Math Problem Statement
What is the Normal Distribution Probability where X is more than 185.61 for a mean of 206, and standard deviation of 20.6
integer, decimal, or E notation allowed
Question 10
1 Point
Calculate the standard deviation sales per store using this population data
91, 53, 71, 4, 30, 16
Integer, decimal, or E notation allowed
I
Question 11
1 Point
Calculate the median for products sold per store using this data.
0, 77, 38, -5, 44, 62
Use python
Solution
Here are the results for your questions:
-
Normal Distribution Probability (for , with mean = 206 and standard deviation = 20.6):
Probability = 0.8389 (rounded to 4 decimal places). -
Standard Deviation (of sales dataHere are the results for your questions:
-
Normal Distribution Probability (for , with mean = 206 and standard deviation = 20.6):
Probability = 0.8389 (rounded to 4 decimal places). -
Standard Deviation (of sales 91, 53, 71, 4, 30, 16):
Standard Deviation = 30.55 (rounded to 2 decimal places). -
Median (for products sold per store: 0, 77, 38, -5, 44, 62):
Median = 41.0.
Let me know if you need further clarification or have any other questions!
Here are 5 related questions for deeper understanding:
- How is the Z-score used to calculate normal distribution probabilities?
- What is the difference between population and sample standard deviation?
- How does changing the mean or standard deviation affect the normal distribution curve?
- What are the key properties of the normal distribution?
- Why is the median a useful measure of central tendency, especially with outliers?
Tip: The standard deviation gives insight into the spread of data. A larger standard deviation means more variability from the mean.
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Math Problem Analysis
Mathematical Concepts
Probability Theory
Normal Distribution
Descriptive Statistics
Standard Deviation
Median
Formulas
Z-score formula: Z = (X - μ) / σ
Standard deviation formula: √(Σ(X - μ)^2 / N)
Median calculation
Theorems
Empirical Rule for Normal Distribution
Central Limit Theorem
Suitable Grade Level
Grades 10-12
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