The distribution of a sample of 100 women of reproductive age group in a given community is given below: Age group (years) Frequency 15 -19 41 20- 29 32 30 -39 17 40 - 49 10 Total 100 Calculate the mean and standard deviation of the age of this group of women in the community
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.
Q1. The distribution of a sample of 100 women of reproductive age group in a given community is given below:
|
Age group (years) |
Frequency |
|
15 -19 |
41 |
|
20- 29 |
32 |
|
30 -39 |
17 |
|
40 - 49 |
10 |
|
Total |
100 |
Calculate the mean and standard deviation of the age of this group of women in the community
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