if-the-mean-of-the-data-1-2-3-4-100-is-50-5-then-what-is-the-mean-of-the-data-5-7-9-11-203-

Question Number 174376 by Best1 last updated on 31/Jul/22

i f t h e m e a n o f t h e d a t a 1, 2, 3, 4, \dots, 100

i s 50.5 t h e n w h a t i s t h e m e a n o f t h e

d a t a 5, 7, 9, 11, \dots, 203 ? ?

Commented by Rasheed.Sindhi last updated on 31/Jul/22

\frac{5 + 203}{2} = \frac{208}{2} = 104

Commented by Best1 last updated on 31/Jul/22

e x p l a i n p l e a s e

Commented by Rasheed.Sindhi last updated on 31/Jul/22

I f a i s a f i r s t t e r m a n d l i s l a s t t e r m

o f a n A P, t h e m e a n (m) i s :

m = \frac{a + l}{2}

m = \frac{5 + 203}{2} = \frac{208}{2} = 104

Commented by cortano1 last updated on 31/Jul/22

m e a n = \frac{S_{n}}{n} = \frac{\frac{100}{2} (1 + 100)}{100} = \frac{1}{2} \times 101 = 50.5

t h e n m e a n o f d a t a : 5, 7, 9, \dots, 203

{\begin{cases} 203 = 5 + (n - 1) 2 \Rightarrow n = 100 \\ m e a n = \frac{\frac{100}{2} (5 + 203)}{100} = 104 \end{cases}

Commented by Best1 last updated on 31/Jul/22

t h a n k s u v e r y m u c h

Commented by peter frank last updated on 01/Aug/22

thank