Question

The following data represent the number of people aged 25 to 64 years covered by health insurance (private or government) in 2018. Approximate the mean and standard deviation for age.
Age: 25-34. 35-44. 45-54. 55-64
Number 22.1. 31.5. 37.7. 25.3
(Millions)

Answer 1

Answer:

Mean  = 45.178

Standard Deviation = 10.33

Step-by-step explanation:

class                m              frequency, f           m $\times$ f            f $\times$ $m^{2}$      

25 - 34          29.5                22.1                   651.95         19232.525

35 - 44           39.5                31.5                  1244.25        49147.875

45 - 54           49.5                37.7                  1866.15        92374.425

55 - 64            59.5               25.3                 1505.35        89568.352

                                          116.6                    5267.7           250323.15

mean = $\frac{5267.7}{116.6} = 45.178$      standard deviation  = $\sqrt{\frac{250323.15 - \frac{(5267.7)^2}{116.6} }{(116.1 - 1)} } = 10.33$