Measures of position

Calculate the first quartile (Q1) from the following data set: 10, 15, 20, 25, 30, 35, 40, 45, 50

• 22.5

• 60

• 12.5

• 17.5

Interpret the third quartile (Q3) in the context of a test score distribution.

• The third quartile (Q3) is the score that separates the highest 50% of scores from the rest.

• The third quartile (Q3) is the score that separates the highest 25% of scores from the rest.

• The third quartile (Q3) is the score that separates the middle 50% of scores from the rest.

• The third quartile (Q3) is the score that separates the lowest 25% of scores from the rest.

What does the 75th percentile represent in a dataset of student heights?

• The 75th percentile represents the average height of the students.

• The 75th percentile represents the height above which 75% of the student heights fall.

• The 75th percentile represents the height of the tallest student in the dataset.

• The 75th percentile represents the height below which 75% of the student heights fall.

Find the second decile from the data set: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50

• 10

• 12.5

• 30

• 22.5

Explain the significance of the 90th percentile in a salary distribution.

• The 90th percentile indicates the average salary in the distribution.

• The 90th percentile is irrelevant in salary analysis.

• The 90th percentile represents the highest salary in the distribution.

• The 90th percentile signifies the salary below which 90% of the salaries fall in a distribution.

If the 40th percentile of a dataset is 25, what does this indicate?

• 25% of the dataset values are less than 40.

• 40% of the dataset values are less than 25.

• The dataset has a mean of 25.

• The dataset has a standard deviation of 25.

Calculate the first quartile (Q1) from the following data set: 12, 14, 16, 18, 20, 22, 24, 26, 28

• 17

• 13

• 25

• 15

In a dataset of exam scores, how would you interpret the second quartile (Q2)?

• The second quartile (Q2) is the maximum value in the dataset.

• The second quartile (Q2) is the minimum value in the dataset.

• The second quartile (Q2) is the mean of the dataset.

• The second quartile (Q2) is the median of the dataset.

What is the 60th percentile of a dataset with values: 30, 35, 40, 45, 50, 55, 60, 65, 70

• 50

• 60

• 55

• 65

Determine the fifth decile from the data set: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

• 17

• 13

• 11

• 9