The following data represent the annual salaries (in GHC) from some teachers in Ghana. 10,000, 11,000, 11,000, 12,500, 14,300, 17,500, 18,000, 16,600 19,200, 21,560, 16,400, 107,000 Use this information to answer questions 1 and 2. Compute the mean, median and mode, AP, What is the degrees of freedom multiply by the sample size in this case? Assume you work for the school board and do not wish to increase salaries, decide which one of the computations in (a) above would best support your position? Assume you work for the teachers’ union and want to raise salary for the teachers. Use the best measure of central tendency to support your position. Explain what an outlier is? What is an outlier in this case? Explain how this outlier can be used to support one or the other position as regards the changes in the measures of central tendency. If the salaries represented every teacher in the school district, would the averages be parameters or statistics? Explain the two terms briefly. Which measure of central tendency can be misleading when a data set contains outliers? Explain? When you are comparing the measures of central tendency, does the distribution display any skewness? Explain? Is the data discrete or a continuous data? Explain? Write short note on the type of sampling technique you would use to arrive at the sample above giving reasons for your answer ?
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.
The following data represent the annual salaries (in GHC) from some teachers in Ghana. 10,000, 11,000, 11,000, 12,500, 14,300, 17,500, 18,000, 16,600
19,200, 21,560, 16,400, 107,000
Use this information to answer questions 1 and 2.
- Compute the mean,
median andmode , AP, - What is the degrees of freedom multiply by the sample size in this case?
- Assume you work for the school board and do not wish to increase salaries, decide which one of the computations in (a) above would best support your position?
- Assume you work for the teachers’ union and want to raise salary for the teachers. Use the best measure of
central tendency to support your position.
- Explain what an outlier is?
What is an outlier in this case?
- Explain how this outlier can be used to support one or the other position as regards the changes in the measures of central tendency.
- If the salaries represented every teacher in the school district, would the averages be parameters or statistics? Explain the two terms briefly.
- Which measure of central tendency can be misleading when a data set contains outliers? Explain?
- When you are comparing the measures of central tendency, does the distribution display any skewness? Explain?
- Is the data discrete or a continuous data? Explain?
Write short note on the type of sampling technique you would use to arrive at the sample above giving reasons for your answer ?
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