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.