#1
What is the mean of the following set of numbers: 5, 7, 9, 11, 13?
9
ExplanationAverage of the numbers.
#2
What is the probability of rolling a 6 on a fair six-sided die?
1/6
ExplanationProbability of a specific outcome on a fair die.
#3
What is the purpose of a histogram in statistics?
To visualize the distribution of numerical data
ExplanationGraphical representation of data distribution.
#4
What is the purpose of a scatter plot in statistics?
To visualize the relationship between two numerical variables
ExplanationDisplaying correlation between variables.
#5
Which of the following measures of central tendency is most affected by extreme values?
Mean
ExplanationMean is sensitive to outliers.
#6
In a normal distribution, what percentage of data falls within one standard deviation from the mean?
68%
ExplanationPercentage of data close to the mean in a normal distribution.
#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.
ExplanationDistinction between entire group and a subset for analysis.
#8
In a box plot, what does the 'whisker' represent?
The range of the data excluding outliers
ExplanationExtent of data spread, excluding outliers, in a box plot.
#9
What does a positive skewness value indicate about a distribution?
The distribution is positively skewed
ExplanationDistribution is biased towards higher values.
#10
What is the formula to calculate the standard deviation of a sample?
σ = √(Σ(x - μ)² / (n - 1))
ExplanationFormula for measuring dispersion in a sample.
#11
What does 'p-value' represent in hypothesis testing?
The probability of observing the data if the null hypothesis is true
ExplanationLikelihood of obtaining observed results under null hypothesis.
#12
What is the formula for calculating the coefficient of variation?
CV = (Standard Deviation / Mean) * 100%
ExplanationRelative measure of dispersion in data.
#13
What is the formula for calculating the z-score of a data point?
z = (x - μ) / σ
ExplanationStandardized measure of how many standard deviations a data point is from the mean.