What is wrong description of the normal distribution?

Question

Options

• AIn natural phenomena and social phenomena, many random variables obey or approximate a
• BThe normal distribution lakes the maximum value at the mean
• CThe larger the standard deviation the steeper the normal d1stribuhon curve
• DThe larger the standard deviation, the slower the normal distribution curve.

• A
  7% (4)
• B
  3% (2)
• C
  76% (45)
• D
  14% (8)

Explanation

Option C is wrong because a larger standard deviation makes the normal curve flatter and wider, not steeper - the spread of data increases as σ grows, stretching the bell shape outward. Option D is actually the correct relationship (larger σ → gentler/flatter curve), which is why C and D are mirror opposites in this question. Option A is a true statement: the normal distribution appears throughout nature and social science (heights, IQ scores, measurement errors). Option B is also true: the peak of the normal curve always falls exactly at the mean, where the probability density is highest.

Memory tip: Think of standard deviation as "breathing room" - the more breathing room (larger σ), the more the curve spreads out and flattens, never steepens. If you see "larger σ → steeper," mark it wrong immediately.

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