#1
Which of the following best describes descriptive statistics?
It is the branch of mathematics that deals with the collection, analysis, interpretation, and presentation of data.
ExplanationDescriptive statistics summarizes data.
#2
What is the purpose of a frequency distribution?
To summarize and organize data into categories and display their frequencies.
ExplanationFrequency distribution organizes and displays data.
#3
What is the main purpose of calculating measures of dispersion?
To measure the spread or variability of the data.
ExplanationMeasures of dispersion quantify variability.
#4
What statistical measure is used to quantify the strength and direction of the linear relationship between two variables?
Correlation coefficient
ExplanationCorrelation coefficient quantifies linear relationships.
#5
Which of the following measures is used to describe the spread of a dataset?
Range
ExplanationRange measures spread of data.
#6
Which measure of central tendency is affected most by extreme values?
Mean
ExplanationMean is sensitive to extreme values.
#7
What is the purpose of constructing a histogram?
To display the distribution of a continuous variable.
ExplanationHistograms show continuous variable distributions.
#8
What does the interquartile range (IQR) represent in a dataset?
The range between the first and third quartiles.
ExplanationIQR represents the spread within the middle 50% of data.
#9
In a frequency distribution, what does the term 'cumulative frequency' refer to?
The total frequency up to a certain value in a dataset.
ExplanationCumulative frequency is the total up to a certain point.
#10
Which graphical method is best suited for displaying the relationship between two continuous variables?
Scatter plot
ExplanationScatter plots depict relationships between continuous variables.
#11
Which of the following best describes a positively skewed distribution?
The tail of the distribution extends to the right.
ExplanationPositive skew: tail extends to the right.
#12
What is the formula to calculate the standard deviation of a sample?
σ = √(Σ(x - μ)² / (n - 1))
ExplanationStandard deviation measures dispersion.
#13
What is the formula to calculate the coefficient of variation (CV)?
CV = (Standard Deviation) / (Mean)
ExplanationCoefficient of variation standardizes dispersion.