MEASURES OF POSITION: QUARTILE, DECILE PERCENTILE

Calculate the first quartile (Q1) of the given data set: 10, 15, 20, 25, 30, 35, 40

• 15

• 12

• 18

• 22

Interpret the third quartile (Q3) value in the data set: 5, 10, 15, 20, 25, 30, 35, 40, 45

• 30

• 40

• 25

• 35

Find the 5th decile value in the data set: 12, 14, 16, 18, 20, 22, 24, 26, 28, 30

• 22

• 20

• 26

• 18

Explain the significance of the 7th decile value in a data set

• The 7th decile value is irrelevant and can be ignored

• The 7th decile value is the highest value in the data set

• The 7th decile value represents the median of the data set

• The 7th decile value is significant as it indicates the point below which 70% of the data falls.

Calculate the 25th percentile of the data set: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20

• 5.5

• 7.5

• 3.5

• 9.5

What does the 90th percentile represent in a data set?

• The 90th percentile represents the value below which 90% of the observations fall.

• The 90th percentile represents the maximum value in the data set.

• The 90th percentile represents the value above which 90% of the observations fall.

• The 90th percentile represents the median value in the data set.

Determine the second quartile (median) of the data set: 3, 6, 9, 12, 15, 18, 21, 24, 27

• 25

• 10

• 20

• 15

How are quartiles used to identify outliers in a data set?

• Quartiles divide the data set into four equal parts, and outliers are identified based on their distance from the quartiles.

• Quartiles divide the data set into three equal parts

• Outliers are identified based on their proximity to the median

• Quartiles are used to calculate the mean of the data set

Compute the 4th decile value in the data set: 7, 14, 21, 28, 35, 42, 49, 56, 63

• 45.5

• 38.5

• 27.5

• 31.5

Discuss the importance of percentiles in standardized testing

• Percentiles are used to determine absolute performance levels

• Percentiles in standardized testing are important for comparing individual scores to a larger group, understanding relative standing, and making informed decisions.

• Percentiles do not provide insights into relative standing

• Percentiles in standardized testing have no relevance to individual scores