Math Problem Statement
The following table was generated to track the systolic blood pressures for a patient enrolled in a study testing the efficacy of a new anti-hypertensive. The recordings are listed by study day. For the following questions, please round your answers to two decimal points (e.g., if your answer is 115, please answer 115.00). Study day 0,1,2,3,4,14,21,40,60,90 Systolic Blood Pressure 136, 138, 138, 135, 134, 124, 123, 122, 119, 115 find the mean, median, variance, standard variation
Solution
The results for the systolic blood pressures are:
- Mean: 128.40
- Median: 129.00
- Variance: 67.44
- Standard Deviation: 8.21
Would you like more details or have any questions? Here are five related questions to expand your understanding:
- How would the removal of an outlier affect the mean and standard deviation?
- How does the standard deviation help in interpreting blood pressure trends?
- What are the benefits of using variance versus standard deviation in data analysis?
- How does the choice of population vs. sample variance affect the outcome?
- What other statistical measures could be useful in analyzing this data?
Tip: In a normal distribution, about 68% of data points fall within one standard deviation of the mean.
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Math Problem Analysis
Mathematical Concepts
Descriptive Statistics
Mean
Median
Variance
Standard Deviation
Formulas
Mean: (Σx) / n
Median: Middle value of ordered dataset
Variance: Σ(x - mean)² / n
Standard Deviation: sqrt(Variance)
Theorems
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Suitable Grade Level
Grades 10-12
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