WGU Applied-Probability-and-Statistics Practice Test In Desktop Format

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WGU Applied-Probability-and-Statistics Exam Syllabus Topics:

SectionObjectives
Topic 1: Statistical Inference- Hypothesis testing
  • 1. t-tests and z-tests (basic application)
    • 2. Null and alternative hypotheses
      - Estimation
      • 1. Confidence intervals for means and proportions
        Topic 2: Regression and Correlation- Relationship analysis
        • 1. Correlation coefficient interpretation
          • 2. Simple linear regression basics
            Topic 3: Probability Distributions- Continuous distributions
            • 1. Normal distribution
              • 2. Standard normal and z-scores
                - Discrete distributions
                • 1. Poisson distribution (introductory use cases)
                  • 2. Binomial distribution
                    Topic 4: Descriptive Statistics- Data summarization
                    • 1. Measures of central tendency (mean, median, mode)
                      • 2. Measures of variability (range, variance, standard deviation)
                        - Data visualization
                        • 1. Histograms and frequency distributions
                          • 2. Box plots and interpretation
                            Topic 5: Probability- Fundamental probability concepts
                            • 1. Events and sample spaces
                              • 2. Conditional probability and independence
                                - Probability rules
                                • 1. Bayes’ theorem (introductory level)
                                  • 2. Addition and multiplication rules

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                                    WGU Applied Probability and Statistics (FZO1 C955) Sample Questions (Q58-Q63):

                                    NEW QUESTION # 58
                                    Boxplot shows:

                                    Answer: B

                                    Explanation:
                                    A boxplot summarizes the distribution of a quantitative variable using key positional statistics. It displays the median, first quartile, third quartile, and typically the minimum and maximum non-outlier values. It may also mark outliers separately. The box itself spans from Q1 to Q3, representing the interquartile range, or middle
                                    50% of the data. The line inside the box marks the median. Whiskers extend to values within the non-outlier range, depending on the graphing convention. A boxplot does not primarily show frequency counts; histograms, dot plots, and bar charts are better for frequencies. A scatterplot displays the relationship between two quantitative variables. Probability is not directly displayed by a standard boxplot, although distributional interpretation can be supported by it. The correct answer is therefore median, quartiles, and outliers. Study Guide references/topics: boxplots, five-number summary, quartiles, outliers.


                                    NEW QUESTION # 59
                                    A teacher compares the test scores of two classes using a box plot.

                                    What is true about the median test scores?

                                    Answer: D

                                    Explanation:
                                    A box plot displays the five-number summary, including the median, which is shown by the vertical line inside each box. In the exhibit, the median for Class A is positioned at approximately 65, while the median for Class B is positioned at approximately 80. The difference is therefore 80 # 65 = 15 points. Since Class A's median is lower, the correct interpretation is that the median test score of Class A is 15 points less than that of Class B. This comparison uses a categorical grouping variable, class, and a quantitative response variable, test score. The box plot is appropriate because it allows the distributions of two groups to be compared visually using medians, quartiles, ranges, and potential spread. Options A, B, and D do not match the median locations shown by the center lines in the boxes. References/topics from the Study Guide: box plots, median, five- number summary, comparing distributions.


                                    NEW QUESTION # 60
                                    Which distribution models number of successes in fixed independent trials?

                                    Answer: B

                                    Explanation:
                                    The binomial distribution models the number of successes in a fixed number of independent trials when each trial has only two possible outcomes, usually labeled success and failure, and the probability of success remains constant from trial to trial. These four conditions define the binomial setting: fixed number of trials, independent trials, two outcomes per trial, and constant success probability. Examples include the number of heads in 10 coin flips, the number of defective items in a sample when the defect probability is constant, or the number of students who pass an exam out of a fixed group. The normal distribution describes continuous bell-shaped data, not counts of successes. The Poisson distribution models counts of events occurring over a fixed interval when events occur at a constant average rate. The uniform distribution assigns equal probability across outcomes or intervals. Because the question explicitly states "number of successes" and "fixed independent trials," the correct model is binomial. Study Guide references/topics: binomial distribution, independent trials, success probability, discrete random variables.


                                    NEW QUESTION # 61
                                    The dot plot illustrates the frequency of outdoor games played by students per week.

                                    Which statement is true?

                                    Answer: D

                                    Explanation:
                                    The dot plot shows a distribution centered near 3 days, with substantial frequencies at 2, 3, and 4 days and smaller frequencies at the extremes of 1 and 5 days. This shape is reasonably balanced around the center.
                                    When a distribution is approximately symmetric, the mean and median tend to be close because the lower and higher values balance each other. The median identifies the middle observation after the data are ordered, and the mean represents the balance point of the distribution. Since the tallest stack is near 3 days and the surrounding stacks on 2 and 4 days are comparable, the center of the data is approximately 3 days by both measures. There is no strong skew to pull the mean far above or below the median. Therefore, the best statement is that the mean is almost the same as the median. Options B and C would require clear skew or extreme imbalance, which the dot plot does not show. References/topics from the Study Guide: dot plots, mean, median, distribution shape, symmetry.


                                    NEW QUESTION # 62
                                    A teacher plots the test scores of a class using the box plot.

                                    What is the interquartile range?

                                    Answer: A

                                    Explanation:
                                    The interquartile range, abbreviated IQR, measures the spread of the middle 50% of a data set. In a box plot, the left edge of the box represents the first quartile, Q1, and the right edge of the box represents the third quartile, Q3. The IQR is computed as Q3 # Q1. In the displayed box plot, Q1 is located at 70 points and Q3 is located at approximately 88 points. Therefore, the interquartile range is 88 # 70 = 18 points. The median, shown by the line inside the box, is about 80 points, but the median is not used in the IQR calculation. The whiskers show the approximate minimum and maximum values, but those define the full range, not the interquartile range. The correct answer is 18 points. References/topics from the Study Guide: box plots, quartiles, interquartile range, five-number summary.


                                    NEW QUESTION # 63
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