What is the mean for the following values of the variable race, represented by:1-African American2- Asians3- Caucasian4- Hispanic5- Others

To calculate the mean of a set of values, we first need numerical representatives for the qualitative categories you provided. Here, we can assign numerical values to each race category:

1. African American - 1
2. Asians - 2
3. Caucasian - 3
4. Hispanic - 4
5. Others - 5

Steps to Calculate Mean

1. Assign Numerical Values: As listed above.
2. Sum of Values: Add all the numerical values.
3. Count of Values: Determine how many categories there are.
4. Calculate Mean: Divide the total sum by the count of values.

Relevant Concepts

• Mean: The arithmetic mean is calculated using the formula:

$\text{Mean} = \frac{\text{Sum of all values}}{\text{Number of values}}$

Calculation Steps

1. Sum of Values: $1 + 2 + 3 + 4 + 5 = 15$

2. Count of Values: There are 5 racial categories.

3. Calculate Mean: $\text{Mean} = \frac{15}{5} = 3$

Final Answer

The mean for the variable race, represented numerically, is $3$.