Gr 11 Math Ch 11: Symmetric and Skewed Data
18 Questions
0 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

Which of the following is a characteristic of a symmetric distribution?

  • Mean is greater than the median
  • The median is closer to the third quartile than to the first quartile
  • The left and right tails are balanced (correct)
  • The right tail is longer than the left tail

What can be inferred about a distribution with a longer right tail?

  • It is a left skewed distribution
  • It is a symmetric distribution
  • It is a right skewed distribution (correct)
  • It is impossible to determine without more information

In a box-and-whisker plot, what indicates a right skewed distribution?

  • The median is equal to the third quartile
  • The median is closer to the third quartile than to the first quartile
  • The median is closer to the first quartile than to the third quartile (correct)
  • The median is halfway between the first and third quartiles

What is true about the mean and median in a left skewed distribution?

<p>The mean is less than the median (A)</p> Signup and view all the answers

Which of the following is NOT a characteristic of a symmetric distribution?

<p>The right tail is longer than the left tail (B)</p> Signup and view all the answers

What can be inferred about a distribution with a mean that is less than the median?

<p>It is a left skewed distribution (A)</p> Signup and view all the answers

What is the primary difference between a right skewed distribution and a left skewed distribution?

<p>The direction of the skew (B)</p> Signup and view all the answers

What is a characteristic of a symmetric distribution in terms of the box-and-whisker plot?

<p>The median is halfway between the first and third quartiles (A)</p> Signup and view all the answers

What is the relationship between the mean and median in a right skewed distribution?

<p>Mean is greater than the median (B)</p> Signup and view all the answers

What is a characteristic of a left skewed distribution?

<p>The mean is less than the median (D)</p> Signup and view all the answers

What is the primary reason why the mean and median are not equal in a skewed distribution?

<p>The data is not symmetric (C)</p> Signup and view all the answers

What is a characteristic of a symmetric distribution in terms of the tails?

<p>The left and right tails are balanced (B)</p> Signup and view all the answers

Which of the following statements about a distribution is true?

<p>A symmetric distribution always has a median equal to the mean. (D)</p> Signup and view all the answers

What is a common feature of both right and left skewed distributions?

<p>The mean and median are not equal. (D)</p> Signup and view all the answers

Which of the following statements is false about symmetric distributions?

<p>The distribution is always bell-shaped. (B)</p> Signup and view all the answers

What can be inferred about a distribution with a median that is closer to the third quartile than the first quartile?

<p>The distribution is left skewed. (D)</p> Signup and view all the answers

Which of the following statements about skewed distributions is true?

<p>The direction of skewness is determined by the length of the tails. (B)</p> Signup and view all the answers

What is a characteristic of a distribution with a median that is closer to the first quartile than the third quartile?

<p>The distribution is right skewed. (B)</p> Signup and view all the answers

Flashcards are hidden until you start studying

More Like This

Statistics in Mathematics Quiz
10 questions
Statistics: Frequency Distributions
10 questions
Statistics and Probability
10 questions

Statistics and Probability

StraightforwardFeynman avatar
StraightforwardFeynman
Use Quizgecko on...
Browser
Browser