The following is a frequency distribution of ages of residents of a senior citizens' home in New York. Fill in the midpoints, then calculate the mean and the standard deviation. Round to two decimal positions. You may assume the data represents a population. Ages of Residents Midpoints Frequency 54−6254-62 3 63−7163-71 4 72−8072-80 1 81−8981-89 2 Mean (μμ)= Standard deviation (σσ) = Round the standard deviation up to 2 decimal places if necessary. Hint: Use the midpoint for each class (ages of residents).
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 is a frequency distribution of ages of residents of a senior citizens' home in New York. Fill in the midpoints, then calculate the
| Ages of Residents | Midpoints | Frequency |
|---|---|---|
| 54−6254-62 | 3 | |
| 63−7163-71 | 4 | |
| 72−8072-80 | 1 | |
| 81−8981-89 | 2 |
- Mean (μμ)=
- Standard deviation (σσ) = Round the standard deviation up to 2 decimal places if necessary.
Hint: Use the midpoint for each class (ages of residents).
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