Find the 94th percentile, P94, from the following data 1 4 8 10 11 14 16 24 26 27 28 32 34 36 38 40 41 42 44 52 56 64 65 66 68 69 71 76 77 79 80 84 87 89 90 92 93 97 P94 =
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.
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1. Find the 94th percentile, P94, from the following data
| 1 | 4 | 8 | 10 | 11 |
| 14 | 16 | 24 | 26 | 27 |
| 28 | 32 | 34 | 36 | 38 |
| 40 | 41 | 42 | 44 | 52 |
| 56 | 64 | 65 | 66 | 68 |
| 69 | 71 | 76 | 77 | 79 |
| 80 | 84 | 87 | 89 | 90 |
| 92 | 93 | 97 |
P94 =
2. Here is a set of data.
| 6 | 9 | 22 | 44 | 140 | 149 | 163 | 438 | 594 | 681 | 728 | 795 | 919 | 952 |
Identify the 5 number summary (min, Q1, median, Q3, max)
min= ,Q1= , Median= , Q3= , Max=
3. The highway mileage (mpg) for a sample of 10 different models of a car company can be found below.
| 31 | 21 | 25 | 24 | 36 | 40 | 45 | 35 | 25 | 41 |
Find the
Find the midrange?
Find the range?
Estimate the standard deviation using the range rule of thumb?
Now use technology, find the standard deviation? (Please round your answer to 2 decimal places.)
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