Questions and Answers
Which of the following statements about correlation and causation is true?
What is most likely true about children who have lost some baby teeth?
There is a correlation here, and losing baby teeth causes arithmetic skills to improve.
Which data display would be best to use if you want to know if there is a correlation between two variables?
a scatter plot
What does it tell you about the data set if the median and mean scores on a math test were both 72%?
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What do points A, B, and C represent in the box plot?
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Which box plot represents the data set {1,3,5,7,9,11}?
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What is the interquartile range (IQR) of the given data set?
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What is the interquartile range of the data set {23,30,24,28,27,24,26}?
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Which of the following box plots represents a data set with a potential outlier according to the '1.5×IQR' rule?
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What is the standard deviation of the data set {6,8,6,11,8,8,9}?
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Which of the following statements are true about the two data sets where one value is replaced?
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Which of the following statements about the data set are true?
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What does the difference between the median high and median low temperatures indicate?
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Which statements are true about Data Set A and Data Set B?
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What is the probability that a randomly selected respondent who believes that penguins are threatened 'a great deal' is female?
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What is the relative frequency of white chocolate candies with coconut?
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What percent of the sophomores surveyed chose the ability to fly?
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What percent of the students speak primarily Spanish?
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Study Notes
Correlation and Causation
- Causation indicates a relationship where one event causes another, and it always implies correlation.
- Correlation among variables does not confirm causation, evident in children’s arithmetic skills related to losing baby teeth.
Data Displays
- A scatter plot is the optimal choice for assessing the correlation between two variables.
Statistics and Data Analysis
- A median score equal to the mean indicates a symmetrical data set.
- In box plots, Point B represents the median, Point A is the first quartile (Q1), and Point C represents the third quartile (Q3).
Box Plots and Data Sets
- Identifying box plots for specific data sets is crucial for visualizing data distribution.
- The interquartile range (IQR) is a vital statistic; for the data set {1,3,5,7,9,11}, the IQR is not explicitly provided.
Standard Deviation
- Standard deviation measures the dispersion within a data set; for {6,8,6,11,8,8,9}, it calculates to 1.7.
Comparisons of Data Sets
- Replacing a data point can significantly alter statistics: Median and mean of Data Set 2 change compared to Data Set 1 with one value replaced.
- Standard deviation can indicate variability; Data Set 2 had a larger standard deviation than Data Set 1.
Distribution Characteristics
- Characteristics of a data set can include skewness and the presence of outliers, as noted in example data sets.
- An IQR of 10 was observed, indicating the spread within the middle 50% of the data.
Temperature Analysis
- The analysis of high and low temperatures shows a 15°F difference in medians alongside differing IQRs.
Data Set Comparisons
- Medians and means can differ between data sets, and skewness can affect their interpretation.
- Data Set A has a higher median than Data Set B, while B is confirmed to be skewed.
Survey Results
- Frequency tables allow for quantifying categorical responses; specific counts were noted (e.g., 13 and 15 in specific categories).
- The probability of a respondent being female among those believing penguins are highly threatened stood at 62%.
Relative Frequencies and Preferences
- Relative frequency representations indicate how often certain outcomes occur compared to total occurrences, such as 40% for white chocolate candies with coconut.
- Survey data revealed preferences among students; 51% of sophomores chose the ability to fly, while 44% primarily spoke Spanish.
Studying That Suits You
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Description
Prepare for your Algebra 1b Unit 5 Exam with these flashcards that cover key concepts, including correlation and causation. Each card presents a statement and its corresponding definition, helping to sharpen your understanding of mathematical relationships.
