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
85 83 90 81 68 79 77 91 92 96
85 90 74 64 69 66 85 73 94 94
complete the table
(type integers or decimals rounded to the nearest tenth as needed )
data frequency relative frequency cumulative frequency
91 to 99 %

Explanation:

Step1: Count the frequency

Count the number of data points in the bin 91 - 99. The data points are 91, 92, 96, 94, 94. So the frequency \(f = 5\).

Step2: Calculate the relative frequency

The total number of data points \(n=20\). The relative frequency \(RF=\frac{f}{n}\times100=\frac{5}{20}\times100 = 25\%\).

Step3: Calculate the cumulative frequency

Since this is the first bin (assuming we start from the highest bin), the cumulative frequency \(CF = 5\).

Answer:

Data	Frequency	Relative frequency	Cumulative frequency