Following table shows the frequency distribution for the number of minutes per week spent watching TV by junior high students. Viewing Time (Minutes) no of students 300-399 14 400-499 46 500-599 58 600-699 76 700-799 68 800-899 62 900-999 48 1000-1099 22 1100-1199 6 Find the following for given data a) Arithmetic Mean. b) Median c) All the Quartiles.
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.
Following table shows the frequency distribution for the number of minutes per week spent watching TV by junior high students.
Viewing
Time
(Minutes) no of students
300-399 14
400-499 46
500-599 58
600-699 76
700-799 68
800-899 62
900-999 48
1000-1099 22
1100-1199 6
Find the following for given data
a) Arithmetic Mean.
b) Median
c) All the Quartiles.
d) 3rd and 7th Deciles.
e) 4th and 86th Percentiles
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