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7. Statistics
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Q4 of 141 Page 8

The monthly profits (in Rs.) of 100 shops are distributed as follows:





















Profits per shop:



0-50



50-100



100-150



150-200



200-250



250-300



No. of shops:



12



18



27



20



17



6



Draw the frequency polygon for it.

We have,
















































Profit per shop



Mid value



No. of shops



Less than 0



0



0



0-50



25



12



50-100



75



18



100-150



125



27



150-200



175



20



200-250



225



17



250-300



275



6



Above 300



300



0





More from this chapter

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2

The marks scored by 750 students in an examination are given in the form of a frequency distribution table:



































Marks



No. of Students



600-400



16



640-680



45



680-720



156



720-760



284



760-800



172



800-840



59



840-880



18



Prepare a cumulative frequency table by less than method and draw an ogive.

3

Draw an ogive to represent the following frequency distribution:



















Class-interval:



0-4



5-9



10-14



15-19



20-24



No. of students:



2



6



10



5



3


5

The following table gives the height of trees:







































Height



No. of trees



Less than 7



26



Less than 14



57



Less than 21



92



Less than 28



134



Less than 35



216



Less than 42



287



Less than 49



341



Less than 56



360



Draw ‘less than’ ogive and ‘more than’ ogive.

6

The annual profits earned by 30 shops of a shopping complex in a locality give rise to the following distribution:



































Profit (in lakhs in Rs.)



Number of shops (frequency)



More than or equal to 5



30



More than or equal to 10



28



More than or equal to 15



16



More than or equal to 20



14



More than or equal to 25



10



More than or equal to 30



7



More than or equal to 35



3



Draw both ogives for the above data and hence obtain the median.

Questions · 141
7. Statistics
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 1 2 3 4 5 6 7 8 9 1 2 3 4 5 6 7 8 9 10 11 12 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35
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