The standard deviation (or variance) is smallest when deviations are taken from the?
Correct answer B. Mean
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Statistics MCQs
Page 10 of Statistics multiple-choice questions with answers. Tap an option to check yourself.
Page 10 of 37
Which shape can the normal curve be compared to?
Correct answer C. Bell
If the third moment about the mean is zero, the distribution is?
Correct answer B. Symmetrical
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In a normal distribution, what does E(X − µ)² represent?
Correct answer B. Variance
What is the variance of the values 4, 4, 4, 4, 4, 4?
Correct answer D. None of these
In a normal distribution, which parameters govern the curve, including how flat it is?
Correct answer D. µ, σ
The sum of absolute deviations from the median is?
Correct answer B. Least
What is the shape of a symmetrical distribution such as the normal?
Correct answer B. Bell-shaped
In a normal distribution, the quartile deviation equals what multiple of the standard deviation?
Correct answer C. 0.6745
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Which central moments of a normal distribution are all equal to zero?
Correct answer A. Odd
If n ≥ 30 and which condition holds does the binomial distribution approach the normal distribution?
Correct answer A. p = q
If Y = −8X − 5 and the standard deviation of X is 3, what is the standard deviation of Y?
Correct answer B. 24
As the number of observations becomes ____, distributions tend towards the normal distribution. Which word fills the blank?
Correct answer C. Large
If the standard deviation of 2, 4, 6, 8 is taken as 2.33, what is the standard deviation of 4, 6, 8, 10?
Correct answer D. 2.33
How is the standard normal variable Z defined?
Correct answer B. (x − µ)/σ
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What is the total area of a normal distribution equal to?
Correct answer C. One
The variance of 5 numbers is 10. If each number is divided by 2, what is the variance of the new numbers?
Correct answer D. 2.5
In a normal distribution, the mean equals the mode and which other measure?
Correct answer D. Median
What type of random variable follows a normal distribution?
Correct answer A. Continuous r.v.
If X ~ N(µ, σ²), how is Z = (X − µ)/σ distributed?
Correct answer C. N(0, 1)