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Q: Define variability and explain why it is an important concept in statistics. What are the three…

A: Variability is a measure of spread or dispersion. In a way it tell us the spread of each data point…

Q: Scores on a test have a mean of 86 and a standard deviation of 13. Jerrica has a score of 94.…

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Q: Can you please explain the difference between the standard deviation and standard error of x and p,…

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Q: Heights in centimeters of girls at the start of 1st grade are normally distributed with a mean of…

A: From the given information,   Mean = 125 Standard deviation = 5   The objective is to find the…

Q: Explain how standard deviation is calculated and how does it play an important role to determining…

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Q: Describe about the Error Variability?

A: The element of variability is produced by factors, such as measurement imprecision, and is not…

Q: does the range and standard deviation remain unchanged because the addition of 7 is a constant so…

A: given data  mean = 74 median = 76.5 range = 65 standard deviation = 11 add 7 points to each score…

Q: I need help doing standard deviation. I do not know the process.   Thank you,   Becky

A: Standard deviation: Standard deviation indicates by how much each observation differs from a central…

Q: IQ is normally distributed with a mean of 100 and a standard deviation of 15. What IQ do you need to…

A: IQ is normally distributed with a mean of 100 and a standard deviation of 15.

Q: hat is one reason the Average Absolute Deviation isn’t more commonly used?

A: Explain one reason for the avr. absolute dev. is not commonly used.

Q: The standard error of the mean serves as a special type of standard deviation. Describe about it.

A: Standard error: Standard error is a measure which explains how accurate are the sample means to…

Q: A student will spend 15 hours average each week in class. If the standard deviation is 2 hours, what…

A: Given that mean=15 and standard deviation = 2 Let, X= number of hours spent by a student in the…

Q: Critically discuss standard deviation as a measure of risk. In your discussion, include possible…

A: Standard deviation is a measures how spread individual data points are from the mean value. It is…

Q: When standardizing, the mean becomes 0 and the standard deviation becomes 1. True

A: The formula for standard normal score is, z=x-μσHere μ is the mean andσ is the standard deviation.

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!