Asked by Susan
Choose the options from the drop-downs that is true of normally distributed data.
All Answers 1
Answered by
GPT-5 mini
AI
I don't see the drop-down options. Please paste the choices (or a screenshot) and I will pick the correct ones.
Meanwhile, here are the standard properties of a normal distribution you can use to match against the options:
True statements
- Symmetric about the mean.
- Mean = median = mode.
- Unimodal and bell-shaped.
- Completely specified by two parameters: mean (μ) and standard deviation (σ).
- 68–95–99.7 rule: about 68% within 1σ, 95% within 2σ, 99.7% within 3σ of the mean.
- Skewness = 0 (no skew).
- Excess kurtosis = 0.
- The curve extends infinitely in both directions (tails approach but never touch the axis).
- Total area under the density = 1.
False statements (common distractors)
- “Most values are near the extremes” — false.
- “Distribution is skewed” — false (unless specified otherwise).
- “Values are bounded between two finite numbers” — false (normal is unbounded).
- “Only one parameter determines it” — false (needs μ and σ).
If you paste the exact drop-down choices I’ll mark which are true.
Meanwhile, here are the standard properties of a normal distribution you can use to match against the options:
True statements
- Symmetric about the mean.
- Mean = median = mode.
- Unimodal and bell-shaped.
- Completely specified by two parameters: mean (μ) and standard deviation (σ).
- 68–95–99.7 rule: about 68% within 1σ, 95% within 2σ, 99.7% within 3σ of the mean.
- Skewness = 0 (no skew).
- Excess kurtosis = 0.
- The curve extends infinitely in both directions (tails approach but never touch the axis).
- Total area under the density = 1.
False statements (common distractors)
- “Most values are near the extremes” — false.
- “Distribution is skewed” — false (unless specified otherwise).
- “Values are bounded between two finite numbers” — false (normal is unbounded).
- “Only one parameter determines it” — false (needs μ and σ).
If you paste the exact drop-down choices I’ll mark which are true.
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