Understanding Interquartile Range

What is the interquartile range (IQR) used to measure in a data set?

• The highest and lowest data points

• The total number of data points

• The spread of the middle 50% of data

• The average of all data points

How is the lower quartile of a data set determined?

• By calculating the difference between the highest and lowest values

• By identifying the median of the lower half of the data

• By averaging the upper and lower quartiles

• By finding the mean of all data points

In a data set, what does the median represent?

• The most frequently occurring value

• The average of all values

• The middle value when data is ordered

• The sum of all values

What is the IQR of a data set with a lower quartile of 3 and an upper quartile of 7.5?

• 5.5

• 10.5

• 4.5

• 3.5

When given a box plot, how can you find the IQR?

• By adding the median to the lower quartile

• By dividing the total range by two

• By subtracting the lower quartile from the upper quartile

• By measuring the length of the whiskers

What does a small IQR indicate about the data set?

• The data is evenly distributed

• The data is spread out over a wide range

• The data is clustered closely together

• The data has a high variance

If a box plot has a long box, what can be inferred about the data?

• The data values are closely packed

• The data is skewed to the left

• The data values are spread far apart

• The data has a small range

What is the significance of the 'middle half' in a box plot?

• It represents the entire data set

• It shows the range of the data

• It highlights the outliers

• It indicates the spread of the middle 50% of data

How does a large IQR affect the interpretation of a data set?

• It shows the data is normally distributed

• It suggests the data is tightly clustered

• It indicates a wide spread of the middle 50% of data

• It means the data has no outliers

What does the term 'whisker' refer to in a box plot?

• The median line

• The interquartile range

• The range of the entire data set

• The lines extending from the quartiles to the minimum and maximum values