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A phlebotomist draws the blood of a random sample of 30

patients and determines their blood types as shown:
ABO A BA
O[A] ABA
AA OABA
OB AABO
A|A|ABAB|A|
OA OABO
1-
2-
3-
4-
5-
common?
What is the type of this data? Explain
Construct a frequency distribution
Construct a relative frequency distribution
6-
According to the data, which blood is the most
7-
8-
common?
According to the data, which blood is the least
Use the results of the sample to conjecture the
percentage of the population that has the type O blood
Draw the frequency Pareto graph
Draw the relative Pareto graph?

1 Answer

3 votes

Answer:

A

B

A

O

AB

The type of this data is categorical data, specifically nominal data since the blood types are categorical and do not have any numerical significance.

The most common blood type in the sample is A.

The least common blood type in the sample is AB.

To determine the percentage of the population that has type O blood, we can add up the frequency of all individuals with type O blood (which is 7 in this sample) and divide by the total sample size (30) and multiply by 100. This gives us a percentage of 23.3%.

Frequency distribution:

Blood Type Frequency

A 9

B 4

AB 2

O 7

Relative frequency distribution:

Blood Type Frequency Relative Frequency

A 9 0.3

B 4 0.133

AB 2 0.067

O 7 0.233

Pareto graph of the frequency distribution:

|

A | *********

|

B | ****

|

AB | **

|

O | *******

|

|___________

Blood Type

Pareto graph of the relative frequency distribution:

|

A | *********

|

B | ****

|

AB | **

|

O | *******

|

|___________

Blood Type

Note: The asterisks (*) represent the frequency or relative frequency of each blood type, and the vertical axis represents the frequency or relative frequency scale.

Step-by-step explanation:

A

B

A

O

AB

The type of this data is categorical data, specifically nominal data since the blood types are categorical and do not have any numerical significance.

The most common blood type in the sample is A.

The least common blood type in the sample is AB.

To determine the percentage of the population that has type O blood, we can add up the frequency of all individuals with type O blood (which is 7 in this sample) and divide by the total sample size (30) and multiply by 100. This gives us a percentage of 23.3%.

Frequency distribution:

Blood Type Frequency

A 9

B 4

AB 2

O 7

Relative frequency distribution:

Blood Type Frequency Relative Frequency

A 9 0.3

B 4 0.133

AB 2 0.067

O 7 0.233

Pareto graph of the frequency distribution:

|

A | *********

|

B | ****

|

AB | **

|

O | *******

|

|___________

Blood Type

Pareto graph of the relative frequency distribution:

|

A | *********

|

B | ****

|

AB | **

|

O | *******

|

|___________

Blood Type

Note: The asterisks (*) represent the frequency or relative frequency of each blood type, and the vertical axis represents the frequency or relative frequency scale.

User Asafge
by
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