Question

Average squared deviation from arithmetic mean may be called as:

• A. Mean Deviation
• B. Standard Deviation
• C. Variance
• D. Coefficient of Variation

Hint:

Variance = average squared deviation.
SD = square root of variance.
Measures dispersion.

Answer 1

The Correct Option is C

Step 1: Understanding the Concept:
Measures of dispersion describe the spread of data.
Each measure has a specific definition.

Step 2: Key Formula or Approach:
Variance = \(\frac{\sum (X_i - \bar{X})^2}{n}\).

Step 3: Detailed Explanation:
The average squared deviation from the arithmetic mean is defined as variance.
It is the mean of the squared differences from the mean.
Standard deviation is the square root of variance.
Mean deviation is the average of absolute deviations.
Coefficient of variation is the ratio of SD to mean.
Thus, the average squared deviation is variance.

Step 4: Final Answer:
Average squared deviation from arithmetic mean is variance.
Hence, the correct option is (C).