#1
What is the mean of the following set of numbers: 5, 7, 9, 11, 13?
#2
What is the probability of rolling a 6 on a fair six-sided die?
#3
What is the purpose of a histogram in statistics?
To display the distribution of categorical data
To compare two or more sets of data
To show the relationship between two variables
To visualize the distribution of numerical data
#4
What is the purpose of a scatter plot in statistics?
To display the distribution of categorical data
To compare two or more sets of data
To visualize the relationship between two numerical variables
To measure the central tendency of a dataset
#5
Which of the following measures of central tendency is most affected by extreme values?
#6
In a normal distribution, what percentage of data falls within one standard deviation from the mean?
#7
What is the difference between population and sample in statistics?
Population refers to a group from which data is collected, while sample is a subset of the population.
Population is a subset of the sample, while sample refers to the entire group from which data is collected.
Population and sample are the same concepts and can be used interchangeably.
Population is the average of the sample, while sample is the total of the population.
#8
In a box plot, what does the 'whisker' represent?
The lower quartile
The upper quartile
The interquartile range
The range of the data excluding outliers
#9
What does a positive skewness value indicate about a distribution?
The distribution is symmetric
The distribution is negatively skewed
The distribution is positively skewed
The distribution has no skewness
#10
What is the formula to calculate the standard deviation of a sample?
σ = √(Σ(x - μ)² / (n - 1))
σ = √(Σ(x - μ)² / n)
σ = √(Σ(x - μ) / (n - 1))
σ = √(Σ(x - μ) / n)
#11
What does 'p-value' represent in hypothesis testing?
The probability of rejecting the null hypothesis when it is true
The probability of accepting the null hypothesis when it is false
The probability of observing the data if the null hypothesis is true
The probability of observing the data if the alternative hypothesis is true
#12
What is the formula for calculating the coefficient of variation?
CV = (Standard Deviation / Mean) * 100%
CV = Mean / Standard Deviation
CV = Standard Deviation / Mean
CV = Mean * Standard Deviation
#13
What is the formula for calculating the z-score of a data point?
z = (x - μ) / σ
z = (x - σ) / μ
z = (x - μ) * σ
z = (x - μ) + σ