D4 Shape and Box And Whisker Plot

Front

What does it mean if data is skewed left?

Back

If data is skewed left, it means that the left tail of the distribution is longer or fatter than the right tail. This indicates that there are a few lower values that are pulling the mean down.

Front

What does it mean if data is skewed right?

Back

If data is skewed right, it means that the right tail of the distribution is longer or fatter than the left tail. This indicates that there are a few higher values that are pulling the mean up.

Front

What is a Box and Whisker Plot?

Back

A Box and Whisker Plot is a graphical representation of data that shows the distribution through their quartiles. It displays the minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

Front

What is the median?

Back

The median is the middle value of a data set when it is ordered from least to greatest. If there is an even number of observations, the median is the average of the two middle numbers.

Front

What is the interquartile range (IQR)?

Back

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

Front

How do you find the IQR?

Back

To find the IQR, subtract the first quartile (Q1) from the third quartile (Q3): IQR = Q3 - Q1.

Front

What is the best measure of center for skewed data?

Back

The median is the best measure of center for skewed data because it is not affected by extreme values.

Front

What is the best measure of center for symmetric data?

Back

The mean is the best measure of center for symmetric data because it takes all values into account.

Front

What does it mean if data is symmetric?

Back

If data is symmetric, it means that the left and right sides of the distribution are mirror images of each other, indicating that the mean and median are approximately equal.

Front

What is a quartile?

Back

A quartile is a type of quantile that divides a data set into four equal parts. The first quartile (Q1) is the median of the lower half, the second quartile (Q2) is the median, and the third quartile (Q3) is the median of the upper half.