#1
What is the median of the following dataset: 12, 15, 18, 20, 25, 30, 35?
25
ExplanationMiddle value of the dataset; half of the values are above and half below.
#2
What does the term 'p-value' stand for in statistics?
Probability value
ExplanationProbability of obtaining results as extreme as the observed results.
#3
What does the term 'skewness' refer to in statistics?
The lack of symmetry in the distribution
ExplanationMeasure of asymmetry in the distribution of data.
#4
Which of the following is a measure of relative standing in a dataset?
Median
ExplanationMiddle value in a sorted list of values.
#5
Which statistical distribution is commonly used to model continuous random variables?
Normal distribution
ExplanationSymmetric, bell-shaped distribution.
#6
What is the standard deviation of the following dataset: 5, 10, 15, 20, 25, 30?
7.5
ExplanationMeasure of dispersion indicating the spread of values around the mean.
#7
What is the mode of the following dataset: 3, 5, 5, 7, 7, 7, 9, 9, 11?
7
ExplanationMost frequently occurring value in the dataset.
#8
Which measure of central tendency is affected most by outliers?
Mean
ExplanationSensitive to extreme values, pulling the average towards them.
#9
Which graphical representation is used to display the relationship between two continuous variables?
Scatter plot
ExplanationShows how one variable is affected by another.
#10
What is the purpose of hypothesis testing in statistical analysis?
To make inferences about population parameters based on sample data
ExplanationDetermines if there is enough evidence to reject a null hypothesis.
#11
What is the coefficient of correlation if the correlation between two variables is perfect and positive?
1
ExplanationIndicates a perfect positive linear relationship between variables.
#12
Which of the following statistical tests is used to compare the means of two independent groups?
T-test
ExplanationDetermines if there is a significant difference between means of two groups.
#13
What does a p-value indicate in hypothesis testing?
The probability of observing the sample data given that the null hypothesis is true
ExplanationProbability of obtaining test results at least as extreme as the observed results.
#14
What does the standard error measure in statistical analysis?
The variability of sample means around the population mean
ExplanationEstimate of how much the sample mean is likely to differ from the population mean.
#15
Which of the following measures of dispersion is least affected by outliers?
Interquartile range
ExplanationSpread of middle 50% of data; outliers have less influence.