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:

OutcomeFrequency
Heads16
Tails14

Step 3: Create the Categorical Frequency Distribution

Here is the categorical frequency distribution:

OutcomeFrequency
Heads16
Tails14

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:

  1. What is the relative frequency of "Heads" and "Tails" in this sample?
  2. How would you visualize this frequency distribution using a bar chart?
  3. If another student flipped the coin and got "Tails," how would the distribution change?
  4. What is the probability of flipping "Heads" based on this sample?
  5. 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

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Suitable Grade Level

Grades 7-9