The length of cable in 23 cable boxes was measured in inches and is recorded as under: 200 202 203 204 205 206 211 212 213 213 227 228 232 234 236 238 242 243 244 246 247 251 200 - - Based on this data perform the following: What percentage of cable lengths is below 232 inches? Develop a histogram. Find mean, median and mode.
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 length of cable in 23 cable boxes was measured in inches and is recorded as under:
|
200 |
202 |
203 |
204 |
205 |
|
206 |
211 |
212 |
213 |
213 |
|
227 |
228 |
232 |
234 |
236 |
|
238 |
242 |
243 |
244 |
246 |
|
247 |
251 |
200 |
- |
- |
Based on this data perform the following:
- What percentage of cable lengths is below 232 inches?
- Develop a histogram.
- Find mean, median and
mode .
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