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Use 8-point bins (92 to 99,84 to 91 , etc.) to make a frequency table for the data set below. Include columns for relative frequency and cumulative frequency. Complete the table. (Type integers or decimals rounded to the nearest tenth as needed.) Data Frequency Relative frequency Cumulative frequency 92 to 99 %

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Final Answer:

Data | Frequency | Relative frequency | Cumulative frequency

92-99 | 4 | 0.4 | 4

84-91 | 6 | 0.6 | 10

76-83 | 8 | 0.8 | 18

68-75 | 3 | 0.3 | 21

60-67 | 2 | 0.2 | 23

Explanation:

The frequency table categorizes the data into 8-point bins, ranging from 92-99, 84-91, 76-83, 68-75, and 60-67. It shows the frequency of occurrences within each bin, the relative frequency (which is the proportion of each bin relative to the total data set), and the cumulative frequency (the running total of frequencies). The bin 92-99 appears four times, accounting for 40% of the dataset, while 84-91 appears six times, constituting 60% of the data. The cumulative frequency illustrates a gradual increase, totaling 23 entries by the end.

The table organizes the data effectively, highlighting the distribution across these 8-point intervals and providing a clear breakdown of how frequently values fall within each range. The cumulative frequency demonstrates the accumulation of data points as you move through the bins, aiding in understanding the overall distribution pattern.

By using these 8-point bins and calculating their frequencies, relative frequencies, and cumulative frequencies, it becomes easier to visualize the spread and concentration of the dataset within specific ranges, assisting in further statistical analysis or interpretation.

User Miller Zhu
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