Math Problem Statement
Complete the frequency distribution using the classes: 10-14, 15-19, 20-24, 25-29, 30-34, 35-39 10, 12, 15, 18, 19, 15, 26 ,34, 25, 36, 39, 37, 26, 24, 25 ,21 ,20 ,10, 16, 18, 25, 34, 12, 15, 24, 38, 32, 25, 24, 16, 18, 19, 34, 38, 26, 22, 20, 10, 30, 16 What percent of the data values fall in the class 20-24?
Solution
Let's first create the frequency distribution table for the given data based on the classes provided:
Classes:
- 10-14
- 15-19
- 20-24
- 25-29
- 30-34
- 35-39
Data:
10, 12, 15, 18, 19, 15, 26, 34, 25, 36, 39, 37, 26, 24, 25, 21, 20, 10, 16, 18, 25, 34, 12, 15, 24, 38, 32, 25, 24, 16, 18, 19, 34, 38, 26, 22, 20, 10, 30, 16
Step 1: Count the frequency for each class.
-
Class 10-14:
Values: 10, 12, 12, 10, 10
Frequency: 5 -
Class 15-19:
Values: 15, 18, 19, 15, 18, 16, 18, 15, 16, 18, 19
Frequency: 11 -
Class 20-24:
Values: 21, 20, 24, 24, 20, 24, 22
Frequency: 7 -
Class 25-29:
Values: 26, 25, 26, 25, 25, 25, 26
Frequency: 7 -
Class 30-34:
Values: 34, 34, 34, 32, 30
Frequency: 5 -
Class 35-39:
Values: 36, 39, 37, 38, 38
Frequency: 5
Step 2: Calculate the total number of data values.
Total frequency = 5 + 11 + 7 + 7 + 5 + 5 = 40
Step 3: Calculate the percentage of data values that fall in the class 20-24.
Answer: 17.5% of the data values fall in the class 20-24.
Do you want more details or have any questions?
Here are 5 related questions:
- What is the relative frequency of the class 15-19?
- How do you calculate the cumulative frequency for these classes?
- What is the mode of the data set?
- Can you construct a histogram based on this frequency distribution?
- What is the mean of the data set?
Tip: When calculating percentages for a specific class, always ensure that the total frequency is accurate to avoid miscalculations.
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Math Problem Analysis
Mathematical Concepts
Statistics
Frequency Distribution
Percentage Calculation
Formulas
-
Theorems
-
Suitable Grade Level
Grades 9-12
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