A national newspaper reported that the state with the longest mean life span is Hawaii, where the population mean life span is 76 years. A random sample of 20 obituary notices in the Honolulu Advertizer gave the following information about life span (in years) of Honolulu residents.

72 68 81 93 56 19 78 94 83 84 77 69 85 97 75 71 86 47 66 27

Use a calculator with sample mean and standard deviation keys to find x and s.

x = 71.4

s = 20.13

Step-by-step explanation:

The mean of the set of data given is

Mean = (72 + 68 + 81 + 93 + 56 + 19 + 78 + 94 + 83 + 84 + 77 + 69 + 85 + 97 + 75 + 71 + 86 + 47 + 66 + 27)/20 = 71.4

Standard deviation = √(summation(x - mean)/n

n = 20

Summation(x - mean) = (72 - 71.4)^2+ (68 - 71.4)^2 + (81 - 71.4)^2 + (93 - 71.4)^2 + (56 - 71.4)^2 + (19 - 71.4)^2 + (78 - 71.4)^2 + (94 - 71.4)^2 + (83 - 71.4)^2) + (84 - 71.4)^2 + (77 - 71.4)^2 + (69 - 71.4)^2 + (85 - 71.4)^2 + (97 - 71.4)^2 + (75 - 71.4)^2 + (71 - 71.4)^2 + (86 - 71.4)^2 + (47 - 71.4)^2 + (66 - 71.4)^2 + (27 - 71.4)^2 = 8100.8

Standard deviation = √(8100.8/20) = 20.13

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step-by-step explanation:

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pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.