Decide the best measurement of central tendency for each data set. Justify your answer. Note: Do not compute the measurements of central tendency; just decide which the best measure in each case is. a) Letter grades: A, B, B, A, C, C, C, D, F, B, B Best measurement is (underline one): mean median mode Explain why: b) Salaries: $46,000 $53,000 $49,483 $55,000 $58,000 $56, 000 $485,000 $61,050 $48,000 Best measurement is (underline one): mean median apou Explain why: 107 973 c) Area codes: 973 973 212 973 609 212 973 201 973 Best measuremnent is (underline one): mean median mode Explain why: d) SAT scores: 520 06S 009 640 640 640 640 00 Best measurement is (underline one): mean median mode Explain why: e) Blood types: A B AB A B Best measurement is nderline one Mean, median Mode
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.
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