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Math 533 Project

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1) Mean: The mean of a set of numbers is the average. The mean is calculated by finding the sum of all the values and dividing by the number of values.
11+12+12+13+14+16+18+19+20 = 135
There are 9 numbers in the series, so the mean is:
Mean = 135/9 = 15
Median: The median of a series of numbers is the number that appears in the middle of the list when arranged from smallest to largest. For a list with an odd number of members, the way to find the middle number is to take the number of members and add one. Then divide that value by two. In our case, there are 9 numbers in the series. 9+1 = 10 and half of 10 is 5. The fifth number in the series is the median or 14.
If the number of members of the series was even, the average of the two middle numbers would be the median.
Mode: The mode is the number in the series that appears the most often. If there is no single number that appears more than any other number in the series, there is no value for the mode.
The number 12 appears twice in the series. The mode of this series is 12.
Quintile: The first quartile of a group of values is the value such the 25% of the values fall at or below this value. The third quartile of a group of values is the value such that 75% of the values fall at or below this value. The first quartile may be approximately calculated by placing a group of values in ascending order and determining the median of the values below the true median, and the third quartile is approximately calculated by determining the median of the values above the true median. For an odd number of observations, the median is excluded from the calculation of the first and third quartiles.
The distance between the first and third quartiles is known as the Inter-Quartile Range (IQR).
Min/Max: The five number summary, i.e., the minimum, Q1, Q2 (median), Q3, and maximum, give a goo indication of where data lie. For

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