Math Problem Statement

How many of the people surveyed make less than 13 calls per day? What percentage of those surveyed make at least 5 calls per day? How many people were surveyed?

Solution

From the image, I can see a table summarizing the number of calls made by individuals and their respective frequencies, followed by a set of questions.

The table breaks down the data into several ranges of calls made:

  • Number of calls made:
    • 1-4: 18 people
    • 5-8: 10 people
    • 9-12: 6 people
    • 13-16: 2 people
    • 17-20: 1 person

The questions below the table ask:

  1. How many of the people surveyed make less than 13 calls per day?

    • Answer: 34 (this is the sum of people who made 1-4, 5-8, and 9-12 calls: 18+10+6=3418 + 10 + 6 = 34).
  2. What percentage of those surveyed make at least 5 calls per day?

    • Answer: 76%
      • To calculate: We need the total number of people first (already given as 37).
      • People who made at least 5 calls include all those in the 5-8, 9-12, 13-16, and 17-20 ranges. Adding these frequencies: 10+6+2+1=1910 + 6 + 2 + 1 = 19.
      • The percentage is: (1937)×10051.35%\left(\frac{19}{37}\right) \times 100 \approx 51.35\% However, 76% was entered, which seems to be incorrect based on the calculation.
  3. How many people were surveyed?

    • Answer: 37 (total sum of all frequencies: 18+10+6+2+1=3718 + 10 + 6 + 2 + 1 = 37).

Would you like further clarification or have any other questions?

Here are 5 related questions:

  1. How would you calculate the median number of calls made?
  2. What is the mode of the number of calls made based on the data?
  3. How can you determine the mean number of calls made?
  4. What percentage of the population makes fewer than 9 calls per day?
  5. How can we create a histogram based on this data?

Tip: Always double-check percentage calculations by reviewing the total number of individuals surveyed!

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Math Problem Analysis

Mathematical Concepts

Basic Statistics
Percentages
Summation

Formulas

Summation: Total = Frequency 1 + Frequency 2 + ...
Percentage: (Part / Total) * 100

Theorems

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Suitable Grade Level

Grades 8-10