Distribution of College Algebra Course Grades What is the mean of this normal distribution? What is the standard deviation of this normal distribution?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![**Distribution of College Algebra Course Grades**
The graph illustrates the "Distribution of College Algebra Course Grades".
This graph displays a normal distribution (bell curve) representing college algebra course grades. The x-axis marks grade values, ranging from 29 to 107, with key increments at 29, 42, 55, 68, 81, 94, and 107. The curve peaks at the mean, reflecting the most common grade range.
**Questions:**
1. What is the mean of this normal distribution?
- μ = [ ]
2. What is the standard deviation of this normal distribution?
- σ = [ ]
Students are encouraged to calculate the mean (μ) and the standard deviation (σ) to better understand the spread and central tendency of the grades in this distribution.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff66f2a77-4862-48f2-86a6-bbcc903b600f%2Fa4311272-8f44-4a07-a046-71c4a971a3db%2F3juf5l2_processed.jpeg&w=3840&q=75)
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