Question

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 79 70 79 78 67 77 97 98 76 67 79 83 73 66 98 70 98 73 84 77 Complete the table (Type integers or decimals rounded to the nearest tenth as needed.) Data Frequency Relative frequency Cumulative frequency 91 to 99 % 82 to 90 % 73 to 81 % 64 to 72 % Total 100%

Answer 1

The completed frequency table is:

Data Frequency Relative frequency (%) Cumulative frequency

91 to 99 3 15% 3

82 to 90 2 10% 5

73 to 81 4 20% 9

64 to 72 6 30% 15

Total 20 100% -

How to solve

The completed frequency table is:

Data Frequency Relative frequency (%) Cumulative frequency

91 to 99 3 15% 3

82 to 90 2 10% 5

73 to 81 4 20% 9

64 to 72 6 30% 15

Total 20 100% -

How to solve

First, let's organize the given data into the specified bins:

Data Set:

79, 70, 79, 78, 67, 77, 97, 98, 76, 67, 79, 83, 73, 66, 98, 70, 98, 73, 84, 77

Now, let's create a frequency table using 9-point bins and calculate the frequency, relative frequency, and cumulative frequency for each bin:

Bins:

91 to 99

82 to 90

73 to 81

64 to 72

Let's calculate the frequency for each bin:

91 to 99: 3 occurrences

82 to 90: 2 occurrences

73 to 81: 4 occurrences

64 to 72: 6 occurrences

So, the completed frequency table is:

Data Frequency Relative frequency (%) Cumulative frequency

91 to 99 3 15% 3

82 to 90 2 10% 5

73 to 81 4 20% 9

64 to 72 6 30% 15

Total 20 100% -

This table categorizes the given data into 9-point bins, providing frequencies, relative frequencies in percentages, and cumulative frequencies.