Ungrouped Data of Quartiles, Deciles & Percentiles

Given the data 100, 300, 500, 200, 400, what is the value of the second quartile?

What is the lower quartile in following set of scores for a 15-item test:

13, 11, 10, 12, 14, 9, 11, 8, 11, 15, and 10?

In the set of scores: 14, 17, 10, 22, 19, 24, 8, 12, and 19, what is the 90^th percentile?

Using linear interpolation, what is the 60th percentile in the following average grade of 10 students:

86, 92, 91, 78, 82, 90, 85, 88, 86, 87?

Using the given data in the previous item 86, 92, 91, 78, 82, 90, 85, 88, 86, 87, what can you conclude if your average is on the 4th decile using linear interpolation?

• An average of 87 is below the 4th decile.

• 40% of the students have an average grade of 86.4 and above.

• 60% of the students have an average grade of 86.4 and above.

• 60% of the students have an average grade of 86 and above.

The lower quartile of the ages of 250 grade 7 students is 12 years. Which of the statements is TRUE?

• Most of the students are below 12 years old.

• Twenty-five percent of the students are below 12 years old.

• Seventy-five percent of the students are 12 years old and above.

• One hundred eighty-seven of the students are above 12 years old.

Masha passed a 100-item test, her score is the upper quartile. What does it imply?

• Masha got at least 50 items correctly.

• Masha was able to answer all the questions.

• The passing score of the test is 75 points and above.

• Masha belongs to the 25% of students that passed the test.

 In a survey conducted among 5 students about the number of hours they study per week, the following data on the right was obtained:

                Which of the following statements demonstrates a relational understanding of mean, median, and mode in relation to the given data?

I. Lance’s study time is the mode.

II. The mean study time of the five students is 11 hours.

III. Charles’ study time is equal to the median of the given data.

IV. Russel spent more time than the average study time of the other four students.

•  I, II and III only

• II and III only

• III only

• All the statements

Based on the cases below, determine which appropriate measures of position or other statistical method is to be used:

Daily Meal Allowance for learners in a school to be used by the canteen manager to plan for a daily menu.

• Mean

• Median

• Mode

Based on the cases below, determine which appropriate measures of position or other statistical method is to be used:

Answers of learners on the survey whether they prefer something sweet/salty/bland taste for their snacks. This will be used by the canteen manager on what snack to prepare.

• Mean

• Median

• Mode