#1
Which of the following is an example of a continuous variable?
Number of students in a class
Weight of a person
Number of cars in a parking lot
Gender of individuals
#2
What data type would you use to represent a person's age?
String
Boolean
Integer
Float
#3
Which of the following is a valid data type for representing a person's gender?
Integer
Float
String
Boolean
#4
What is the mode of the following dataset: [5, 7, 5, 3, 2, 5, 7]?
#5
What is the median of the dataset: [10, 15, 20, 25, 30]?
#6
Which of the following is not a valid data type in statistics?
Ordinal
Nominal
Categorical
Tropical
#7
In statistics, what does 'mean' refer to?
The middle value in a dataset
The most frequently occurring value in a dataset
The average value of a dataset
The range of values in a dataset
#8
Which of the following statements about a standard deviation is true?
It measures the spread of data around the median
It is not affected by outliers in the dataset
A higher standard deviation indicates less variability in the dataset
It is a measure of the average deviation of data points from the mean
#9
What is the formula for calculating variance?
Sum of squared deviations divided by sample size
Sum of squared deviations divided by sample size minus one
Square root of the sum of squared deviations
Sum of deviations divided by sample size
#10
Which of the following statements about correlation is correct?
Correlation measures the strength of a linear relationship between two variables
Correlation can only be positive and cannot be negative
Correlation indicates causation between two variables
Correlation is not affected by outliers in the data
#11
What is the purpose of declaring a variable in statistics?
To indicate the beginning of a dataset
To store and represent data
To perform mathematical operations
To determine the shape of the distribution
#12
In statistics, what does 'skewness' refer to?
The symmetry of the distribution
The spread of the data
The tendency of the data to have extreme values
The measure of asymmetry in the distribution
#13
What is the formula for Pearson correlation coefficient (r)?
Sum of products of deviations from means divided by sample size
Sum of squared deviations from means divided by sample size
Sum of products of deviations from means divided by square root of the product of sum of squared deviations
Sum of products of deviations from means divided by product of sum of squared deviations
#14
What is the purpose of statistical hypothesis testing?
To determine the population parameters from a sample
To make predictions about future outcomes
To assess the likelihood of a hypothesis given data
To summarize data using descriptive statistics
#15
What is the purpose of the central limit theorem?
To describe the distribution of sample means
To estimate population parameters
To test hypotheses about population proportions
To compare two or more independent groups