Question

In: Statistics and Probability

What was the age distribution of nurses in Great Britain at the time of Florence Nightingale?

Age range (yr) 20-29 30-39 40-49 50-59 60-69 70-79 80+
Midpoint x 24.5 34.5 44.5 54.5 64.5 74.5 84.5
Percent of nurses 5.4% 9.8% 19.8% 29.2% 25.5% 8.7% 1.6%

What was the age distribution of nurses in Great Britain at the time of Florence Nightingale? Suppose we have the following information. Note: In 1851 there were 25,466 nurses in Great Britain.

(e) Compute the standard deviation σ for ages of nurses shown in the distribution. (Round your answer to two decimal places.)

Solutions

Expert Solution

Solution :

x P(x) x * P(x) x2 * P(x)
24.5 0.054 1.323 32.4135
34.5 0.098 3.381 116.6445
44.5 0.198 8.811 392.0895
54.5 0.292 15.914 867.313
64.5 0.255 16.4475 1060.864
74.5 0.087 6.4815 482.8718
84.5 0.016 1.352 114.244
Sum 1 53.71 3066.44

Mean = = X * P(X) = 53.71

Standard deviation =

=X 2 * P(X) - 2

=  3066.44 - 53.712

= 13.48

orchestra answered 2 years ago
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