Directions: Answer each of the questions below and show work. Write down the computations you do. Ten FBI agents get together and compare their annual salaries. They are $45,000, $48,000, $49,000, $55,000, $63,000, $64,000, $65,000, $70,000, $75,000, $120,000. A. Compute the mean and median salaries. Be sure to show your work, and answer with a sentence. B. A data point that is very different from other data points is called an outlier. Which of these data points could be considered an outlier? What effect will this outlier have on the mean? C. Compute the mean again, but this time leave out the outlier. How does this number compare to the number you found in question 1?
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
Directions: Answer each of the questions below and show work. Write down the computations you do.
Ten FBI agents get together and compare their annual salaries. They are $45,000, $48,000, $49,000, $55,000, $63,000, $64,000, $65,000, $70,000, $75,000, $120,000.
A. Compute the mean and median salaries. Be sure to show your work, and answer with a sentence.
B. A data point that is very different from other data points is called an outlier. Which of these data points could be considered an outlier? What effect will this outlier have on the mean?
C. Compute the mean again, but this time leave out the outlier. How does this number compare to the number you found in question 1?
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