Math Problem Solver

A study was conducted among a group of 100 college students to understand their weekly

study habits. Each student was asked how many hours they dedicated to studying and

coursework outside of class over the past week. The dataset represents the number of study

hours reported by each student.

This information is valuable for gaining insights into students' study patterns,

understanding the average amount of time students devote to self-study, and identifying

any trends in the distribution of study hours. The data can help us explore if most students

are following recommended study hours or if there are significant variations across the

group. This could further assist in academic support planning, enabling the college to

encourage effective study habits:

25, 18, 22, 34, 28, 17, 24, 30, 21, 19, 27, 35, 16, 29, 20, 18, 24, 26, 23, 32,

22, 28, 18, 33, 30, 21, 20, 19, 25, 17, 26, 27, 29, 24, 31, 18, 32, 19, 20, 30,

23, 27, 33, 16, 25, 28, 31, 22, 21, 34, 29, 25, 24, 30, 19, 20, 17, 23, 21, 35,

18, 22, 19, 16, 32, 27, 33, 26, 21, 24, 25, 29, 30, 19, 20, 28, 22, 23, 34, 17,

20, 31, 19, 26, 21, 18, 24, 27, 25, 30, 32, 21, 33, 18, 28, 29, 23, 19, 31, 20

Questions

1. Frequency Distribution Table

• Construct a frequency distribution table with an interval of 5 (e.g., 15-20, 20-25,

etc.) using the dataset above.

2. Graphical Representation

Using the frequency distribution table from Question 1, create the following:

• A histogram.

• An ogive curve (cumulative frequency curve).

3. Measures of Central Tendency

Calculate the following using the frequency distribution table:

• Using the ogive curve from question 2, find the median graphically.

• Mode.

4. Quartiles, Deciles and Percentiles

Calculate and interpret the following using the frequency distribution table:

• First quartile.

• 8

th decile.

• 70

th percentile