Question

DESCRIPTIVE STATISTICS Mean, median, and mode: Comparisons An intelligence test that has a maximum time for completion of 45 minutes was recently administered to a group of 22 people. Their respective times for completion (in minutes) were as follows. 23, 29, 31, 32, 33, 34, 37, 37, 37, 37, 38, 38, 39, 41, 41, 41, 41, 42, 42, 43, 43, 44 Frequency 10- 8- 6- 4- 2- 0- 20 25 30 35 40 45 Time for completion (in minutes) (a) For these data, which measures of central tendency take more than one value? Choose all that apply. Mean Median Mode None of these measures (b) Suppose that the measurement 23 (the smallest measurement in the data set) were replaced by 9. Which measures of central tendency would be affected by the change? Choose all that apply. Mean Median Mode None of these measures (c) Suppose that, starting with the original data set, the smallest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply. Mean Median Mode None of these measures (d) Which of the following best describes the distribution of the original data? Choose only one. Negatively skewed Positively skewed Roughly symmetrical

          DESCRIPTIVE STATISTICS
Mean, median, and mode: Comparisons

An intelligence test that has a maximum time for completion of 45 minutes was recently administered to a group of 22 people. Their respective times for completion (in minutes) were as follows.
23, 29, 31, 32, 33, 34, 37, 37, 37, 37, 38, 38, 39, 41, 41, 41, 41, 42, 42, 43, 43, 44

Frequency
10-
8-
6-
4-
2-
0-
20 25 30 35 40 45
Time for completion (in minutes)

(a) For these data, which measures of central tendency take more than one value? Choose all that apply.
Mean
Median
Mode
None of these measures

(b) Suppose that the measurement 23 (the smallest measurement in the data set) were replaced by 9. Which measures of central tendency would be affected by the change? Choose all that apply.
Mean
Median
Mode
None of these measures

(c) Suppose that, starting with the original data set, the smallest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply.
Mean
Median
Mode
None of these measures

(d) Which of the following best describes the distribution of the original data? Choose only one.
Negatively skewed
Positively skewed
Roughly symmetrical

DESCRIPTIVE STATISTICS
Mean, median, and mode: Comparisons

An intelligence test that has a maximum time for completion of 45 minutes was recently administered to a group of 22 people. Their respective times for completion (in minutes) were as follows.
23, 29, 31, 32, 33, 34, 37, 37, 37, 37, 38, 38, 39, 41, 41, 41, 41, 42, 42, 43, 43, 44

Frequency
10-
8-
6-
4-
2-
0-
20 25 30 35 40 45
Time for completion (in minutes)

(a) For these data, which measures of central tendency take more than one value? Choose all that apply.
Mean
Median
Mode
None of these measures

(b) Suppose that the measurement 23 (the smallest measurement in the data set) were replaced by 9. Which measures of central tendency would be affected by the change? Choose all that apply.
Mean
Median
Mode
None of these measures

(c) Suppose that, starting with the original data set, the smallest measurement were removed. Which measures of central tendency would be changed from those of the original data set? Choose all that apply.
Mean
Median
Mode
None of these measures

(d) Which of the following best describes the distribution of the original data? Choose only one.
Negatively skewed
Positively skewed
Roughly symmetrical

Added by Melvin L.

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