#1
Which of the following is an example of a continuous variable?
Weight of a person
ExplanationContinuous variables can take any value within a range.
#2
What data type would you use to represent a person's age?
Integer
ExplanationAge is typically represented as whole numbers.
#3
Which of the following is a valid data type for representing a person's gender?
String
ExplanationString data type allows for text representation.
#4
What is the mode of the following dataset: [5, 7, 5, 3, 2, 5, 7]?
5
ExplanationMode is the most frequently occurring value.
#5
What is the median of the dataset: [10, 15, 20, 25, 30]?
22.5
ExplanationMedian is the middle value when the data is arranged in ascending order.
#6
Which of the following is not a valid data type in statistics?
Tropical
ExplanationTropical is not a recognized data type in statistics.
#7
In statistics, what does 'mean' refer to?
The average value of a dataset
ExplanationMean is the sum of values divided by the number of values.
#8
Which of the following statements about a standard deviation is true?
It is a measure of the average deviation of data points from the mean
ExplanationStandard deviation measures the spread of data around the mean.
#9
What is the formula for calculating variance?
Sum of squared deviations divided by sample size minus one
ExplanationVariance measures the dispersion of a set of values.
#10
Which of the following statements about correlation is correct?
Correlation measures the strength of a linear relationship between two variables
ExplanationCorrelation quantifies the extent to which two variables change together.
#11
What is the purpose of declaring a variable in statistics?
To store and represent data
ExplanationVariables in statistics hold data for analysis.
#12
In statistics, what does 'skewness' refer to?
The measure of asymmetry in the distribution
ExplanationSkewness indicates the lack of symmetry in a distribution.
#13
What is the formula for Pearson correlation coefficient (r)?
Sum of products of deviations from means divided by square root of the product of sum of squared deviations
ExplanationPearson correlation measures the strength and direction of the linear relationship between two variables.
#14
What is the purpose of statistical hypothesis testing?
To assess the likelihood of a hypothesis given data
ExplanationHypothesis testing evaluates claims about a population using sample data.
#15
What is the purpose of the central limit theorem?
To describe the distribution of sample means
ExplanationCentral Limit Theorem explains the distribution of sample means.