Questions: Use 9 point bins (91 to 99, 82 to 90, etc) to make a frequency table for the data set below. Include columns for relative frequency and cumulative frequency: 99, 70, 93, 80, 86, 89, 72, 99, 99, 95, 77, 89, 95, 64, 88, 71, 66, 91, 73, 69 Complete the table. (Type integers or decimals rounded to the nearest tenth as needed.) Data Frequency Relative frequency Cumulative frequency 91 to 99 x

Use 9 point bins (91 to 99, 82 to 90, etc) to make a frequency table for the data set below. Include columns for relative frequency and cumulative frequency:
99, 70, 93, 80, 86, 89, 72, 99, 99, 95,
77, 89, 95, 64, 88, 71, 66, 91, 73, 69

Complete the table.
(Type integers or decimals rounded to the nearest tenth as needed.)
Data Frequency Relative frequency Cumulative frequency
91 to 99
x
Transcript text: Use 9 point bins ( 91 to 99,82 to 90 , etc) to make a frequency table for the data set below. Include columns for relative frequency and cumulative trequency: \begin{tabular}{llllllllll} 99 & 70 & 93 & 80 & 86 & 89 & 72 & 99 & 99 & 95 \\ 77 & 89 & 95 & 64 & 88 & 71 & 66 & 91 & 73 & 69 \end{tabular} Complete the table. (Type integers or decimals rounded to the nearest tenth as needed.) Data Frequency Relative frequency Cumulative frequency 91 to 99 $\square$ $\square$ x
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Solution

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Solution Steps

Step 1: Determine Bin Boundaries

Given a bin range of 9, the bin boundaries are calculated based on the data set's minimum and maximum values. Bin Boundaries: [64, 73, 82, 91, 100]

Step 2: Sort Data

The data set is sorted in ascending order to facilitate the tallying of frequencies. Sorted Data: [64, 66, 69, 70, 71, 72, 73, 77, 80, 86, 88, 89, 89, 91, 93, 95, 95, 99, 99, 99]

Step 3: Tally Frequencies

For each data point, the corresponding bin's frequency count is incremented. Bin 64 to 73: 6 Bin 73 to 82: 3 Bin 82 to 91: 4 Bin 91 to 100: 7

Step 4: Calculate Relative Frequencies

Each bin's frequency is divided by the total number of data points to find the relative frequency. Bin 64 to 73: 0.3 Bin 73 to 82: 0.1 Bin 82 to 91: 0.2 Bin 91 to 100: 0.3

Step 5: Calculate Cumulative Frequencies

The cumulative frequency of each bin is calculated by adding its frequency to the cumulative frequency of all previous bins. Bin 64 to 73: 6 Bin 73 to 82: 9 Bin 82 to 91: 13 Bin 91 to 100: 20

Final Answer:

| Bin Range | Frequency | Relative Frequency | Cumulative Frequency | |-|-|+|+| | 64 to 73 | 6 | 0.3 | 6 | | 73 to 82 | 3 | 0.1 | 9 | | 82 to 91 | 4 | 0.2 | 13 | | 91 to 100 | 7 | 0.3 | 20 |

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