Travis is testing how far he can throw a baseball to prepare himself for the season. He makes 1616 throws and records the length of each throw in feet. The results are provided in the accompanying table. 236 240 232 242 238 235 228 245 247 239 234 238 241 227 243 238 Travis says that the histogram provided below could be used to represent the data. Show whether the histogram Travis created is correct and, if not, explain how the histogram could be corrected.
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.
Travis is testing how far he can throw a baseball to prepare himself for the season. He makes 1616 throws and records the length of each throw in feet. The results are provided in the accompanying table.
| 236 | 240 | 232 | 242 | 238 | 235 | 228 | 245 |
| 247 | 239 | 234 | 238 | 241 | 227 | 243 | 238 |
Travis says that the histogram provided below could be used to represent the data.
Show whether the histogram Travis created is correct and, if not, explain how the histogram could be corrected.
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