निम्न आकड़ें 9 छात्रों द्वारा गणित के प्राप्तांक दर्शातें है। इनका माध्य विचलन ज्ञात कीजिए -
49, 68, 21, 32, 54, 38, 41, 66, 59

There are 68 students of 9th standard from Model High school, Nandpur. They have scored following marks out of 80, in written exam of mathematics.70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56,68, 80, 79, 39, 43, 57, 61, 51, 32, 42, 43,75, 43, 36, 37, 61, 71, 32, 40, 45, 32, 36,42, 43, 55, 56, 62, 66, 72, 73, 78, 36, 46,47, 52, 68, 78, 80, 49, 59, 69, 65, 35, 46,56, 57, 60, 36, 37, 45, 42, 70, 37, 45, 66,56, 47 By taking classes 30-40, 40-50, less than type cumulative frequency table. Using the table, answer the following questions How manystudents, have scored marks less than 80?

There are 68 students of 9th standard from Model High school, Nandpur. They have scored following marks out of 80, in written exam of mathematics.70, 50, 60, 66, 45, 46, 38, 30, 40, 47, 56,68, 80, 79, 39, 43, 57, 61, 51, 32, 42, 43,75, 43, 36, 37, 61, 71, 32, 40, 45, 32, 36,42, 43, 55, 56, 62, 66, 72, 73, 78, 36, 46,47, 52, 68, 78, 80, 49, 59, 69, 65, 35, 46,56, 57, 60, 36, 37, 45, 42, 70, 37, 45, 66,56, 47 By taking classes 30-40, 40-50, less than type cumulative frequency table. Using the table, answer the following questions How manystudents, have scored marks less than 60?

Directions (Questions 1 to 5): Study the given table carefully and answer the questions that follow: Number of candidates appeared and qualified for a test (in hundreds) in 6 different years from 5 different zones. Year P Q R S T App. Qual. App. Qual. App. Qual. App. Qual. App. Qual. 2005 3.2 2.5 3.5 1.4 3.8 2.2 4.2 2.4 6.2 2.6 2006 4.6 3.4 6.9 4.2 6.9 4.4 7.4 3.3 6.2 4.8 2007 6.5 4.9 7.7 4.5 5.9 4.8 8.3 5.6 6.4 4.2 2008 7.4 5.7 5.4 3.4 7.2 3.2 9.3 6.4 7.8 6.2 2009 8.8 4.8 6.6 5.2 8.6 6.8 11.4 5.2 9.9 6.9 2010 9.2 5.6 10.6 6.4 10.3 7.4 14.2 11.4 11.8 9.4 Note: Here App. means Appeared and Qual. means Qualified. In which years was in zones the difference between the appeared candidates and qualified candidates the second lowest? (a) 2005 (b) 2007 (c) 2008 (d) 2009 (e) 2010

Find the mean deviation using arithmetic mean for the following observations: (a) 68,32,49,54,21,38,59,41,66,76 (b) 28,12,17,35,22,18,5,32

Suppose the cube x^3""p x""+""q has three distinct real roots where p"">""0 and q"">""0 . Then which one of the following holds? (1) The cubic has minima at ( 2) (3)sqrt(( 4) (5) (6) p/( 7)3( 8) (9) (10))( 11) (12) (13) and maxima at ( 14) (15)-sqrt(( 16) (17) (18) p/( 19)3( 20) (21) (22))( 23) (24) (26) The cubic has minima at ( 27) (28)-sqrt(( 29) (30) (31) p/( 32)3( 33) (34) (35))( 36) (37) (38) and maxima at ( 39) (40)sqrt(( 41) (42) (43) p/( 44)3( 45) (46) (47))( 48) (49) (51) The cubic has minima at both ( 52) (53)sqrt(( 54) (55) (56) p/( 57)3( 58) (59) (60))( 61) (62) (63) and ( 64) (65)-sqrt(( 66) (67) (68) p/( 69)3( 70) (71) (72))( 73) (74) (76) The cubic has maxima at both ( 77) (78)sqrt(( 79) (80) (81) p/( 82)3( 83) (84) (85))( 86) (87) (88) and ( 89) (90)-sqrt(( 91) (92) (93) p/( 94)3( 95) (96) (97))( 98) (99) (100)