Finding a Percentile In Exercises 33–36, use the data set, which represents the ages of 30 executives. 43 57 65 47 57 41 56 53 61 54 56 50 66 56 50 61 47 40 50 43 54 41 48 45 28 35 38 43 42 44 33. Find the percentile that corresponds to an age of 40 years old. 34. Find the percentile that corresponds to an age of 56 years old. 35. Which ages are above the 75th percentile?
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.
Finding a Percentile In Exercises 33–36, use the data set, which represents the ages of 30 executives.
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43
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57
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65
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47
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57
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41
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56
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53
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61
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54
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56
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50
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66
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56
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50
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61
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47
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40
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50
-
43
-
54
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41
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48
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45
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28
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35
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38
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43
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42
- 44
33. Find the percentile that corresponds to an age of 40 years old.
34. Find the percentile that corresponds to an age of 56 years old.
35. Which ages are above the 75th percentile?
36. Which ages are below the 25th percentile?
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