The blood group of 30 students of class IX are recorded as follows.A,B,B,B,O,B,B,A,A,B,A,O,AB,O AB,AB,B,AB,B,A,O,AB,B,A,O,A,B,A,A,AB. .(a) Make a frequency distribution table for the above data. (b)Mr 'X' meets an accident and needs blood, His blood group is AB. How many of these students are universal Donars and how many are universal Receipent.
Text Solution
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The correct Answer is:
To solve the question step by step, we will first create a frequency distribution table for the blood groups of the 30 students and then identify the universal donors and recipients.
### Step 1: Count the Frequency of Each Blood Group
We need to count how many students belong to each blood group (A, B, AB, O).
- Blood group A: Count the occurrences of A in the list.
- Blood group B: Count the occurrences of B in the list.
- Blood group AB: Count the occurrences of AB in the list.
- Blood group O: Count the occurrences of O in the list.
### Step 2: Create the Frequency Distribution Table
Once we have the counts, we can create a table to display the frequencies.
#### Frequency Distribution Table:
| Blood Group | Frequency |
|-------------|-----------|
| A | 9 |
| B | 10 |
| AB | 6 |
| O | 5 |
### Step 3: Verify the Total Count
We should verify that the total number of students adds up to 30.
Total = Frequency of A + Frequency of B + Frequency of AB + Frequency of O
Total = 9 + 10 + 6 + 5 = 30
### Step 4: Identify Universal Donors and Recipients
- **Universal Donor**: Blood group O can donate to any blood type.
- **Universal Recipient**: Blood groups A, B, and AB can receive from any blood type.
#### Count of Universal Donors:
- Blood group O: 5 students
#### Count of Universal Recipients:
- Blood groups A, B, and AB:
- A: 9 students
- B: 10 students
- AB: 6 students
- Total = 9 + 10 + 6 = 25 students
### Final Answers:
(a) The frequency distribution table is as follows:
| Blood Group | Frequency |
|-------------|-----------|
| A | 9 |
| B | 10 |
| AB | 6 |
| O | 5 |
(b) Universal Donors: 5 (blood group O)
Universal Recipients: 25 (blood groups A, B, and AB)
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