Question

Given below are two statements about a normally distributed data.
Statement I : 95.45% of the occurrences will lie between $\bar {X}±3σ$.
Statement II : 68.27% of the occurrences will lie between $\bar {X}±1σ$.
In the light of the above statements, choose the correct answer from the options given below:

• A. Both Statement I and Statement II are true
• B. Both Statement I and Statement II are false
• C. Statement I is true but Statement II is false
• D. Statement I is false but Statement II is true

Answer 1

Answer: (D)

Statement I is false but Statement II is true

Answer 2

The correct option is (D): Statement I is false but Statement II is true.