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 5 25 % 5
82 to 90

Explanation:

Step1: Count the number of data points in 82 - 90

The data points in 82 - 90 are 85, 83, 90, 85, 90. So the frequency is 5.

Step2: Calculate the relative frequency

The total number of data points is 20. The relative frequency is $\frac{5}{20}=0.25 = 25\%$.

Step3: Calculate the cumulative frequency

The cumulative frequency is the sum of the frequencies of previous bins and the current bin. Since the previous cumulative frequency was 5 (for 91 - 99) and the frequency of 82 - 90 is 5, the cumulative frequency is $5 + 5=10$.

Answer:

Data	Frequency	Relative frequency	Cumulative frequency
82 - 90	5	25%	10