Skew, Shape, & Outliers

Front

What is skewness in data distribution?

Back

Skewness refers to the asymmetry of the distribution of values in a dataset. A distribution can be skewed left (negatively skewed) or skewed right (positively skewed).

Front

What is an outlier?

Back

An outlier is a data value that is significantly higher or lower than the other values in a dataset, which can affect the mean and other statistical measures.

Front

What measure of central tendency is best when there are outliers?

Back

The median is the best measure of central tendency when there are outliers, as it is less affected by extreme values.

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Front

What does a box plot represent?

Back

A box plot visually represents the distribution of a dataset, showing the median, quartiles, and potential outliers.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does it mean if the mean is less than the median?

Back

If the mean is less than the median, the data distribution is likely skewed left (negatively skewed).

Tags

CCSS.6.SP.B.5D

CCSS.HSS.ID.A.2

Front

What is the mode in a dataset?

Back

The mode is the value that appears most frequently in a dataset.

Tags

CCSS.6.SP.B.5C

Front

How can you identify skewness in a box plot?

Back

Skewness can be identified in a box plot by the position of the median line within the box and the lengths of the whiskers.

Front

What is a symmetrical distribution?

Back

A symmetrical distribution is one where the left and right sides of the distribution are mirror images of each other, and the mean, median, and mode are all equal.

Front

What does a longer whisker in a box plot indicate?

Back

A longer whisker in a box plot indicates greater variability or spread in the data.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is the difference between the first quartile (Q1) and the third quartile (Q3) and measures the spread of the middle 50% of the data.

Tags

CCSS.6.SP.B.5C