Math Problem Statement

Help me to step by steps frequency distribution table ( | No. | Name | Age | Program | Hours Spent | |-----|-------------------------------|-----|------------------|--------------| | 1 | Adriane Aranda | 21 | CS | 1 HRS | | 2 | Alexis | 20 | BS Criminology | 7 HRS | | 3 | Angel | 26 | BSHM | 9 HRS | | 4 | Angel Bel | 19 | BS Criminology | 12 HRS | | 5 | Angelica | 23 | BS Psychology | 9 HRS | | 6 | Basrawi Rasuman | 20 | BS IT | 4 HRS | | 7 | Caldamo Warlito | 22 | CSCS | 6 HRS | | 8 | Catas Gian | 19 | CSCS | 12 HRS | | 9 | Christian James Cabactulan | 20 | BS Psychology | 5 HRS | | 10 | Daniela | 22 | BSBM | 16 HRS | | 11 | Dave Vargas | 22 | BS IT | 8 HRS | | 12 | Devieth Jushua Anto | 24 | Unknown | 3 HRS | | 13 | Elijah Alcantara | 19 | BS IT | 12 HRS | | 14 | Estafhano Villafuerte | 19 | BS IT | 5 HRS | | 15 | Frial Isabel | 19 | BS Psychology | 12 HRS | | 16 | Gilbert | 24 | BS IT | 12 HRS | | 17 | Irish | 22 | BSHM | 9 HRS | | 18 | Jake Casundo | 22 | BS IT | 10 HRS | | 19 | Jade Habagat | 18 | BS Criminology | 7 HRS | | 20 | Jessa Tortal | 19 | BS Psychology | 4 HRS | | 21 | JM | 23 | BSCS | 7 HRS | | 22 | John | 18 | BS Criminology | 17 HRS | | 23 | Jeremy | 18 | BS Criminology | 3 HRS | | 24 | Karl | 22 | BS Psychology | 8 HRS | | 25 | Lacangan | 18 | BS Criminology | 12 HRS |

| 27 | Maica | 22 | BSHM | 3 HRS | | 28 | Marc | 23 | BS IT | 4 HRS | | 29 | Maisy | 22 | BSBM | 7 HRS | | 30 | Mark Angelo Sebatis | 18 | BS Criminology | 4 HRS | | 31 | Renzo Malto | 18 | BS Criminology | 4 HRS |

Solution

To create a frequency distribution table, we need to organize the data into meaningful intervals and then count how many times each data point (in this case, Age or Hours Spent) appears.

Step-by-Step Process for Frequency Distribution Table:

  1. Organize the data: We can create frequency distribution tables for both the Age and the Hours Spent columns separately. First, we will look at the Age and then at the Hours Spent column.

  2. Set intervals:

    • For Age, we can set intervals (e.g., 18–19, 20–21, 22–23, etc.).
    • For Hours Spent, we can group hours into ranges like (0-3 hours, 4-7 hours, 8-12 hours, etc.).

  3. Count the frequency: Count how many values fall into each interval.

Let's create the frequency distribution table for Age first:

Frequency Distribution for Age:

Age GroupFrequency
18 - 199
20 - 217
22 - 237
24 - 252

Explanation:

  • The 18–19 group has 9 individuals: Angel (19), Angel Bel (19), Catas Gian (19), Estafhano Villafuerte (19), Frial Isabel (19), Jade Habagat (18), Jeremy (18), John (18), Lacangan (18).
  • The 20–21 group has 7 individuals: Alexis (20), Basrawi Rasuman (20), Christian James Cabactulan (20), Basrawi Rasuman (20), Jake Casundo (22), etc.

Next, let's create the frequency distribution for Hours Spent:

Frequency Distribution for Hours Spent:

Hours RangeFrequency
0 - 3 hrs5
4 - 7 hrs9
8 - 12 hrs7
13 - 17 hrs4

Explanation:

  • The 0–3 hours group: Individuals who spent 3 hours (Devieth Jushua Anto, Jeremy, Maica, etc.).
  • The 4–7 hours group: Individuals who spent 4–7 hours, such as Basrawi Rasuman (4 hours), Jessa Tortal (4 hours), etc.
  • The 8–12 hours group: Several people in this group, like Angel (9 hours), Angelica (9 hours), etc.
  • The 13–17 hours group: People who spent 12 or more hours.

Let me know if you want further breakdowns or calculations, or if there's something specific you’d like to explore about these frequencies!

Further Questions to Explore:

  1. How would the frequencies change if we used different intervals for Age (e.g., 18–22, 23–25)?
  2. How can we use this frequency distribution table to determine the mode of the dataset?
  3. Can we calculate the mean or median of the Age or Hours Spent columns?
  4. What are the advantages of grouping data into intervals for a frequency table?
  5. How would the frequency distribution change if we included more data points?

Tip: When grouping data, make sure your intervals don’t overlap and cover the full range of your data points.

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Math Problem Analysis

Mathematical Concepts

Frequency Distribution
Data Grouping
Statistics

Formulas

Frequency Distribution Formula

Theorems

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Suitable Grade Level

Grades 8-10

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