Alg IIb - Obj 79 Box and whisker plots

Front

What is a box and whisker plot?

Back

A graphical representation of data that shows the distribution through their quartiles, highlighting the median, lower quartile, upper quartile, and potential outliers.

Front

What does the median represent in a data set?

Back

The median is the middle value when the data set is ordered from least to greatest.

Front

How do you find the interquartile range (IQR)?

Back

IQR is calculated by subtracting the first quartile (Q1) from the third quartile (Q3): IQR = Q3 - Q1.

Front

What does the lower quartile (Q1) represent?

Back

Q1 is the median of the lower half of the data set, representing the 25th percentile.

Front

What does the upper quartile (Q3) represent?

Back

Q3 is the median of the upper half of the data set, representing the 75th percentile.

Front

What is the purpose of whiskers in a box and whisker plot?

Back

Whiskers extend from the box to the smallest and largest values that are not outliers, showing the range of the data.

Front

What is an outlier in a data set?

Back

An outlier is a data point that is significantly higher or lower than the other values in the data set.

Front

How do you determine if a value is an outlier?

Back

A common method is to use the 1.5 IQR rule: any value below Q1 - 1.5*IQR or above Q3 + 1.5*IQR is considered an outlier.

Front

What percentage of data lies within the interquartile range?

Back

50% of the data lies within the interquartile range (between Q1 and Q3).

Front

If the median of a data set is 20, what does this indicate?

Back

This indicates that half of the data values are below 20 and half are above 20.