83 78 95 88 78 53 75 85 78 80 73 65 83 75 80 73 78 68 85 63 | Mathematics homework help

83 78 95 88 78 53 75 85 78 80
73 65 83 75 80 73 78 68 85 63
75 98 75 80 70 88 78 85 73 68
78 75 83 73 80 85 78 58 93 70
80 68 88 78 85 93 73 90 75 83

1. Construct tabular frequency, percentage, cumulative frequency, and cumulative percentage distributions.

X f % fc %c X f % fc %c

98 73

95 70

93 68

90 65

88 63

85 60

83 58

80 55

78 53

75 50

2. Identify the scores marking the 25th and 96th percentile rankings.

3. Identify the percentile rank of scores of 63 and 85.

4. From the data on page 1, construct a tabular grouped frequency, percentage, cumulative frequency, and cumulative percentage distribution with an interval width of i = 5. (Figure a top score at 99.)

X (i = 5) f % fc %c

5. Identify the apparent limits for your top class interval.

6. Identify the real limits for your top class interval.

7. Identify the midpoint for your top class interval.

8. From this grouped distribution estimate the scores marking the 25th and 96th percentiles.

9. From this grouped distribution estimate the percentile rankings of scores of 63 and 85.

10. Use a histogram or a frequency polygon to depict the grouped frequency distribution. Label your graph as to whether it is a histogram or a frequency polygon.

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