3.
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
Indicating the individual number 65 gives a 5 point range to the mean. It seems the median is the most accurate way to discribe the data set, as it uneffected by the outlier value.
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
Standard Deviation for the mean column is 0.476Standard Deviation for the median column is 0.754Standard deviation for the mean column has least variability
The median is basically the middle score for a set of data that has been arranged in order of extent. The median is less affected by outliers and twisted data
Research results tell us information about data that has been collected. Within the data results, the author states the results are statistically significant, meaning that there is a relationship within either a positive and negative correlation. The M (Mean) of the data tells the average value of the results. The (SD) Standard Deviation is the variability of a set of data around the mean value in a distribution (Rosnow & Rosenthal, 2013).
5. When is it more appropriate to use the median as a measure of center rather than the mean? Why?
Standard deviation is a way of visualizing how spread out points of data are in a set. Using standard deviation helps to determine how rare or common an occurrence is. For example, data points falling within the boundaries of one standard deviation typically account for about 68% of data and those between (+/-)1 standard deviation and (+/-)2 standard deviations make about 27% combined. This can be better visualized by using a bell graph. Using the mean and standard deviation, the points where standard deviations occur can be drawn on the graph to better understand which data is rare and which is common.
Due to financial hardship, the Nyke shoe company feels they only need to make one size of shoes, regardless of gender or height. They have collected data on gender, shoe size, and height and have asked you to tell them if they can change their business model to include only one size of shoes – regardless of height or gender of the wearer. In no more 5-10 pages (including figures), explain your recommendations, using statistical evidence to support your findings. The data found are below:
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
2. Describe the pattern of growth in the “Number of people told” column for both Scenario A and Scenario B.
5. The arithmetic mean is only measure of central tendency where the sum of the deviations of each value from the mean will always be zero
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.
the median of the lesser data is Q1 and the median of the greater data is Q3
Since the histograms for both samples are symmetrical, it is more effective to utilize the mean of the data set rather than the median which would best be used for skewed distributions. The summary statistics shows that the mean for males is 52.04 and for females 49.52. Similarily as the interquartile range, IQR, measures the variation of a set of data in regards to the median, the standard deviation measures the variability of a data set with correlation to the mean.
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.