Using the following random numbers draw simple random sample without replacement of size $3 \%$ from the population of size $300$ units:
$3674, 0375, 2143, 5283, 7489, 1610, 2183, 5597, 0621, 2302, 3531, 2801, 7827, 0715, 3005:$
→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.
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