Question

Listed below are the numbers of hurricanes that occurred in each year in a certain region. The data are listed in order by year. Find the​ range, variance, and standard deviation for the given sample data. Include appropriate units in the results. What important feature of the data is not revealed by any of the measures of​ variation?

Numbers: 14, 6 , 18,   15, 5, 1,   20, 11, 7 6, 14 , 12, 15, 8

Answer 1

A B 1 X 2 14 с (X-X) 3.46 -4.54 7.46 3 6 D (X-X)? 11.98 20.60 55.67 19.91 30.67 4 18 5 15 4.46 -5.54 6 un 7 1 -9.54 90.98 8 20 89.52 9 11 0.21 9.46 0.46 -3.54 -4.54 10 7 11 6 12.52 20.60 11.98 2.14 12 14 3.46 13 12 1.46 14 8 -2.54 6.44 15 SUM: 137 373.23

let corresponding ni be the Number of Hurricanes to oth year. NOVO, ☺ Rouge Maximum value Minimum value 20 ( Range Rauge. 19 formula : 10 variance is computed Σ Elmi-n) ² :) Sample variance Sni whore Mean : Number data. of values Now putting 13.7 13 = 10.54 Now, 2 Sample variance I(373:23) 13- 2 Sample variance 373.23 12 Sample variance 373.23 12 Sample variance. 31.10

(3) Standard deviation is given by Jvariance 131.10 Standard deviation Standard deviation Standard deviation. 5.58

Important feature of the data which is not revealed by any of the measures of​ variation is the center most value around which all the number of hurricanes are consisted