Reflection for Question 16 Initially I felt confident approaching question 16, because I enjoy interpreting data and using algorithms to determine median. However, this changed as I had no prior schemes of leaf and stem tables therefore, I struggled to interpret the key 5|2 = 52. Eventually, I interpreted the key and identified the vertical line as separating the 10s and units and was able to read the table. I applied the key to the table and extracted the relevant mathematical facts (Step 1-2). To confirm I was approaching the question correctly I counted the number of data entries on the table (Step 2). Knowing that median is the “central value” (Larkin, 2011, pg.115), I calculated that I was looking for the 15th number in the sequence by dividing the number of jumps recorded by two to arrive at 14.5 and rounded to 15 (Step 3). I counted 15 numbers from the top stopping at the 15th, being 65 (Step 4). I was confident employing my chosen strategy as I checked the answer by using the strategy of I crossing off one number from the top and one from the bottom, until I arrived 65 (the middle number in the set). I used number and place value, division, data representation and interpretation and calculation of median (ACMSP171), (ACMSP172) (ACARA, 2015), to complete this problem. …show more content…
Each row at opposite ends contains the same amount of numbers. Therefore, applying visualization strategies, I can see that the middle number in the 6’s row is the median number. This only works because the numbers are in numeric
This is a histogram were the tail goes to the right, it means the average is larger than the median.
5. Give the standard deviation for the mean and median column. Compare these and be sure to identify which has the least variability?
1. By hand, compute the mean, median, and mode for the following set of 40 reading scores:
5. Give the standard deviation for the mean and median column. Compare these and be sure to identify which has the least variability?
12. For the following scores, find the mean, median, sum of squared deviations, variance, and standard deviation:
Answer:-Euclidean median or median center is the location which minimizes/reduces the sum of Euclidean distances from all other points present in a spatial distribution to that central point. Mathematically this locations minimizes/reduces the sum and is calculated by Pythagorean Theorem. Most important use of Euclidean median in Geography are public and private facility location. In facility location the main goal is to reduce the average distance travelled per person to reach a designated facility. Euclidean median is actually the location which reduces/minimizes your transportation costs.
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
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
For the education data, I must say to calculate the median, from high school to college graduate, the median would be the some college portion since it would be the middle. The median for the experimental group would be 11 and 34.4% and for the control group it would be 15 and 41.7%.
(a). Plot mean chart (x-chart) and range chart (R-chart) to analyze these data. Sample No. Observations Mean Range
There is a statistical difference in the current level of democracy between North and South Africa.
2 3 175 0.080 951 0.43 195 245 658 335 170 3.4 0.9 57.0 9.2 0.21 61.4 1,718 530 1.1 2,520 92,000 583 14 22 6 19 15 927 765 12,280 22
Find the mean, median, SD & IQR for the data in (1) after it has been transformed
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
Determining the mean and the median of the checking accounts for Century National Bank, we are trying to find the single value that will represent all 60 checking accounts in our sample. That single value will be measure of central tendency.