What are the measures of central tendency for this data set
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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Variable Label
Value and Value
Measuren
label
Student id
Either name or Id
Name or Id number Nominal(A
number
contains c
number w
1-Male, 2-Female
and 9-missing
Gender
Male, Female and
Nominal
missing
Group
Experimental,
1-Experimental , 2- Nominal
control and missing Control and 9-
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0-25 and 99-
Ratio
Score
missing
Pre-test Grammar
Score
0-25 and 99-
Ratio
Score
missing
Post-test
Score
0-25 and 99-
Ratio
Vocabulary score
missing
Post-test Grammar
Score
0-25 and 99-
Ratio
Score
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- For each variable, it is asked to write the measures of central tendency.
There are 3 measures of central tendency.
- Mean: Mean is nothing but the average value of the data. It is used when the variables are interval or ratio scale.
- Median: The median is the middle value. It is usually used when we have an extreme observation in the data set.
- Mode: The mode is the value that occurs the most. It is usually used when variables are measured on a nominal scale.
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