By using the box and whisker plot below, four outliers were calculated for points in the data set. Outliers were larger than 81 points, and smaller than 33 points.
Theoretically from the recorded data the calculated mean, median, and mode will be the most accurate representation of the real world value. The difference between the highest recorded value and lowest recorded value is the range in the set of data. Standard deviation (s) is a quantity calculated to indicate an extend of deviation for a group of data as a whole (Marshall). This is calculated using:
Based on the given sample of student test scores of 50, 60, 74, 83, 83, 90, 90, 92, and 95 after rearranging them from least to greatest. As the mean is based on the average of sum, the average of this sample is 79.67 or 80. The mode refers to numbers that appear the most in a sequence and in this case 83 and 90 both appear twice. Range calculates the difference between the largest and smallest number, which are 95 and 50 which have a difference of 45. The variance is the difference between the sum of squares divided by the sample size, which is the number in the sample minus one (Hansen & Myers, 2012), meaning it takes each number of the set and subtracts
Occasionally uncommon instances are represented by outliers. Other times they symbolize data entry errors, or maybe data that doesn't belong with another data of interest. More robust methods of investigation when conducting the study for the population need to be used. The next method is to transform your data using box plot or histograms. This may serve other functions at the same time. It may help cope with outliers, although it probably should not be used simply because there's an outlier. A histogram is especially useful when there exists large number pf observations. The range of values in types breaks, and show percentage or just the count of the observations that fall into each
The mean is the average of all numbers. The Liberal’s mean is 50.76, Conservative’s mean is 38.45 and NDP’s mean is 54.57. The NDP’s mean is higher than Liberal and Conservative. It means that the NDP is more popular than the other two parties and the Conservative, which has the lowest mean, is the less popular party among these three parties. In the data center, means and medians are often tracked over time to spot trends which power cost predictions. The statistical median is the middle number in a sequence of numbers. The median is 56 for Liberal, 38 for conservative and 60 for NDP. As we can see, the mean and the median are related and following each other. When the mean is higher the median is higher too and when the mean is lower the median is lower too. To find the median, organize each number in order by size; the number in the middle is the median. Standard Deviation is a measure that is used to quantify the amount of variation or dispersion of a set of data values. A low standard deviation indicates that the data points tend to be close to the mean of the set, while a high standard deviation indicates that the data points are spread out over a wider range of values. The standard deviation for Conservative is 31.4 which is higher in relation to the other two parties. The standard deviation for Liberal is 28.4 and for NDP is 27.1. The data points in the conservative party spread out over a wider range of values in relation to the other two parties. The standard
Based on the chart, the mean was calculated by adding up the sum of the list and divide 18, which the number of the total listed prices. The mean is 135,000, which mean the average of the listed price. Secondly, the median was calculated by listing the number in numerical order from lowest to highest and located the number in the middle 126,000. The median represents the middle number of the listed price. After calculating the median I located the minimum and maximum based the lowest and highest data, which are 48,000 and 338,000. These represent the range of the listed price. Lastly, I used the formula to get the
An average number typically suggests the ‘mean’ value in a data-set; however, in this analyse has been used two different types of averages which are: the mean and median. As the mean is considered to be the one giving the most accurate information about the average number of takings – since it’s about adding up all the numbers form the data-set and divided them by the total - while the median represents only the value that stands in the middle of the data-set; in that way resulting a common mistake such as: leaving one of the averages aside and not analysing the accurate information from the data-set. However, there are no evidences to prove that both numbers are correct, as both are considered to be types of averages in statistics.
Outlier detection is employed to measure the distance between data objects to identify those objects that are extremely different from or inconsistent with the remaining data set. Data that appears to have different characteristics than the rest are called outliers.The data considered as non-fraudulent behaviour is assumed as normal and is used to identify values that fall far outside the supposed range should be checked carefully.