• # question_answer Direction: Study the following Graph carefully and answer the questions given below: Total Number of Arts, Science and Commerce Students in Various Colleges Different Colleges What is the average number of students (in thousands) taking up Science from all the six colleges together ? (Rounded off to two digits after decimal) A) 44.90 B) 43.33 C) 51.33 D) 49.90

(b) Average number of students taking Science $\frac{\left( 45+45+45+47.5+27.5+50 \right)}{6}$ thousand = $\frac{260}{6}$= thousand = 43.33 thousand Number of Males = $\frac{9}{20}\times 19000$= 8550 Number of Females = 10450 For Males: Only Japanese $\Rightarrow$ $\frac{14\times 8550}{100}$= 1197 Only Korean $\Rightarrow$$\frac{12\times 8550}{100}$ = 1026 Only Latin $\Rightarrow$$\frac{20\times 8550}{100}$ = 1710 Only (Korean + Japanese) $\Rightarrow$$\frac{16\times 8550}{100}$= 1368 Only (Korean + Latin) $\Rightarrow$ $\frac{22\times 8550}{100}$ = 1881 Only (Japanese and Latin) $\Rightarrow$ $\frac{8\times 8550}{100}$= 684 Japanese + Korean + Latin $\Rightarrow$ 684 For Females: Only Japanese $\Rightarrow$ $\frac{22\times 10450}{100}$ = 2299 Only Korean $\Rightarrow$ $\frac{18\times 10450}{100}$ =1881 Only Latin $\Rightarrow$ $\frac{20\times 10450}{100}$ = 2090 Only (Japanese + Korean) $\Rightarrow$ $\frac{12\times 10450}{100}$= 1254 Only (Korean + Latin) $\Rightarrow$$\frac{16\times 10450}{100}$ = 1672 Only (Japanese + Latin) $\Rightarrow$$\frac{10\times 10450}{100}$ = 1045 Japanese + Korean + Latin $\Rightarrow$10450 - 2299 - 1881 - 2090 - 1254 - 1672 - 1045 = 10450 - 10241 = 209