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(English Medium) ICSE Class 10 - CISCE Question Bank Solutions

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Draw a cumulative frequency curve (ogive) for the following distributions:

Class Interval 10 – 15 15 – 20 20 – 25 25 – 30 30 – 35 35 – 40
Frequency 10 15 17 12 10 8
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Draw a cumulative frequency curve (ogive) for the following distributions:

Class Interval  10 – 19 20 – 29 30 – 39 40 – 49 50 – 59
Frequency 23 16 15 20 12
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

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Draw an ogive for the following distributions: 

Marks obtained less than 10 less than 20 less than 30 less than 40 less than 50
No. of students 8 25 38 50 67 
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Draw an ogive for the following distributions: 

Age in years (less than) 10 20 30 40 50 60 70
Cumulative frequency 0 17 32 37 53 58 65
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Construct a frequency distribution table for the following distributions:

Marks (less than) 0 10 20 30 40 50 60 70 80 90 100
Cumulative frequency 0 7 28 54 71 84 105 147 180 196 200
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Construct a frequency distribution table for the following distributions:

Marks (more than) 0 10 20 30 40 50 60 70 80 90 100
Cumulative frequency 100 87 65 55 42 36 31 21 18 7 0
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Insert one arithmetic mean between 3 and 13.

[9] Arithmetic and Geometric Progression
Chapter: [9] Arithmetic and Geometric Progression
Concept: undefined >> undefined

The following numbers, K + 3, K + 2, 3K – 7 and 2K – 3 are in proportion. Find k. 

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the value of the unknown in the following proportion :

5 : 12 :: 15 : x 

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the value of the unknown in the following proportion :

3 : 4 : : p : 12

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the value of the unknown in the following proportion :

`1/2 : "m" :: 14/9 : 4/3`

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the value of the unknown in the following proportion :

c

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the fourth proportion to the following: 

3,5 and 15

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the fourth proportion to the following: 

0.7, 4.9 and 1.6 

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the fourth proportion to the following: 

(p2q - qr2 ), (pqr - pr2 ) and (pq2 - pr2)

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the fourth proportion to the following : 

(x2 - y2),(x3 + y3)anc(x3 - xy2 + x2y- y3) 

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the third proportion to the following :

3 and 15 

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the third proportion to the following :

16x2 and 24x  

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the third proportion to the following :

(x - y) and m (x - y)  

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the third proportion to the following :

`9/25` and `18/25`

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined
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