Math Problem Statement

By the end of 2021, Facebook had many users in India. The following table shows the number of users in different age groups in a town. Construct a bar graph and pie chart using the following data.

Solution

The table provided in the image contains the number of Facebook users in different age groups in a town as follows:

Age GroupNumber of Facebook Users
0-100
10-20100
20-3095
30-4080
40-5075
50-6042

To construct a bar graph, you can:

  1. Draw a vertical axis (Y-axis) representing the number of Facebook users, scaling it appropriately to accommodate values from 0 to 100.
  2. Draw a horizontal axis (X-axis) representing the different age groups (0-10, 10-20, 20-30, etc.).
  3. For each age group, draw a bar that corresponds to the number of users.

For a pie chart, you will need to calculate the percentage each age group represents out of the total number of users (0 + 100 + 95 + 80 + 75 + 42 = 392 users in total).

Here are the percentages:

  • 0-10: 0392×100=0%\frac{0}{392} \times 100 = 0\%
  • 10-20: 100392×10025.51%\frac{100}{392} \times 100 \approx 25.51\%
  • 20-30: 95392×10024.23%\frac{95}{392} \times 100 \approx 24.23\%
  • 30-40: 80392×10020.41%\frac{80}{392} \times 100 \approx 20.41\%
  • 40-50: 75392×10019.13%\frac{75}{392} \times 100 \approx 19.13\%
  • 50-60: 42392×10010.71%\frac{42}{392} \times 100 \approx 10.71\%

You can then plot these percentages on a pie chart.

Would you like more details on how to create the graphs, or any assistance with further calculations?

Here are some follow-up questions to deepen your understanding:

  1. How would you create a histogram using this data?
  2. What type of trend can you identify from the data for users aged 10 to 60?
  3. How would you describe the population of users under 10 years old?
  4. What is the mode age group in terms of the number of Facebook users?
  5. How can you interpret this data to predict the future trends of Facebook usage in different age groups?

Tip: When creating pie charts, ensure that the sum of all percentages equals 100% to avoid calculation errors.

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Math Problem Analysis

Mathematical Concepts

Statistics
Data Representation
Percentage Calculation

Formulas

Percentage = (Part / Total) × 100
Bar Graph construction based on data values

Theorems

None, this is a data interpretation problem

Suitable Grade Level

Grades 6-8