In a study conducted recently, the body weight of youth wresting team in Mongolia are found to be as follows: Body weight Class(kg) Frequency (Wrestlers) 70 < X ≤ 80 5 80 < X ≤ 90 14 90 < X ≤ 100 21 100 < X ≤ 110 26 110 < X ≤ 120 35 120 < X ≤ 130 23 130 < X ≤ 140 18 140 < X ≤ 150 15 150 < X ≤ 160 7 Construct an Ogive curve reflecting the above data.
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.
In a study conducted recently, the body weight of youth wresting team in Mongolia are found to be as follows:
|
Body weight Class(kg) |
Frequency (Wrestlers) |
|
70 < X ≤ 80 |
5 |
|
80 < X ≤ 90 |
14 |
|
90 < X ≤ 100 |
21 |
|
100 < X ≤ 110 |
26 |
|
110 < X ≤ 120 |
35 |
|
120 < X ≤ 130 |
23 |
|
130 < X ≤ 140 |
18 |
|
140 < X ≤ 150 |
15 |
|
150 < X ≤ 160 |
7 |
Construct an Ogive curve reflecting the above data.
Approximately what percentage of the wrestlers weigh less than 130kg?
Approximately what percentage of the wrestlers weigh between 85kg and 145kg
Approximately what is the body weight of the top 30% youth wrestlers?
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