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ICSE Class 10 Answered

Draw a cumulative frequency curve for the following frequency distribution: C.I. 40-45 45-50 50-55 55-60 60-65 65-70 70-75 75-80 Frequency 5 17 22 45 51 31 20 9   From the ogive, find out lower quartile and upper quartile.
Asked by Topperlearning User | 07 Nov, 2017, 01:12: PM
answered-by-expert Expert Answer

C.I.

40-45

45-50

50-55

55-60

60-65

65-70

70-75

75-80

Frequency

5

17

22

45

51

31

20

9

Cumulative Frequency

5

22

44

89

140

171

191

200

 

On a graph paper, plot the points (40,0), (45, 5), (50, 22), (55, 44), (60, 89), (65, 140), (70, 171), (75, 191) and (80, 200) and draw an ogive as shown below:

 

 

 

 

 

 

From the ogive, we have

 

a)Lower Quartile, (Q1) =  = 56

 

 

b)Upper Quartile, (Q3) =  =66.5

 

 

 

 

 

Answered by | 07 Nov, 2017, 03:12: PM
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