Statistics Quiz - Trivia MCQ questions & solution

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Question 1

If the mean of a dataset is greater than the median, what is the shape of the distribution likely to be?

  • Skewed right

  • Skewed left

  • Symmetric

  • Bimodal

Question 2

What is the formula for calculating the mean absolute deviation (MAD) of a dataset?

  • (Σx) / n

  • (X - x̄) / s

  • Σ| x - x̄ | / n

  • (X - x̄)² / (n - 1)

Question 3

What is the interquartile range (IQR) of the dataset: [10, 15, 20, 25, 30]?

  • 10

  • 12.5

  • 15

  • 20

Question 4

What is the coefficient of variation (CV) of the dataset: [15, 20, 18, 25, 22]?

  • 10%

  • 15%

  • 20%

  • 25%

Question 5

What is the formula for calculating the skewness of a dataset?
 

  • (Σx) / n  
     

  • (X - x̄) / s  

  • Σ(x - x̄)³ / (n * s³)  

  • (X - x̄)² / (n - 1)

Question 6

What is the kurtosis of a normal distribution?

  • 0

  • 1

  • 2

  • 3

Question 7

What is the formula for calculating the coefficient of determination (R²)?

  • 1 - (Σ(y - ȳ)² / Σ(y - ŷ)²) 

  • 1 - (Σ(y - ŷ)² / Σ(y - ȳ)²)  

  • 1 - (Σ(ŷ - y)² / Σ(ȳ - y)²)  

  • 1 - (Σ(ȳ - y)² / Σ(ŷ - y)²)

Question 8

What is the formula for calculating the covariance between two variables X and Y?

  • Σ(X - x̄)(Y - ȳ) / n  

  •  Σ(X - μ)(Y - ν) / n  

  • Σ(X - x̄)(Y - ȳ) / (n - 1)  

  • Σ(X - μ)(Y - ν) / (n - 1)

Question 9

In a normal distribution, what percentage of data falls within one standard deviation of the mean?

  • 34%  

  • 68%  

  • 95%  

  • 99.7%

Question 10

What does the correlation coefficient (r) measure?

  • The strength and direction of a linear relationship between two variables  

  • The difference between the means of two groups  

  • The spread of data points in a distribution  

  • The proportion of variance in the dependent variable explained by the independent variable

There are 42 questions to complete.

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