Find the 84th percentile, P84, from the following data 1 3 4 5 6 17 20 22 24 32 33 34 36 37 38 49 51 57 58 60 66 67 69 73 74 75 79 80 82 85 89 90 96 98 P84 =
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.
Find the 84th percentile, P84, from the following data
| 1 | 3 | 4 | 5 | 6 |
| 17 | 20 | 22 | 24 | 32 |
| 33 | 34 | 36 | 37 | 38 |
| 49 | 51 | 57 | 58 | 60 |
| 66 | 67 | 69 | 73 | 74 |
| 75 | 79 | 80 | 82 | 85 |
| 89 | 90 | 96 | 98 |
P84 =
Here is a sample data set.
| 332.3 | 335.6 | 338.5 | 350.1 | 360.2 | 372.3 |
| 386.3 | 413.1 | 418.7 | 419.9 | 438.9 | 445.1 |
| 447.8 | 447.8 | 447.8 | 453.2 | 455.1 | 457.9 |
| 458.3 | 458.4 | 459.7 | 467.8 | 468.1 | 471.6 |
| 477.6 | 505.5 | 520.3 | 520.3 | 524.2 | 526.5 |
| 528.1 | 529.5 | 531.2 | 531.5 | 536.5 | 536.9 |
| 539.1 | 549.3 | 550.3 | 552.8 | 552.8 | 552.8 |
| 555.2 | 566.9 | 593.1 | 595.4 | 602.7 | 602.9 |
| 605.2 | 607.4 | 612.7 | 627.1 | 635.2 | 636.8 |
24681012length (cm)300350400450500550600650Frequency
Find the first quartile for this data set.
Q1 =
Find the third quartile for this data set.
Q3 =
Find the
IQR =
Find the lower fence separating outliers from usual values.
Fencelow =
Find the upper fence separating outliers from usual values.
Fencehigh =
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