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Questions and Answers
Which of the following is NOT a measure of center in statistics?
Which of the following is NOT a measure of center in statistics?
- Mean
- Range (correct)
- Mode
- Median
What is the formula for calculating the standard deviation of a sample?
What is the formula for calculating the standard deviation of a sample?
- sqrt((sum of squared differences from the mean) / (number of data values))
- (sum of all data values) / (number of data values)
- sqrt((sum of all data values) / (number of data values))
- sqrt((sum of squared differences from the mean) / (number of data values - 1)) (correct)
Which of the following is a characteristic of a normal distribution?
Which of the following is a characteristic of a normal distribution?
- Skewed to the left
- Skewed to the right
- Symmetric (correct)
- Bimodal
Flashcards
What is the range in statistics?
What is the range in statistics?
The range represents the difference between the highest and lowest values in a dataset, providing a measure of spread or variability, not central tendency.
What is the formula for standard deviation?
What is the formula for standard deviation?
The standard deviation of a sample is calculated by taking the square root of the variance. It measures the average deviation of data points from the mean. The formula helps quantify how spread out the data is from its central value.
What is a characteristic of a normal distribution?
What is a characteristic of a normal distribution?
A normal distribution is characterized by its symmetrical bell-shaped curve. This symmetry implies that the mean, median, and mode are all equal, indicating that the data is evenly distributed around the central point.
Study Notes
Measures of Center
- Mode is a measure of center that represents the most frequently occurring value in a dataset.
Standard Deviation
- The formula for calculating the standard deviation of a sample is: σ = √[(Σ(xi - x̄)²) / (n - 1)].
- This formula calculates the spread of a sample dataset from its mean value.
Normal Distribution
- A characteristic of a normal distribution is that it is symmetric and bell-shaped, with the mean, median, and mode all equal.
- In a normal distribution, about 68% of the data falls within one standard deviation of the mean.
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Description
Test your knowledge of AP statistics unit 1 with this quiz! Determine which measure of center is NOT used in statistics, identify the formula for calculating sample standard deviation, and recognize the characteristics of a normal distribution.