The following table shows the number of people that are either 18, 19, 20 or 21 years old, from a sample of 267 people. a) Complete the table. Age Number of people 18 62 19 67 20 75 21 (b Find the mean for this sample. Give your answer to at least 2 decimal places. (c Find the standard deviation for this sample. Give your answer to at least 2 decimal places.
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 number of people that are either 18, 19, 20 or 21 years old, from a sample of 267 people.
a) Complete the table.
| Age | Number of people |
| 18 | 62 |
| 19 | 67 |
| 20 | 75 |
| 21 |
(b Find the mean for this sample. Give your answer to at least 2 decimal places.
(c Find the standard deviation for this sample. Give your answer to at least 2 decimal places.
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