Class Frequency Relative Frequency Cumulative Relative Frequency One 0.282 Two 0
ID: 3259341 • Letter: C
Question
Class
Frequency
Relative Frequency
Cumulative Relative Frequency
One
0.282
Two
0.776
Three
0.906
Four
0.956
Five
1
Total
1
The frequency distribution above is a summary of the number of siblings for each person in a group of randomly selected American adults. Some of the values are purposely missing. What is the relative frequency in the class of two siblings?
Class
Frequency
Relative Frequency
Cumulative Relative Frequency
One
0.282
Two
0.776
Three
0.906
Four
0.956
Five
1
Total
1
The frequency distribution above is a summary of the number of siblings for each person in a group of randomly selected American adults. Some of the values are purposely missing. What is the relative frequency in the class of two siblings?
Explanation / Answer
Let P(i) = denote the relative frequency of ith group.
F(i) = denotes Cumulative Relative Frequency for ith group.
Formula,
P(1) = F(i)
P(i) = F(i)-F(i-1)
Consider,
P(1) = F(1) = 0.282
P(2) = F(2) - F(1) = 0.776 - 0.282 = 0.494
P(3) = F(3) - F(2) = 0.906 - 0.776 = 0.13
P(4) = F(4) - F(3) = 0.956 - 0.906 = 0.05
P(5) = F(5) - F(4) = 1 - 0.956 = 0.044
Hence,
x Relative frequency Cumulative Relative Frequency 1 0.282 0.282 2 0.494 0.776 3 0.13 0.906 4 0.05 0.956 5 0.044 1 Total 1