Question

Example The table below gives the ages of sample of patients who attended a Medical Hospital. (a) Find the sample size. (6) Complete the blank cells. Ages (years) Frequency Relative frequency Cumulative frequency 0.16 12 10-14 15-19 20 - 24 25-29 30 - 34 8 15 37

can u please show the wroking

Answer 1

a). relative frequency of any class = frequency of that class / total frequency.

here, for the 15-19 class we have,

$\Rightarrow \frac{frequency \ of \ that\ class}{sample \ size}=0.16$

$\Rightarrow \frac{8}{sample \ size}=0.16$

$\Rightarrow sample \ size=\frac{8}{0.16}$

$\Rightarrow \mathbf{sample \ size=50}$

b).the completed table be:-

ages	frequency	relative frequency	cumulative frequency
10-14	(12-8) = 4	4/50 = 0.08	4
15-19	8	0.16	12
20-24	15	15/50 = 0.30	15+12 = 27
25-29	(37-27) = 10	10/50 = 0.20	37
30-34	50-37 = 13	13/50 = 0.26	50

*** if you have any doubt regarding the problem ,please write it in the comment box...if satisfied,please UPVOTE.