Math Problem Solver

Quartiles

Find the first quartile (Q1) of the data set: 5, 8, 12, 14, 18, 20, 25, 28, 30.

Determine the third quartile (Q3) of the following scores: 45, 50, 55, 60, 65, 70, 75, 80, 85, 90.

The ages of 10 students are: 14, 16, 17, 18, 19, 20, 21, 22, 23, 25. Find the Q2

A dataset has the following values: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60. Find Q3

Given the data set 3, 7, 11, 15, 19, 23, 27, 31, find Q1

The following are the weights (in kg) of 12 people: 50, 52, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100. Find Q3.

A set of numbers is arranged in ascending order: 4, 8, 12, 16, 20, 24, 28, 32, 36. Find the first quartile.

The marks of 15 students are: 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80. Find Q1

Deciles

Find the fifth decile (D5) of the dataset: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50.

Determine the first decile (D1) of the following data: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.

The heights of students (in cm) are: 150, 155, 160, 165, 170, 175, 180, 185, 190, 195. Find the eighth decile (D8).

A company recorded the salaries of 12 employees: 20k, 25k, 30k, 35k, 40k, 45k, 50k, 55k, 60k, 65k, 70k, 75k. Find the fourth decile (D4).

The scores of 15 students are: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75. Find D7.

The test scores are: 30, 32, 35, 38, 40, 42, 45, 48, 50, 52. Find the ninth deciles ( D9).

In a school, students’ weights (in kg) are: 40, 45, 50, 55, 60, 65, 70, 75, 80, 85. Find D6 .

A survey recorded the number of books read by 20 students: 2, 3, 5, 6, 7, 8, 10, 12, 15, 18, 20, 22, 25, 28, 30, 32, 35, 38, 40, 42. Find D5.

Percentiles

The test scores of 10 students are: 50, 55, 60, 65, 70, 75, 80, 85, 90, 95. Find the 75th percentile (P75).

The heights (in cm) of 12 students are: 145, 150, 155, 160, 165, 170, 175, 180, 185, 190, 195, 200. Find the 40th percentile (P40).