A random sample of 30 male college students was selected, and their heights were measured. The heights (in inches) are given below. 66 72 66 69 72 71 68 74 71 67 69 73 74 71 73 67 72 72 66 66 74 69 74 70 72 67 73 67 74 69 (a) Complete the frequency distribution for the data. Make sure to enter your answers for the relative frequency as decimals, rounded to the nearest tenth. Height Frequency Relative Frequency 66 67 68 69 70 71 72 73 74 (b) Give the correct histogram for this data
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.
A random sample of 30 male college students was selected, and their heights were measured. The heights (in inches) are given below.
| 66 | 72 | 66 | 69 | 72 | 71 |
| 68 | 74 | 71 | 67 | 69 | 73 |
| 74 | 71 | 73 | 67 | 72 | 72 |
| 66 | 66 | 74 | 69 | 74 | 70 |
| 72 | 67 | 73 | 67 | 74 | 69 |
(a) Complete the frequency distribution for the data. Make sure to enter your answers for the relative frequency as decimals, rounded to the nearest tenth.
| Height | Frequency | Relative Frequency |
| 66 | ||
| 67 | ||
| 68 | ||
| 69 | ||
| 70 | ||
| 71 | ||
| 72 | ||
| 73 | ||
| 74 |
(b) Give the correct histogram for this data
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