Dec 2 B4 BW Measures of Variation Practice

Front

What is the third quartile (Q3)?

Back

The third quartile (Q3) is the median of the upper half of a data set, representing the 75th percentile.

Front

How do you find the first quartile (Q1) of a data set?

Back

To find Q1, arrange the data in ascending order and find the median of the lower half of the data.

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), calculated as IQR = Q3 - Q1.

Front

What is the formula for calculating the range of a data set?

Back

The range is calculated as Range = Maximum value - Minimum value.

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

How do you calculate the first quartile (Q1) from the data set: 7, 0, 10, 4, 20, 2, 11?

Back

First, arrange the data in ascending order: 0, 2, 4, 7, 10, 11, 20. Q1 is the median of the lower half (0, 2, 4), which is 2.

Front

What is the median of a data set?

Back

The median is the middle value when the data is arranged in ascending order. If there is an even number of values, it is the average of the two middle values.

Front

How do you find the interquartile range (IQR) for the data set: 5, 4, 1, 10, 5, 2, 6, 5?

Back

First, arrange the data: 1, 2, 4, 5, 5, 5, 6, 10. Q1 = 3, Q3 = 6. IQR = Q3 - Q1 = 6 - 3 = 3.

Front

What is the second quartile (Q2)?

Back

The second quartile (Q2) is the median of the entire data set, representing the 50th percentile.

Front

What is the difference between range and interquartile range (IQR)?

Back

Range measures the total spread of the data (max - min), while IQR measures the spread of the middle 50% of the data (Q3 - Q1).