Math Problem Statement
A sample of students was asked to flip a coin and record their results. The raw responses are given in this table: Heads
Heads
Tails
Tails
Heads
Tails
Tails
Tails
Heads
Heads
Tails
Heads
Tails
Tails
Heads
Heads
Tails
Tails
Tails
Heads
Heads
Tails
Heads
Heads
Tails
Heads
Heads
Tails
Heads
Heads Give the categorical frequency distribution for these data.
Provide your answer below:
Heads
Tails
Solution
To create a categorical frequency distribution for the given data, we will count the number of times "Heads" and "Tails" appear in the sample.
Step 1: List the Data
The responses are:
- Heads
- Heads
- Tails
- Tails
- Heads
- Tails
- Tails
- Tails
- Heads
- Heads
- Tails
- Heads
- Tails
- Tails
- Heads
- Heads
- Tails
- Tails
- Tails
- Heads
- Heads
- Tails
- Heads
- Heads
- Tails
- Heads
- Heads
- Tails
- Heads
- Heads
Step 2: Count the Frequencies
Now, let's count how many times each outcome appears:
Outcome | Frequency |
---|---|
Heads | 16 |
Tails | 14 |
Step 3: Create the Categorical Frequency Distribution
Here is the categorical frequency distribution:
Outcome | Frequency |
---|---|
Heads | 16 |
Tails | 14 |
This table shows how often each outcome occurred in the sample of students flipping a coin.
Would you like further details or have any questions?
Here are 5 related questions for further exploration:
- What is the relative frequency of "Heads" and "Tails" in this sample?
- How would you visualize this frequency distribution using a bar chart?
- If another student flipped the coin and got "Tails," how would the distribution change?
- What is the probability of flipping "Heads" based on this sample?
- How does this distribution compare to the expected 50/50 distribution in a fair coin flip?
Tip: When interpreting coin flip results, consider the sample size to assess how closely the data aligns with the expected probability.
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Math Problem Analysis
Mathematical Concepts
Statistics
Categorical Frequency Distribution
Formulas
-
Theorems
-
Suitable Grade Level
Grades 7-9
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