Probability & Measures of Central Tendency Part 1 The data collected for this paper will be the number of minutes spent on the commute to school each day for a ten day period. The commute is generally between 20 and 30 minutes, though traffic problems, particularly accidents, can greatly increase the time for the commute. Minutes Per Day Spent on Commuting EMBED Excel.Sheet.12 Part II Using the data you have collected in above, please do the following: Calculate the mean, median, and mode. The mean is the number many people refer to as the arithmetic average. It is the sum of the results divided by the total number of data points collected. The mean is: (23+23+27+22+19+30+32+23+24+47)/10 = 27 The median is the number in the middle of a distribution, once that distribution has been placed in ascending or descending order. In ascending order, the results are: 19, 22, 23, 23, 23, 24, 27, 30, 32, 47. Because 10 is an even number, the median is the mean of the two middle numbers. The two middle numbers are 23 and 24. Therefore, the median is 23.5. The mode is the number occurring most frequently in the distribution. The results are: 19, 22, 23, 23, 23, 24, 27, 30, 32, 47. Therefore, the mode is 23. Are these numbers higher or lower than you would have expected? The numbers are what I expected. Which of these measures of central tendency do you think most accurately describes the lifestyle variable you are looking at? Both the median and the mode do
2. Based on the scale of measurement for each variable listed below, which measure of central tendency is most appropriate for describing the data?
5. Give the standard deviation for the mean and median column. Compare these and be sure to identify which has the least variability?
Mean is the better estimate for the parameter of interest. The mean is more centered with least variability.
5. When is it more appropriate to use the median as a measure of center rather than the mean? Why?
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
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.
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
The mean (x) is a measure of _central__________ __tendency___________ of a distribution while the SD is a measure of __dispersion___________ of its scores. Both x and SD are _descriptive___________ statistics.
As it can be immediately seen the car is the most common means of transport in the city with 45% of people using it; the Light Rail Transit is at the second place, with 10% less than car percentage. The other common public means of transport, the bus, and taxi are \the less preferred ways of moving around the city with just the 10% of people using each of them.
Provide a rationale for your answer. Yes, median can be determined for the educational data. The educational data is measured at an ordinal level of measurement. The median for both groups would be “some college”. Some college falls is the middle value between high school and college graduate or higher.
Again to find the median it is essential to align the numbers numerically, 8, 10, 10, 13 is and equal number therfore we must use addition to calculate the two middle numbers (10+10) and divide this by two, (10+10)2 which equals $10 if the 3d movie ticked is added into the equation 8, 10, 10, 13, 34 the median is still
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
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
According to Van De Walle, Karp & Bay-Williams there are two distinct interpretations for the understanding of mean (2013). The definition of mean is to find the middle number in the set of data. A real explanation is to spread the data evenly across all the data points where each data point is the same as the sum, which is thirty-six, refer to illustration 2. Understanding the term mean is crucial when working with statistical problems. The first explanation of the term mean can be better understood in the classroom when students are working on an activity