Exam 2: Frequency Distributions, Percentiles,

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The following scores were obtained by university freshmen on an achievement test in history: The following scores were obtained by university freshmen on an achievement test in history:      (a) Construct a grouped frequency distribution. (b)Convert the frequencies to relative frequencies (use proportions). (a) Construct a grouped frequency distribution. (b)Convert the frequencies to relative frequencies (use proportions).

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range: 54 - 18 = 36
Interval width: 36/10 = 3.6, 36/20 = 1.8, so i = 2 or 3 is okay; we chose i = 3. By making the lower apparent limits a multiple of interval width, we construct the following distributions:
range: 54 - 18 = 36 Interval width: 36/10 = 3.6, 36/20 = 1.8, so i = 2 or 3 is okay; we chose i = 3. By making the lower apparent limits a multiple of interval width, we construct the following distributions:

The lowest score is 23 and the highest score is 87. The range is

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Convert the following percents to proportions (use the same degree of accuracy): (a)42%, (b)78%, (c)43.7%, (d)5.25%, (e).8%.

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(a)42
(b).78
(c).437
(d).0525
(e).008.

Construct a relative frequency distribution (use proportions) from the scores of the above using an interval width of 5 and 15-19 as the lowest interval.

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The lowest score is 23 and the highest score is 87. Permissible class interval widths are

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Base your answers to the questions on the following distribution: Base your answers to the questions on the following distribution:    -The score below which 40% of the cases fall is -The score below which 40% of the cases fall is

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The apparent limits of an interval are 30-34. The width of the interval is

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If measurement is to the nearest 10 lb, then a score of 540 lb means

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Convert the following proportions to percents (report the percent to the same degree of accuracy as the proportion): (a)26, (b).05, (c).79, (d).555, (e).005.

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Base your answers to the questions on the following distribution: Base your answers to the questions on the following distribution:    -The cum ƒ value of 8 means that 8 cases fall below -The cum ƒ value of 8 means that 8 cases fall below

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For each of the following intervals, give (1) the interval width, (2) the real limits of the interval, and (3) the apparent limits and real limits of the next higher interval (assume the scores are rounded to the nearest whole number or decimal place indicated unless otherwise specified): (a)10-14, (b)20-39, (c)2.50-2.74, (d)1.0-1.9, (e)30-40 (accurate to the nearest 10).

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Which one, if any, of the first three alternatives is impossible?

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The lowest and highest scores are given below for different sets of scores. In each case, the scores are to be grouped into class intervals. For each, give (1) the range, (2) your choice of class interval width, (3) the score limits for the lowest interval, and (4) the score limits for the highest interval (do this directly without listing any of the intervals between the lowest and the highest): a) 36, 62, b) 27, 101, c) 56, 69, d) 187, 821, e) 6.3, 21.9, f) 1.27, 3.47.

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John uses our guidelines to arrive at an interval size of 30. Which of the following is the most likely value for the range of scores in his sample?

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Base your answers to the questions on the following distribution: Base your answers to the questions on the following distribution:    -The percentile rank of a score of 54.5 is -The percentile rank of a score of 54.5 is

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Construct a cumulative percentage distribution for the following data: Construct a cumulative percentage distribution for the following data:

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ƒ/n gives us:

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Which one, if any, of the first three alternatives is impossible?

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Base your answers to the questions on the following distribution: Base your answers to the questions on the following distribution:    -There are 16 scores falling below -There are 16 scores falling below

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Base your answers to the questions on the following distribution: Base your answers to the questions on the following distribution:    -P<sub>10</sub> is -P10 is

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