If the valuesof a set are measured in cm, what will be the unit of variance?

Options

A. `cm`
B. `cm^(2)`
C. `cm^(3)`
D. No unit

Explanation

To determine the unit of variance when the values of a set are measured in centimeters, we can follow these steps:

### Step 1: Understand the Definition of Variance
Variance is a statistical measure that represents the degree of spread or dispersion of a set of values. It is calculated by taking the average of the squared differences from the mean.

### Step 2: Identify the Units of the Data
In this case, the values of the set are measured in centimeters (cm).

### Step 3: Calculate the Variance
When calculating variance, we first find the mean of the data set. Then, we subtract the mean from each data point, square the result, and finally take the average of these squared differences.

### Step 4: Analyze the Units in the Variance Calculation
Since the differences from the mean are in centimeters, when we square these differences, the unit changes:
- The unit of the differences is cm.
- Squaring the differences gives us cm² (square centimeters).

### Step 5: Conclusion
Therefore, the unit of variance for a set of values measured in centimeters will be square centimeters (cm²).

### Final Answer
The unit of variance is cm².

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