2-8. You are given the following data: 10 4 9. 5 5 5 7 6 2 5 5 4 7 7 8 6. 8 4 7 5 5 5 7 8 7 6. 7 4 4 4 7 4 6. 7 8. 7 7 8. 6. 3 6. 4 7 4 4 a. Construct a frequency distribution for these data. b. Based on the frequency distribution, develop a histogram. c. Construct a relative frequency distribution.
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.
 alt="2-8. You are given the following data:
6
10
4
9
5
5
7
2
5
5
4
5
7
7
8
8
4
7
5
5
5
5
7
8
7
7
5
4
6
4
4
7
4
6.
7
8
7
6.
7
8
5
5
7
3
4
4
4
a. Construct a frequency distribution for these data.
b. Based on the frequency distribution, develop a
histogram.
c. Construct a relative frequency distribution.
d. Develop a relative frequency histogram.
e. Compare the two histograms. Why do they look
alike?
697
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