In: Statistics and Probability
Empolyee | age |
1 | 25 |
2 | 32 |
3 | 26 |
4 | 40 |
5 | 50 |
6 | 54 |
7 | 22 |
8 | 23 |
age | |
Mean | 34 |
Standard Error | 4.444097209 |
Median | 29 |
Mode | #N/A |
Standard Deviation | 12.56980509 |
Sample Variance | 158 |
Kurtosis | -1.152221485 |
Skewness | 0.767648041 |
Range | 32 |
Minimum | 22 |
Maximum | 54 |
Sum | 272 |
Count | 8 |
Confidence Level(95.0%) | 10.50862004 |
Describe the point estimate, normal probability distribution, and standard normal probability distribution in details, in 4 paragraphs.
A point estimate of a populace parameter is a solitary esteem used to appraise the populace parameter. For instance, the example mean x is a point gauge of the populace mean μ.As per given data,the point estimate of the employee ages can be determined by adding all the ages of the employees and divided with number of employees.So the answer is 34
The ordinary distribution,also known as the Gaussian distribution,is the likelihood dissemination that plots the majority of its qualities in a symmetrical fashion,and the majority of the outcomes are fit around the probabilities mean.Values are similarly prone to plot either above or underneath the mean.Grouping happens at qualities near the mean and afterward tails off symmetrically far from the mean.
As per given data,the normal probability distribution of employee ages can be determined if we know the mean which is 34,standard deviation which is 4.444097209 and π value is approximately 3.14159.Substitute these data in the normal probability distribution function i.e; after substituting those values in this equation,the normal probability distribution of employee ages can be determined.
The standard typical dissemination is an exceptional instance of ordinary distribution.It is the conveyance that happens when an ordinary irregular variable has a mean of zero and a standard deviation of one. Each typical variable can be changed to standard ordinary variable by putting in the typical likelihood dispersion. As per given data mean is 34 and the standard deviation which is 4.444097209. The standard normal probability distribution function formula is Substituting these values in these equation the standard normal probability distribution function is determined for the ages of the employees.