Four coins were tossed 36 times simultaneously. Each time the numbe r of heads appearing was noted down as below:
2, 3, 0, 0, 1, 4, 3, 3, 2, 4, 0, 1, 3, 2, 4, 2, 3, 1, 2,
0, 4, 3, 2, 0, 1, 2, 3, 3, 2, 2, 4, 4, 0, 1, 1, 3.
What are the frequencies of 0 and 4 number of heads respectively?

Options

A. 9, 6
B. 6, 6
C. 9, 9
D. 6,9

Answer

To find the frequencies of 0 and 4 number of heads from the given data, we will follow these steps:

### Step 1: List the data
We have the following data representing the number of heads obtained when tossing four coins 36 times:
2, 3, 0, 0, 1, 4, 3, 3, 2, 4, 0, 1, 3, 2, 4, 2, 3, 1, 2, 0, 4, 3, 2, 0, 1, 2, 3, 3, 2, 2, 4, 4, 0, 1, 1, 3.

### Step 2: Count the frequency of 0 heads
We will count how many times '0' appears in the data:
- The occurrences of '0' are: 0, 0, 0, 0, 0, 0.
- Thus, the frequency of 0 heads is **6**.

### Step 3: Count the frequency of 4 heads
Next, we will count how many times '4' appears in the data:
- The occurrences of '4' are: 4, 4, 4, 4.
- Thus, the frequency of 4 heads is **6**.

### Step 4: Present the frequencies
The frequencies of 0 and 4 number of heads are:
- Frequency of 0 heads = 6
- Frequency of 4 heads = 6

### Final Answer
The frequencies of 0 and 4 number of heads respectively are **6 and 6**.

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