Nt1330 Unit 2 Assignment 2 Agression Analysis

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:

Standard Deviation of Mean= 0.4762Standard Deviation of Median= 0.7539The standard deviation of the Mean is smaller, which means all of the data points will tend to be very close to the Mean. The Median with a larger Standard Deviation will tend to have data points spread out over a large range of values. Since the Mean has the smaller value of the Standard Deviations, it has the least variability.

2. For the following set of scores, fill in the cells. The mean is 74.13 and the standard deviation is 9.98.

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

Bigger sample size will give a narrower confidence interval range (more specific) outliers affect the mean but not the median – this is why the median is preferred here.mean

With the 95% Confidence Interval for Mean, Median, and St Dev are as described above.

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.

Now that the data are sorted, one result is the range of the data from 0 to 20, i.e. 21. The median is the middle observation in an odd number of sorted data and halfway between the two center-most points

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 given information, the mean is 0.2867 and the Standard Deviation is 0.24781, following the skewness as 0.652. With the given information, the distribution is observed to be skewed to the right. Hence, there are limited high

In order to observe whether there exists a data point that particularly differs from other data, we use boxplot to analyze the outliers:

These represent the range of the sale price. Lastly, I used the formula to get the standard deviation 48,945.28, which measures the variability.

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.

Table 2 shows the average for each sample with one outlier removed. The standard deviation is based on one removed outlier.

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.