Listed below are the numbers of manatee deaths caused each year by collisions with watercraft. The data are listed in order for
each year of the past decade. (a) Find the range, variance, and standard deviation of the data set.
(b) What important feature of the data is not revealed through the different measures of variation?
Range = Difference between the highest and lowest value = 97-68= 29
Variance
X₁ X₁-U (X₁- U) ²
80 0 zero
68 -12 144
71 -9 81
72 -8 64
95 15 225
89 9 81
97 17 289
72 -8 64
75 -5 25
81 1 1
∑ 800 ZERO 973
u= ∑X₁ /10=800/10=80
Variance= (X₁- U) ² / N= 973/10 = 97.3
Standard Deviation= √variance= √97.3= 9.864
(b) The important feature of the data is not revealed through the different measures of variation is that the variability of two or more than two sets of data cannot be compared unless a relative measure of dispersion is used .
First, you need to get to one gallon, which is 37.20 divided by 12. (3.1) Divide that number by four, which is: 0.775, or 0.78 rounded up to the nearest hundredth. Hope that helped.
