Question:

Standard deviation is:
A. Square root of the variance
B. Measured using the unit of the variable
C. Measured using squared unit of the variable
Choose the correct answer from the options given below:

Show Hint

SD = \(\sqrt{\text{Variance}}\).
Same unit as the variable.
Variance has squared units.
  • A and B only
  • B and C only
  • A and C only
  • A, B and C only
Show Solution
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The Correct Option is A

Solution and Explanation

Step 1: Understanding the Concept:
Standard deviation is a measure of dispersion.
It has specific properties.

Step 2: Key Formula or Approach:

SD = \(\sqrt{\text{Variance}}\).

Step 3: Detailed Explanation:

Statement A: Standard deviation is the square root of variance - correct.
Statement B: It is measured in the unit of the variable - correct.
Statement C: It is measured in squared units - incorrect (that is variance).
Thus, A and B are correct.

Step 4: Final Answer:

A and B are correct.
Hence, the correct option is (A).
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