Dec 2 B2 BW Measures of Variation Practice

Front

What is the third quartile (Q3) in a data set?

Back

The third quartile (Q3) is the value that separates the highest 25% of the data from the rest. It is the median of the upper half of the data set.

Front

How do you find the median of a data set?

Back

To find the median, arrange the data in ascending order and locate the middle value. If there is an even number of values, the median is the average of the two middle values.

Front

What are measures of variation?

Back

Measures of variation describe how spread out the values in a data set are. Common measures include range, interquartile range (IQR), variance, and standard deviation.

Front

What is the range of a data set?

Back

The range is the difference between the maximum and minimum values in a data set.

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.

Front

How do you calculate the IQR?

Back

To calculate the IQR, first find Q1 and Q3, then subtract Q1 from Q3: IQR = Q3 - Q1.

Front

What is the first quartile (Q1) in a data set?

Back

The first quartile (Q1) is the value that separates the lowest 25% of the data from the rest. It is the median of the lower half of the data set.

Front

What is the difference between Q1 and Q3?

Back

Q1 is the median of the lower half of the data, while Q3 is the median of the upper half. Their difference is the interquartile range (IQR).

Front

What is a box plot?

Back

A box plot is a graphical representation of a data set that shows the minimum, first quartile (Q1), median, third quartile (Q3), and maximum values.

Front

How do you interpret a box plot?

Back

In a box plot, the box represents the interquartile range (IQR), the line inside the box represents the median, and the 'whiskers' extend to the minimum and maximum values.