For the following problem, use the following scores: 5, 8, 8, 8, 7, 8, 9, 12, 8, 9, 8, 10, 7, 9, 7, 6, 9, 10, 11, 8 a. Create a histogram of these data. What is the shape of this histogram? b. How do you think the three measures of central tendency will compare to each other in this dataset? c. Compute the sample mean, the median, and the 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.
For the following problem, use the following scores:
5, 8, 8, 8, 7, 8, 9, 12, 8, 9, 8, 10, 7, 9, 7, 6, 9, 10, 11, 8
a. Create a histogram of these data. What is the shape of this histogram?
b. How do you think the three measures of
compare to each other in this dataset?
c. Compute the sample mean, the median, and the mode
d. Draw and label lines on your histogram for each of the above values.
Do your results match your predictions?
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