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Solved: Relative Frequencies for Comparisons.Construct the
Chapter 2, Problem 16BSC(choose chapter or problem)
Relative Frequencies for Comparisons. In Exercises 15 and 16, construct the relative frequencies and answer the given questions.
White Blood Cell Counts Construct one table (similar to Table 29 on page 50) that includes relative frequencies based on the frequency distributions from Exercises 9 and 10, and then compare the white blood cell counts of females and males. Are there notable differences?
Questions & Answers
QUESTION:
Relative Frequencies for Comparisons. In Exercises 15 and 16, construct the relative frequencies and answer the given questions.
White Blood Cell Counts Construct one table (similar to Table 29 on page 50) that includes relative frequencies based on the frequency distributions from Exercises 9 and 10, and then compare the white blood cell counts of females and males. Are there notable differences?
ANSWER:Answer :
Step 1 of 2 :
Given, White blood cell count of males and the frequency
White blood cell count of males |
Frequency |
3 - 4.9 |
8 |
5 - 6.9 |
15 |
7 - 8.9 |
11 |
9 - 10.9 |
5 |
11 - 12.9 |
1 |
We have to find the relative frequency for comparison
The total frequency = 82
Relative frequency =
Example :
Relative frequency =
= 20
class width : the difference between the upper and lower class limit.
Example : 4.9 - 3
= 1.9
class midpoints : (lower class limit + upper class limit)/ 2
Example : (3+4.9)/2
= 3.95
class boundaries :
Upper class boundary = Upper limit + () unit of measurement
Ex: 4.9 is the upper class limit and unit of measurement is 0.1
Therefore ,
Upper class boundary = 4.9 + () 0.1
= 4.95
Lower class boundary = Lower limit + () unit of measurement
Ex: 4.9 is the upper class limit and unit of measurement is 0.1
Therefore ,
Upper class boundary = 3 + () 0.1
= 3.05
White blood cell count of males |
Frequency |
Relative frequency |
Class width |
Class midpoints |
Class boundaries |
3 - 4.9 |
8 |
20 |
1.9 |
3.95 |
(3.05 , 4.95) |
5 - 6.9 |
15 |
37.5 |
1.9 |
5.95 |
(5.05 , 6.95) |
7 - 8.9 |
11 |
27.5 |
1.9 |
7.95 |
(7.05 , 8.95) |
9 - 10.9 |
5 |
12.5 |
1.9 |
9.95 |
(9.05 , 10.95) |
11 - 12.9 |
1 |
2.5 |
1.9 |
11.95 |
(11.05 , 12.95) |