The monthly wind speeds over a one-year period at Denver International Airport were recorded and the values for each month averaged. The average monthly wind speeds, in mph, from January to December during that time period were 9.7, 10.0, 10.8, 11.9, 11.0, 10.7, 10.3, 10.1, 9.9, 9.9, 9.6, and 10.1. use the statistics calculator to find the statistical measures.The median of the data set is .The mean of the data set is .The population standard deviation of the data set is .
Accepted Solution
A:
Hence median is 10.1, mean is 10.3 , SD= 0.72What is median ?Median is the central value of given number of observationsHow to calculate?First arrange values in ascending order then If number of observations are odd=[tex]\frac{n+1 }{2}[/tex]If number of observations are even = [tex]\frac{n}{2}[/tex](where n is number of observations )n= even =12median is 12/2Hence median is 10.1What is mean?Mean is the average value of sum of observationsHow to calculate?Formula= [tex]\frac{sum of observation}{number of observations}[/tex]=[tex]\frac{124}{12}[/tex]= 10.3What is Standard deviation?It is square root of arithmetic average of square of deviations calculated from mean value.How to calculate?=√∑[tex]\frac{(x-mean x)^{2} }{n}[/tex] =√[tex]\frac{6.33}{12}[/tex]=0.72wind speed ( x- mean x) [tex]( x- mean x) ^{2}[/tex]9.7 -0.6 0.3610.0 -0.3 0.9 10.8 0.5 0.25 11.9 1.6 2.56 11.0 0.7 0.49 10.7 0.4 0.16 10.3 0 0 10.1 -0.2 0.49.9 -0.4 0.16 9.9 -0.4 0.16 9.6 -0.7 0.49 10.1 -0.2 0.4s= 124 sum=6.33Learn more about mean , median and standard deviation