The following table shows the distribution of 90 families according to their daily expenditure .The median and mode for the distribution are sh248 andsh240 respectively. Expenditure(sh) 0-100 100-200 200-300 300-400 400-500 No. of families 14 a 27 b 15 Find: Missing frequencies, a and b The mean of the distribution Comment on the skewness of the distribution
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 table shows the distribution of 90 families according to their daily expenditure .The
|
Expenditure(sh) |
0-100 |
100-200 |
200-300 |
300-400 |
400-500 |
|
No. of families |
14 |
a |
27 |
b |
15 |
Find:
- Missing frequencies, a and b
- The mean of the distribution
- Comment on the skewness of the distribution
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
