Exercises
Build confidence in essential statistics concepts with this Statistics Basics simulation quiz. Answer questions covering measures of central tendency, including mean and median; the effect of outliers; range and standard deviation; independent-event probability; samples and data sets; and choosing charts for categorical data. You will also review scatter plots and the normal distribution’s one-standard-deviation rule. Ideal for students and beginners who want to check their understanding of foundational data analysis vocabulary and calculations.
Answer the questions below and check the explanation for each answer.
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The mean is calculated by summing all the numbers and then dividing by the number of values. Thus, (3 + 7 + 7 + 19) / 4 = 36 / 4 = 9.5.
The mean is affected by outliers because it involves all data values in its calculation, unlike the median which only considers the middle values.
For independent events, the probability of both occurring together is calculated by multiplying their individual probabilities: P(A and B) = P(A) * P(B).
The range is calculated as the difference between the maximum and minimum values in the dataset: 34 - 12 = 22.
The median is the middle value of an ordered dataset. In this set, 12 is the middle number, so it is the median.
A bar chart is ideal for displaying categorical data because it uses bars to show the frequency or count of each category, allowing for easy comparisons.
Standard deviation is a measure of how spread out the values in a data set are around the mean. It indicates the extent of variability or dispersion.
A sample is a subset of the population, selected for analysis in statistics to infer the characteristics of the whole population.
A scatter plot is used to display the relationship between two continuous variables, showing how one variable is affected by the other.
Approximately 68% of data values fall within one standard deviation of the mean in a normal distribution, according to the empirical rule.
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