The ages of the 36 millionaires sampled are arranged in increasing order in the following table (can use tools): 31 38 39 39 42 42 45 47 48 48 48 52 52 53 54 55 57 59 60 61 64 64 66 66 67 68 68 69 71 .וד 74 75 77 79 79 79 a. Determine the quartiles for the data. b. Obtain and interpret the interquartile range. c. Find and interpret the five-number summary.
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 ages of the 36 millionaires sampled are arranged in increasing order in the following table (can use
tools):
31
38
39
39
42
42
45
47
48
48
48
52
52
53
54
55
57
59
60
61
64
64
66
66
67
68
68
69
71
71
74
75
77
79
79
79
a. Determine the quartiles for the data.
b. Obtain and interpret the interquartile range.
c. Find and interpret the five-number summary.
d. Calculate the lower and upper limits.
e. Identify potential outliers, if any.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fae3af7a3-ef15-4b36-97be-2f6c2f51703f%2F0cd97c57-4809-4dee-9c67-0a8eebee67d1%2Fss2ad6a_processed.png&w=3840&q=75)
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