Understanding Data Set Variability

The video tutorial covers the concept of quartiles and interquartile range, explaining how they are used to describe data distributions. It includes hands-on practice for finding quartiles and calculating the interquartile range. The tutorial also demonstrates using dot plots to determine the five number summary and discusses practical applications of these concepts.

What is the primary difference between data set A and data set B in terms of distribution?

• Data set A is more spread out than data set B.

• Data set A has a higher mean than data set B.

• Data set B has a wider range of ages than data set A.

• Data set B is more clustered than data set A.

How is the median of a data set determined?

• By finding the average of all data points.

• By identifying the middle value when data is ordered.

• By calculating the difference between the maximum and minimum values.

• By summing all data points and dividing by the number of points.

What does the 25th percentile represent in a data set?

• The value below which 25% of the data falls.

• The average value of the data set.

• The value above which 25% of the data falls.

• The middle value of the data set.

Which of the following is NOT part of the five-number summary?

• Maximum

• Median

• Mean

• Minimum

What does a larger interquartile range indicate about a data set?

• The data set is more clustered.

• The data set has more variability.

• The data set has a smaller range.

• The data set has less variability.

How is the range of a data set calculated?

• By dividing the maximum value by the minimum value.

• By finding the average of the maximum and minimum values.

• By adding the maximum and minimum values.

• By subtracting the minimum value from the maximum value.

What fraction of data values are between the first and third quartiles?

• 100%

• 75%

• 50%

• 25%

In a data set of 20 numbers, how many values are between the first quartile and the median?

• 5

• 10

• 15

• 20

If a data set has a minimum value of 4 and a maximum value of 22, what is the range?

• 22

• 26

• 18

• 4

Which data set has less variability if one has an IQR of 5 and the other has an IQR of 15?

• The data set with an IQR of 5

• The data set with an IQR of 15

• Both have the same variability

• Cannot be determined