Measure of Positions

When a distribution is divided into hundred equal parts, each score point that describes the distribution is called a ___.

• Percentile

• Decile

• Quartile

• Median

Which of these fractiles divides the data set into four equal parts?

• Decile

• Median

• Percentile

• Quartile

​ 9, 12, 19, 10, 26, 24, 17, 15, 30, 17, 5, 9, 15, 8, 12

What is the 8th score if the scores are arranged in ascending order?

• 12

• 15

• 17

• 19

If the 3rd decile is found in the 18.4th position, where X18 = 25 and X19 = 30, what is the 3rd decile?

• 22.5

• 26

• 27

• 27.5

9, 12, 19, 10, 26, 24, 17, 15, 30, 17, 5, 9, 15, 8, 12

Solve the Q1 score.

(a)  

Given the scores of 10 students in Mathematics, 7, 8, 10, 11, 11, 12, 12, 13, 13, 15.

Find D8.

• 14

• 15

• 13

• 12

What is the percentile rank of 87?

Given: 70, 75, 80, 86, 87, 91, 94, 95, 98, 98.

• 25^th

• 40^th

• 50^th

• 75^th

Find D6 of the following data: 23, 26, 29, 27, 65, 59, 55, 42, 38, 35.

(a)  

It is the formula in solving the quartile for ungrouped data.

What is the formula for Percentile?

(a)