Draw a random sample of $1$ percent students without replacement from 1500 students of a particular college for giving their opinion on college facilities. There are $600$ students in First year $(FY), 500$ students in Second year $(SY)$ and $400$ students of Third year $(TY)$ class in the college. Use the following $40$ three — digit random numbers :
$158, 092, 411, 745, 009, 724, 674, 550, 716, 359, 419, 969, 200, 458, 384, 019, 676, 631,$
$390, 557, 299, 786, 706, 206, 729, 344, 543, 309, 227, 483, 741 766,$
$027, 070, 648, 956, 238, 912, 480, 558.$
(Use the first $14$ random numbers for $FY$, next $14$ random numbers for $SY$ and remaining random numbers for $TY$)
→The earning of a shopkeeper (in complete rupees) for $30$ days are as under. Taking the initialclass $8000-8099$, prepare a frequency distribution.
$8200,8370,8180,8425,9030,8075,8700,8520,8875$, $8699,8280,8100,8368,8545,8785,8199,8435,9000,8650$, $8380,8075,8600,8760,8825,8990,9050,8340,8180$, $8290,8585 .$
→The daily expense of $40$ students of a hostel is as follows.
Represent it in a suitable continuous frequency distribution.
$14.25,13.75,10.50,11.76,12.00,11.20,13.00,14.10,12.40$, $16.60,13.25,10.00,14.85,15.15,14.00,15.25,13.90,15.95$, $15.00,12.75,16.25,13.20,11.80,14.10,11.10,13.10,15.45$, $12.60,13.75,15.55,14.20,15.80,12.25 .14 .10,15.50,14.70$, $12.30,13.50,14.75,14.50 .$
→The height (in $\mathrm{cm}$ ) of nine pilots of Airforce are as follows:
$175,170,172,185,180,170,183,175,168 .$
Find the percentage of pilots whose heights are in the range $\bar{x} \pm S$.
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