WorksheetsStatistics Skills Assessment
Total questions: 20
Worksheet time: 10mins
What is the mean of the following data set: 4, 8, 6, 5, 3?
4.0
5.2
7.0
6.5
How do you calculate the median of a data set?
Add all values and divide by the number of values.
Count the total number of values and multiply by two.
Arrange the data, find the middle value or average of two middle values.
Select the highest value in the data set.
What type of graph is best for showing the distribution of a dataset?
Line graph
Pie chart
Bar chart
Histogram
In a survey of 100 students, 60 prefer math over science. What is the sampling method used?
Convenience sampling
Survey sampling
Systematic sampling
Random sampling
What does a p-value less than 0.05 indicate in hypothesis testing?
It means the results are inconclusive and should be ignored.
It suggests the null hypothesis is true.
It indicates statistical significance, leading to rejection of the null hypothesis.
It indicates a strong correlation between variables.
How can you identify outliers in a data set?
Ignore the data set entirely
Calculate the mean of the data set
Use linear regression analysis
Use Z-score, IQR, or visual methods like box plots.
What is the mode of the following numbers: 2, 3, 3, 5, 7, 8?
3
7
5
2
Which graph would you use to compare the frequencies of different categories?
Scatter plot
Bar graph
Pie chart
Line graph
What is the range of the data set: 10, 15, 20, 25, 30?
20
25
15
30
What is the purpose of a hypothesis test?
The purpose of a hypothesis test is to assess the evidence against a null hypothesis.
To determine the exact value of a population parameter.
To collect data for future experiments.
To prove the null hypothesis is always true.
How do you interpret a box plot?
A box plot shows the distribution of data based on five summary statistics: minimum, first quartile, median, third quartile, and maximum.
A box plot represents data using only the median value.
A box plot is used to display categorical data only.
A box plot only shows the mean of the data.
What is the difference between a sample and a population?
A sample is a random selection of data points from a sample.
A population is always larger than a sample.
A sample is a subset of a population.
A sample includes the entire population.
What is the standard deviation and why is it important?
The standard deviation measures the average of a data set.
The standard deviation is important because it provides insights into the variability of data, helping to understand the distribution and reliability of the data set.
Standard deviation is only relevant for large data sets.
Standard deviation indicates the mean of the data points.
How do you determine if a correlation is positive or negative?
A correlation is positive if one variable decreases while the other increases.
A correlation is positive if both variables increase together; it is negative if one variable increases while the other decreases.
A correlation is negative if both variables decrease together.
A correlation is positive if one variable increases while the other remains constant.
What is a null hypothesis?
A null hypothesis is a statement that assumes no effect or no difference in a statistical test.
A null hypothesis is a claim that there is a strong correlation between two variables.
A null hypothesis is a prediction of the outcome of an experiment.
A null hypothesis is a statement that proves a significant effect exists.
What is the significance of a confidence interval?
The significance of a confidence interval is that it quantifies the uncertainty of an estimate and indicates the reliability of the statistical inference.
It provides the exact value of a parameter.
It measures the average of a dataset.
It eliminates all uncertainty in estimates.
How do you create a frequency distribution table?
Use only one interval for all data
Create a pie chart instead
Collect data, determine value range, choose intervals, count frequencies, create table.
Collect data and analyze trends
What is the difference between qualitative and quantitative data?
Qualitative data is always numeric and measurable.
Qualitative data is descriptive and non-numeric, while quantitative data is numeric and measurable.
Quantitative data is descriptive and non-numeric.
Qualitative data can be easily counted and analyzed statistically.
What does it mean if two variables are independent?
Two variables are independent if the value of one does not influence the value of the other.
Two variables are independent if they have a direct correlation.
Two variables are independent if they are always equal.
Two variables are independent if they are both dependent on a third variable.
How can you visually represent the relationship between two variables?
Use a scatter plot.
Use a pie chart.
Use a line graph.
Use a bar chart.
