Use software or a calculator to find the range, variance, and standard deviation
ID: 2929537 • Letter: U
Question
Use software or a calculator to find the range, variance, and standard deviation of the F-scale measurements from the tornadoes listed the data set available below. Be careful to account for missing data. PLEASE HELP!!
F SCALE LENGTH (MI) WIDTH (YD) 2 39.8 400 1 5 100 2 0.06 100 2 0.1 200 2 9 400 2 14.4 50 0 4.2 50 1 1.52 30 0 10.01 25 0 0.09 50 1 0.2 20 3 6.42 300 5.73 40 0 1.75 50 3 15 100 1 0.5 200 0 0.15 10 0 0.38 30 1 0.28 50 0 57 50 0 2.87 50 0 0.21 30 1 29.6 10 2 6 100 1 2 50 4 28.01 800 7.1 100 4 2.29 350 0 0.56 150 1 1 50 1 1 100 1 0.5 20 0 2.52 50 0 0.51 70 0 0.5 50 1 2.4 450 0 4.09 50 1 2 150 1 0.6 80 1 5 75 0 0.8 27 1 0.26 75 2 6 400 0 3.2 60 3 5.7 1200 0 0.16 50 1 21 100 0 1.83 100 3 3.5 150 0 1 50Explanation / Answer
Using excel, we get the below output
Calculating with hand, answers would be as follows: -
Range=Max-Min
=4-0
=4
F SCALE Mean 1.041666667 Standard Error 0.162968728 Median 1 Mode 0 Standard Deviation 1.129080464 Sample Variance 1.274822695 Kurtosis 0.372986239 Skewness 1.025835829 Range 4 Minimum 0 Maximum 4 Sum 50 Count 48 Confidence Level(95.0%) 0.327850792Calculating with hand, answers would be as follows: -
F SCALE (xi-x) (xi-x)^2 2 0.96 0.9216 1 -0.04 0.0016 2 0.96 0.9216 2 0.96 0.9216 2 0.96 0.9216 2 0.96 0.9216 0 -1.04 1.0816 1 -0.04 0.0016 0 -1.04 1.0816 0 -1.04 1.0816 1 -0.04 0.0016 3 1.96 3.8416 0 0 -1.04 1.0816 3 1.96 3.8416 1 -0.04 0.0016 0 -1.04 1.0816 0 -1.04 1.0816 1 -0.04 0.0016 0 -1.04 1.0816 0 -1.04 1.0816 0 -1.04 1.0816 1 -0.04 0.0016 2 0.96 0.9216 1 -0.04 0.0016 4 2.96 8.7616 0 4 2.96 8.7616 0 -1.04 1.0816 1 -0.04 0.0016 1 -0.04 0.0016 1 -0.04 0.0016 0 -1.04 1.0816 0 -1.04 1.0816 0 -1.04 1.0816 1 -0.04 0.0016 0 -1.04 1.0816 1 -0.04 0.0016 1 -0.04 0.0016 1 -0.04 0.0016 0 -1.04 1.0816 1 -0.04 0.0016 2 0.96 0.9216 0 -1.04 1.0816 3 1.96 3.8416 0 -1.04 1.0816 1 -0.04 0.0016 0 -1.04 1.0816 3 1.96 3.8416 0 -1.04 1.0816 1.04 Mean 59.9168 Sum 1.274825532 E(xi-x)/n-1=Var 1.129081721 SDRange=Max-Min
=4-0
=4
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