# Answer the following questions (100 points)

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Answer the following questions (100 points):

- Why is the “
**Mean**” a measure of central tendency considered more reliable over mode and median when looking at a set of observations or scores? - 12, 10, 15, 22, 22, 24, 16, 18, 20, 22, 16,

Take a look at these observations and answer the following questions:

- What is the mode?
- What is the median?
- Generate the Mean?
- Generate the Standard Deviation?
- What is the N?
- Using the same observations above, calculate the z score of each of the eleven (11) scores?
- If a z score of (-2.38) is given or known:
- Where does this z score fall on the normal curve in relations to the mean?
- John got a raw score of 55 on the math test, with the class Mean of 45, and standard deviation of 2.3
- What is John’s z score?
- Where would his z score place on the normal curve?
- Why is z score considered a standard score?
- If the test results of 5
^{th}graders on the math test indicate a asymmetric curve skewed to the left. What conclusion can you immediately draw from this presentation? - If the same test in question #7 above indicates asymmetric curve skewed to the right. What say you about this phenomenon?
- Why is “Range” not highly recommended to be used as a measure of variability when dealing with a large set of observations?
- Define z score?