Gr 11 Math Ch 11: Symmetric and Skewed Data

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?

The mean is less than the median Signup and view all the answers

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

The right tail is longer than the left tail Signup and view all the answers

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

It is a left skewed distribution Signup and view all the answers

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

The direction of the skew Signup and view all the answers

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

The median is halfway between the first and third quartiles Signup and view all the answers

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

Mean is greater than the median Signup and view all the answers

What is a characteristic of a left skewed distribution?

The mean is less than the median Signup and view all the answers

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

The data is not symmetric Signup and view all the answers

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

The left and right tails are balanced Signup and view all the answers

Which of the following statements about a distribution is true?

A symmetric distribution always has a median equal to the mean. Signup and view all the answers

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

The mean and median are not equal. Signup and view all the answers

Which of the following statements is false about symmetric distributions?

The distribution is always bell-shaped. 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?

The distribution is left skewed. Signup and view all the answers

Which of the following statements about skewed distributions is true?

The direction of skewness is determined by the length of the tails. 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?

The distribution is right skewed. Signup and view all the answers