Statistics Skills Assessment

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.