.
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20.
(Points: 5)
For an extremely skewed distribution of scores, the best measure of central tendency would be ____.

a. the mean
b. the median
c. the mode
d. Central tendency cannot be determined for a skewed distribution.
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