Qstnid -9- (A) Attempt This Question On Graph Paper. Marks Obtained By 200 Students In Examination Are Given Below:<table Border='2' Style='width:698px'> <Tbody> <Tr> <Td>marks</td> <Td>0-10</td> <Td>10-20</td> <Td>20-30</td> <Td>30-40</td> <Td>40-50</td> <Td>50-60</td> <Td>60-70</td> <Td>70-80</td> <Td>80-90</td> <Td>90-100</td> </Tr> <Tr> <Td>no. Of Students</td> <Td>5</td> <Td>10</td> <Td>14</td> <Td>21</td> <Td>25</td> <Td>34</td> <Td>36</td> <Td>27</td> <Td>16</td> <Td>12</td> </Tr> </Tbody> </Table> Draw An Ogive For The Given Distribution Taking 2 Cm = 10 Marks On One Axis And 2 Cm = 20 Students On The Other Axis. From The Graph Find: (A) The Median (A) The Upper Quartile (A) Number Of Students Scoring Above 65 Marks. (A) If 10 Students Qualify For Merit Scholarship, Find The Minimum Marks Required To Qualify. (B) From Two Points A And B On The Same Side Of A Building, The Angles Of Elevation Of The Top Of The Building Are 30â° And 60â° Respectively. If The Height Of The Building Is 10m, Find The Distance Between A And B Correct To Two Decimal Places. - Previous Year Paper Year:2009

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ICSE-X-Mathematics

Previous Year Paper year:2009

with Solutions - page 3

(a) Attempt this question on graph paper.
Marks obtained by 200 students in examination are given below:

Marks	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80	80-90	90-100
No. of Students	5	10	14	21	25	34	36	27	16	12

Draw an Ogive for the given distribution taking 2 cm = 10 marks on one axis and 2 cm = 20 students on the other axis. From the graph find: (a) the Median (a) the Upper Quartile (a) Number of students scoring above 65 marks. (a) If 10 students qualify for merit scholarship, find the minimum marks required to qualify. (b) From two points A and B on the same side of a building, the angles of elevation of the top of the building are 30Â° and 60Â° respectively. If the height of the building is 10m, find the distance between A and B correct to two decimal places.

Ans : (a)

Marks	No. of students	cf
0-10	5	5
10-20	10	15
20-30	14	29
30-40	21	50
40-50	25	75
50-60	34	109
60-70	36	145
70-80	27	172
80-90	16	188
90-100	12	200

(a) null (a) null (a) null (a) null (b)

#9-a

Attempt this question on graph paper.
Marks obtained by 200 students in examination are given below:

Marks	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80	80-90	90-100
No. of Students	5	10	14	21	25	34	36	27	16	12

Draw an Ogive for the given distribution taking 2 cm = 10 marks on one axis and 2 cm = 20 students on the other axis. From the graph find:

Ans :

Marks	No. of students	cf
0-10	5	5
10-20	10	15
20-30	14	29
30-40	21	50
40-50	25	75
50-60	34	109
60-70	36	145
70-80	27	172
80-90	16	188
90-100	12	200

#9-a-i
the Median

#9-a-ii
the Upper Quartile

#9-a-iii
Number of students scoring above 65 marks.

#9-a-iv [6]
If 10 students qualify for merit scholarship, find the minimum marks required to qualify.

#9-b [4]
From two points A and B on the same side of a building, the angles of elevation of the top of the building are 30Â° and 60Â° respectively. If the height of the building is 10m, find the distance between A and B correct to two decimal places.
Ans :