Statistics Quiz on Categorical Variables and Scores
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Questions and Answers

Below are some of the variables from a survey conducted by the Canada Post. Which of these variables is categorical?

  • Zip Code (correct)
  • Household income
  • Age of respondent
  • Number of persons in household
  • All of the above

What is the median of the following sample data: 10, 35, 5, 10, 55, 30

  • 20
  • 25
  • 35
  • 15 (correct)
  • 30

Which of the following samples has the smallest standard deviation?

  • They are all the same
  • 101, 102, 103, 104, 105
  • 11, 12, 13, 14, 15 and 1, 2, 3, 4, 5
  • 1, 2, 3, 4, 5 (correct)
  • 11, 12, 13, 14, 15

You must use the scantron sheet at the end of the test to complete the MCQs. You may separate the scantron from the rest of the test. Which of these variables is categorical?

<p>Zip Code (A)</p> Signup and view all the answers

(20 pts) Consider the scores of an Econ/Mgt math class, which follow an approximately normal distribution, N(70, 10). Round your final answers to two decimal places. What score is required to be in the top 10% of students who take this exam?

<p>80</p> Signup and view all the answers

(20 pts) Consider the scores of an Econ/Mgt math class, which follow an approximately normal distribution, N(70, 10). Round your final answers to two decimal places. What score is required to fall between the top 10% and top 25% of students?

<p>74.45</p> Signup and view all the answers

Flashcards

Categorical Variable

A variable whose values can be placed into categories, such as "yes" or "no", or "male" or "female".

Median

The middle value in a dataset when arranged in order from least to greatest.

Standard Deviation

A measure of how spread out the data points are from the mean. A lower standard deviation indicates the data is more clustered around the mean.

Normal Distribution

A normally-shaped distribution curve with mean 'μ' and standard deviation 'σ'.

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Z-Score

The score that corresponds to a given percentile in a normal distribution. A higher z-score indicates a higher value relative to the mean.

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Conditional Probability

The probability of an event occurring given that another event has already occurred.

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Correlation Coefficient (R)

A measure that describes how strongly two variables are related to each other. It ranges from -1 to +1.

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Coefficient of Determination (R Squared)

The square of the correlation coefficient (R). It represents the proportion of variation in the dependent variable that is explained by the independent variable.

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Dependent Variable

The variable whose value is being predicted or explained in a regression analysis.

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Independent Variable

A variable used to predict or explain the value of the dependent variable in a regression analysis.

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Least-Squares Regression Line

A line that best fits the data points in a scatterplot, representing the relationship between two variables.

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Study Notes

Multiple Choice Questions

  • Use the scantron sheet for multiple choice questions (MCQs).
  • You can detach the scantron from the rest of the test.

Question 1

  • Identify the categorical variable from a survey conducted by Canada Post.
  • The correct answer is Zip Code.

Question 2

  • Find the median of the sample data: 10, 35, 5, 10, 55, 30.
  • The median is 20 (after sorting).

Question 3

  • Determine which sample has the smallest standard deviation.
  • The correct answer depends on the calculation for each sample.

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Description

This quiz covers important concepts in statistics, including categorical variables, median calculations, and standard deviation. You'll also analyze normally distributed data related to an Economics/Management math class. Prepare to test your understanding of statistical measures and distributions!

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