The following data relates to sizes of shoes sold at a store during a given week. Find the median of the shoes. Also calculate the quartiles, the 7th decile and 64th percentile. Size of shoes 5 5 1/2 6 6 1/2 7 7 1/2 8 8 1/2 9 9 1/2 No. of pairs 2 5 15 30 60 40 23 11 4 1
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.
The following data relates to sizes of shoes sold at a store during a given week. Find the
|
Size of shoes |
5 |
5 1/2 |
6 |
6 1/2 |
7 |
7 1/2 |
8 |
8 1/2 |
9 |
9 1/2 |
|
No. of pairs |
2 |
5 |
15 |
30 |
60 |
40 |
23 |
11 |
4 |
1 |
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