Math Problem Statement
help solve the blanks
Solution
From the data shown in the image, let's construct the frequency () and relative frequency () distributions step-by-step.
Step 1: Identify the Data Set
The dataset provided in the table is:
Step 2: Calculate Frequency ()
Count how many times each number occurs:
- : Appears times.
- : Appears times.
- : Appears times.
- : Appears times.
- : Appears times.
- : Appears time.
So, the frequencies are:
Step 3: Calculate Relative Frequency ()
The relative frequency is the frequency divided by the total number of observations ():
- For : (23.3%).
- For : (20.0%).
- For : (20.0%).
- For : (20.0%).
- For : (13.3%).
- For : (3.3%).
Final Table:
Number | Frequency | Relative Frequency |
---|---|---|
0 | 7 | 23.3% |
1 | 6 | 20.0% |
2 | 6 | 20.0% |
3 | 6 | 20.0% |
4 | 4 | 13.3% |
5 | 1 | 3.3% |
Would you like me to assist with parts (b) or (c) from the problem? Let me know!
Related Questions:
- How can this data be represented using a pie chart?
- What is the cumulative frequency distribution for these responses?
- What is the median number of activities completed by the respondents?
- How can this data be used to calculate the mean number of activities completed?
- What is the variance and standard deviation for this dataset?
Tip:
To double-check frequency counts, ensure that the total of all frequencies equals the total dataset size ().
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Math Problem Analysis
Mathematical Concepts
Frequency Distribution
Relative Frequency
Statistics
Formulas
Relative Frequency = Frequency / Total Observations
Sum of all Frequencies = Total Observations
Theorems
Basic Frequency Distribution and Relative Frequency Calculation
Suitable Grade Level
Grades 6-9
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