Q. 3. A stock broker keeps a daily list of the number of transactions where his customers buy the stocks on margin.The following number of stocks were brought on margin by the customers in January 2000:
(June 2000)

50 42 44 42 43 50
35 37 43 37 25 15
25 05 09 13 17
19
18 20 40 29 21 26
02 17 48 36 12 28

Construct a frequency distribution for the preceding data and then draw a histogram with number of classes = 10.

Solution. Given, the number of class is 10.
Highest Value = 50
Lowest Value = 2
Class size = Range/No. of classes

Where:
Range = Highest Value - Lowest Value
Range = 50 - 2 = 48

Therefore, class size = 48/10 = 4.8 or 5

No. of stocks
Class frequency Tally
2-7 2 ||
7-12 1 |
12-17 3 |||
17-22 6 |||| |
22-27 3 |||
27-32 2 ||
32-37 2 ||
37-42 3 |||
42-47 5 ||||
47-52 3 |||

The histogram for the above problem is shown in the following figure:

 



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