1-) For the following data, please compute: X- [1,2.2, 3,3, 3, 4, 4, 4, 4, 5, 5,5, 6,6, 6, 7, 7, 8,9] A) Arithmetic mean, mode, median, and standard deviation. B) plot the histogram or ogive
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.
![1-)
For the following data, please compute:
X= [1,2. 2, 3, 3, 3, 4, 4, 4, 4, 5, 5,5, 6, 6, 6, 7, 7, ,8,9]
A) Arithmetic mean, mode, median, and standard deviation.
B) plot the histogram or ogive
2-)
Complete the frequency distribution table:
Classes
descending cumulative
frequency
Class centre
Frequency
11-20
21-30
31-40
41-50
51-60
15.5
25.5
35.5
45.5
4
20
43
32
100
55.5
16
50
10
3-)
a - From the values: 63, 60,74, 91, 93, 35, 72, 71, 84, 80
Find: 1- The Range
2- The number of classes
3- The length of class
b- Find ou: which is more dispersion variable (X) or variable (Y), if the Arithmetic Mean and the
Standard Deviation of them are as follows.
Y
Arithmetic Mean
Standard Deviation
800
700
36
16](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F87aee22e-01fd-4f3d-8f6d-61507ffae688%2Faaecbc9a-4dc4-47ad-84c7-9933c991d968%2Ft1coahs_processed.jpeg&w=3840&q=75)
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