Range and Interquartile range

Front

What is the definition of Range in statistics?

Back

The Range is the difference between the highest and lowest values in a data set.

Front

How do you calculate the Range?

Back

Range = Maximum value - Minimum value.

Front

What is the definition of Interquartile Range (IQR)?

Back

The IQR is the difference between the first quartile (Q1) and the third quartile (Q3) in a data set.

Front

How do you calculate the IQR?

Back

IQR = Q3 - Q1.

Front

What does Q1 represent in a data set?

Back

Q1 is the first quartile, which is the median of the lower half of the data.

Front

What does Q3 represent in a data set?

Back

Q3 is the third quartile, which is the median of the upper half of the data.

Front

If the data set is 53, 63, 65, 66, 71, 87, what is the Range?

Back

The Range is 34.

Front

If the data set is 53, 63, 65, 66, 71, 87, what is the IQR?

Back

The IQR is 8.

Front

What is the purpose of calculating the Range?

Back

The Range provides a measure of how spread out the values in a data set are.

Front

What is the purpose of calculating the IQR?

Back

The IQR helps to understand the spread of the middle 50% of the data, reducing the effect of outliers.