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

so far i think you have the right thing going for you just remember soh cah toh

step-by-step explanation:

sine over hypotenuse

cosine   equals adjacent

tangent over hypotenuse