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1. What is the process of Statistics? Describe both Descriptive Statistics and I

ID: 3228970 • Letter: 1

Question

1. What is the process of Statistics? Describe both Descriptive Statistics and Inferential Statistics.

2. Define the mean, median, and the mode as measures of central tendency. When is the most appropriate time to use each of them?

3. Describe the usefulness of the normal distribution model. Why do we standardize a random variable?

4. Define a P-Value. How is it determined? Draw a sketch. How is it interpreted?

5 What is the difference between a designed experiment and an observational study?

6. Interpret a given Confidence Interval. What does a Level of Confidence mean?

7. What are four principles of a designed experiment? Explain each.

8. Why is randomization such an important part of the process of statistics?

Explanation / Answer

1.

Process of statistics :
Typical Steps In Statistical Study

I. Identifying the question

II. Designing a Study

III. Collecting Data

IV. Analyze the data

V. Make Conclusions and Discuss Limitations

DEscriptiv statistics :
Descriptive statistics are brief descriptivecoefficients that summarize a given data set, which can be either a representation of the entire population or a sample of it. Descriptive statistics are broken down into measures of central tendency and measures of variability, or spread.

Inferential Statistics :
we use inferential statistics to try to infer from the sample data what the population might think. Or, we use inferential statistics to make judgments of the probability that an observed difference between groups is a dependable one or one that might have happened by chance in this study.

2.

Mean

The mean is the average of all numbers and is sometimes called the arithmetic mean. To calculate mean, add together all of the numbers in a set and then divide the sum by the total count of numbers.
meadian :
In the data center, means and medians are often tracked over time to spot trends, which inform capacity planning or power cost predictions.The statistical median is the middle number in a sequence of numbers. To find the median, organize each number in order by size; the number in the middle is the median

Mode :

The mode is the number that occurs most often within a set of numbers.

When is the most appropriate time to use each of them?


3.

The normal distribution, or bell curve, is most familiar anduseful toteachers in describing the frequency of standardized test scores, how manystudents earned particular scores. ... The highest point on the curve corresponds to the mean score, which equalsthe median and the mode in thisdistribution.

why standardizig :

The reason is that you want to get to a mathematically convenient representation of the variable. Having a variable with mean 0 that is dimensionless is useful to evaluate different types of random variable with one yardstick.


.4.

p value:

he P value, or calculated probability, is the probability of finding the observed, or more extreme, results when the null hypothesis (H 0) of a study question is true – the definition of 'extreme' depends on how the hypothesis is being tested

only first four questions are answered according to the website norm.

Type of Variable Best measure of central tendency Nominal Mode Ordinal Median Interval/Ratio (not skewed) Mean Interval/Ratio (skewed) Median