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

SectionWeightObjectives
Descriptive Statistics25%- Measures of center: mean, median, mode
- Graphical displays: histograms, boxplots, scatterplots
- Measures of spread: range, IQR, variance, standard deviation
- Types of data: categorical, discrete, continuous
Basic Numeracy & Algebra15%- Linear equations, inequalities, graphing functions
- Arithmetic operations, fractions, decimals, percentages
- Exponents, roots, and basic formulas
Correlation & Regression20%- Predictions and limitations of regression
- Correlation coefficient and interpretation
- Simple linear regression models
- Interpreting slope, intercept, and R-squared
Probability Concepts20%- Conditional probability and Venn diagrams
- Normal distribution and empirical rule
- Probability rules, independent and dependent events
- Discrete and continuous probability distributions
Inferential Statistics & Study Design20%- Observational studies vs experiments
- Confidence intervals for means/proportions
- Hypothesis testing framework and interpretation
- Sampling methods and bias

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최신 Courses and Certificates Applied-Probability-and-Statistics 무료샘플문제 (Q10-Q15):

질문 # 10
A researcher has collected information on students from a school. The researcher wants to display the ethnic groups represented in the school.
Which pair of graphs both display data in this manner?

정답:D

설명:
Ethnic group is a categorical variable because it classifies students into named groups rather than measuring a numerical quantity. Categorical data are commonly displayed with bar graphs or pie charts. A bar graph shows the frequency or relative frequency of each category using separate bars, making it easy to compare group sizes. A pie chart shows how the whole student population is divided among categories, making it useful for displaying proportions or percentages. Therefore, the correct pair is bar graph and pie chart. A box plot is used for quantitative data and summarizes values using quartiles and a median, so it is not appropriate for ethnic categories. A line graph is typically used to show change over time or ordered numerical trends. A histogram is used for distributions of quantitative data grouped into intervals, not named categories. Since the goal is to display category membership, both selected graphs must support categorical frequency or percentage displays. References/topics from the Study Guide: categorical data displays, bar graphs, pie charts, relative frequency.


질문 # 11
Probability it does NOT rain = 1 # 0.25 = ?

정답:D


질문 # 12
Z-score negative #

정답:A

설명:
A z-score measures how many standard deviations a data value is from the mean. The formula is z = (x # #)/#, where x is the observed value, # is the mean, and # is the standard deviation. Since standard deviation is positive, the sign of the z-score depends on the numerator, x # #. If x is less than the mean, then x # # is negative, producing a negative z-score. Therefore, a negative z-score indicates that the observed value is below the mean. A positive z-score indicates a value above the mean, while a z-score of 0 indicates a value exactly equal to the mean. Option D is incorrect because the sign of the z-score gives direct positional information relative to the mean. Study Guide references/topics: z-scores, standard normal distribution, mean, standard deviation.


질문 # 13
Correlation coefficient r = #0.5 #

정답:B

설명:
The correlation coefficient r describes the direction and strength of a linear relationship between two quantitative variables. Its values range from #1 to +1. A negative value indicates that as one variable increases, the other tends to decrease. Since r = #0.5, the direction is negative. Its magnitude, 0.5, is not close enough to zero to indicate no relationship, but it is also not close enough to #1 to represent an extremely strong relationship. Therefore, the best description is a moderate negative linear relationship. Option B is incorrect because the sign is negative, not positive. Option C is incorrect for both direction and strength.
Option D would be appropriate only when r is near 0, indicating little or no linear association. A scatterplot with r = #0.5 would generally show a downward trend, but with noticeable scatter around the trend. Study Guide references/topics: correlation coefficient, negative association, scatterplots, linear relationship strength.


질문 # 14
A golf course is attempting to correlate golfing handicap with math SAT scores among local high school golfers. Ignoring potential confounding variables such as socioeconomic status, the golf course creates the following scatterplot.

What is the estimated value of r, the correlation coefficient, between these variables?

정답:A

설명:
The correlation coefficient r measures the direction and strength of a linear relationship between two quantitative variables. In the scatterplot, the points are widely dispersed, so the relationship is weak rather than strong. The fitted trend line slopes slightly downward, indicating a negative association: as golf handicap increases, math SAT score tends to decrease slightly. Because the pattern is weak and negative, r should be close to 0 but less than 0. The best match is #0.10. Option A, #0.63, would represent a moderately strong negative linear relationship, which would require the points to cluster more tightly around a downward- sloping line. Option C, 0.10, has the right weak magnitude but the wrong direction because it is positive.
Option D, 0.63, is both too strong and positive. The visual evidence supports only a very slight negative linear association. References/topics from the Study Guide: scatterplots, correlation coefficient, positive and negative association, strength of linear relationship.


질문 # 15
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