$15$ random numbers are as follows:
$62, 18, 09, 112, 85, 108, 75, 99, 29, 82, 30, 03, 36, 171, 203.$
Using these random numbers obtain a simple random sample of $5$ units without replacement from the population of $50$ units.
→The observations on profit (in lac Rs ) of 40 companies during a year are as follows. Prepare frequency distribution taking initial class $5-11$.
$17.0,42.2,25.3,9.8,12.5,19.1,68.8,45.0,28.4,16.0$, $24.0,43.1,34.4,21.7,7.2,20.0,15.8,34.9,44.0,35.0$, $17.9,50.0,38.2,33.0,26.6,18.5,27.1,11.5,52.0,36.8$, $30.0,25.5,22.0,29.9,32.5,55.0,39.5,32.7,30.2,40.0 .$
From the frequency distribution, answer the following questions:
(1) Find the percentage of companies making profit of less than ? 23 lacs.
(2) What is the number of companies making profit of 41 acs or more?
(3) Find the number of companies making profit between ? 23 lacs and 41 lacs.
→From the students residing in a hostel, the daily expense of $25$ students is $Rs. 60$ or less, that of $13$ students it is $Rs. 30$ or less, that of $23$ students it is $Rs\ 50$ or less, that of $19$ students it is $Rs. 40$ or less and that of $5$ students it is $Rs. 20$ . Find median, mode, $D_{6}$ and and $P_{90}$ of daily expense of students.
→