Normal Distribution—Pinkie Length Quiz
The question sheet
Reveal any answer as you study-
What body part is measured in this activity?
- Index finger
- Ear
- Foot
- Pinkie finger
Reveal answer
Answer: Pinkie finger
Source evidence
PDF page 377: follow a continuous distribution. Collect the Data Measure the length of your pinkie finger, in centimeters.
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In what unit is the pinkie finger length measured?
- Meters
- Centimeters
- Inches
- Millimeters
Reveal answer
Answer: Centimeters
Source evidence
PDF page 377: follow a continuous distribution. Collect the Data Measure the length of your pinkie finger, in centimeters.
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The student compares empirical data to what in order to check the data?
- A frequency table
- A theoretical distribution
- A pie chart
- A previous class's data
Reveal answer
Answer: A theoretical distribution
Source evidence
PDF page 377: • The student will compare empirical data and a theoretical distribution to determine if data from the experiment
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The activity determines if the data follow what type of distribution?
- A uniform distribution
- A discrete distribution
- A binomial distribution
- A continuous distribution
Reveal answer
Answer: A continuous distribution
Source evidence
PDF page 377: follow a continuous distribution. Collect the Data Measure the length of your pinkie finger, in centimeters.
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To analyze the distribution, you use the sample mean, sample standard deviation, and which item?
- Boxplot
- Pie chart
- Histogram
- Stemplot
Reveal answer
Answer: Histogram
Source evidence
PDF page 377: describe the general shape of the curve. Keep it simple. Does the graph go straight across, does it have a V-shape, does it have a hump in the middle or at either end, and so on? Analyze the Distribution Using your sample mean, sample standard deviation, and histogram, what was the approximate theoretical distribution of the data you collected?
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The approximate theoretical distribution is written using which notation?
- X ~ G(p)
- X ~ U(a, b)
- X ~ N(μ, σ)
- X ~ B(n, p)
Reveal answer
Answer: X ~ N(μ, σ)
Source evidence
PDF page 377: • X ~ _____ (_____, _____)
PDF page 379: deviation; notation: X ~ N(μ, σ). If μ = 0 and σ = 1, the RV is called the standard normal distribution.
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Before describing the data, the hint tells you to do what with the data?
- Average the data
- Round the data
- Graph the data
- Order the data
Reveal answer
Answer: Order the data
Source evidence
PDF page 378: Describe the Data Using the data you collected complete the following statements. Hint—Order the data.
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For the theoretical distribution, what kind of approximation is used?
- Uniform approximation
- Poisson approximation
- Binomial approximation
- Normal approximation
Reveal answer
Answer: Normal approximation
Source evidence
PDF page 378: Theoretical Distribution Using the theoretical distribution, complete the following statements. Use a normal approximation based on the sample mean and standard deviation.
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Which percentiles are asked for when describing the data?
- 10th and 90th
- 15th and 85th
- 25th and 75th
- 5th and 95th
Reveal answer
Answer: 15th and 85th
Source evidence
PDF page 378: • The 15 percentile is _______.
PDF page 378: • The 85 percentile is _______.
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What theoretical probability question is asked about pinkie length?
- Between 4 and 6 cm
- Less than 5 cm
- More than 6.5 cm
- Exactly 6 cm
Reveal answer
Answer: More than 6.5 cm
Source evidence
PDF page 378: • What is the theoretical probability that a randomly chosen pinkie length is more than 6.5 cm?
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When μ = 0 and σ = 1, the random variable is called the:
- Binomial distribution
- Uniform distribution
- Standard normal distribution
- Exponential distribution
Reveal answer
Answer: Standard normal distribution
Source evidence
PDF page 379: deviation; notation: X ~ N(μ, σ). If μ = 0 and σ = 1, the RV is called the standard normal distribution.
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The standard normal distribution X ~ N(0, 1) is often noted as:
- Y ~ U(0, 1)
- T ~ N(0, 1)
- X ~ B(0, 1)
- Z ~ N(0, 1)
Reveal answer
Answer: Z ~ N(0, 1)
Source evidence
PDF page 379: standard normal distribution a continuous random variable (RV) X ~ N(0, 1); when X follows the standard normal distribution, it is often noted as Z ~ N(0, 1). z-score the linear transformation of the form z = ; if this transformation is applied to any normal distribution X ~
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