Math Problem Statement
i want each poin be spesific
Solution
Here are the results for each of the questions:
a. Median number of calls: 59
The median is the middle value in the sorted dataset.
b. First and third quartiles:
- First quartile (Q1): 52
- Third quartile (Q3): 66
These represent the 25th and 75th percentiles, respectively.
c. First decile and ninth decile:
- First decile (D1): 48
- Ninth decile (D9): 70.6
These represent the 10th and 90th percentiles, respectively.
d. 33rd percentile: 54.86
This is the value below which 33% of the data falls.
Would you like further details or explanations? Here are some related questions to expand your understanding:
- How are percentiles and quartiles calculated from a data set?
- What is the significance of the interquartile range (Q3 - Q1)?
- Can you explain the difference between deciles, quartiles, and percentiles?
- How does the median compare to the mean in this data set?
- What can the spread of deciles tell you about the data distribution?
Tip: The interquartile range (IQR) is a helpful tool for understanding the spread of the middle 50% of your data!
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Math Problem Analysis
Mathematical Concepts
Statistics
Percentiles
Quartiles
Deciles
Median
Formulas
Median = (n+1)/2th value in sorted data
First Quartile (Q1) = 25th percentile
Third Quartile (Q3) = 75th percentile
First Decile (D1) = 10th percentile
Ninth Decile (D9) = 90th percentile
Percentile (P) = Pth percentile = (P/100) * (n+1)th value
Theorems
Percentile and Quartile Calculation Theorem
Suitable Grade Level
Grades 10-12
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