निम्नलिहित आँकड़ो का कल्पित माध्य की सहायता से मानक विचलन ज्ञात कीजिये
(a) 112,117,121,125,130
(b)37,43,48,34,41,39,46,40

Find the standard deviation from the following datas, using assumed mean: (a) 112,117,121,125,130 (b) 37,43,48,34,41,39,46,40

The weights (in kg) of 30 students of a class are 39,43,32,37,29,26,31,45, 46,31,37,38,30,39,36,41,35,34,41,46,39,38,36,38,40,42,33,43,44,33. Prepare a frequency distribution table using one class interval as 30-35 in which 30 is included and 35 excluded. using the above data, draw a histogram.

The marks obtained by 35 students in a test in statistics (out of 50) are as below. {:(35,1,15,35,45,23,31,40,21,13,15),(20,47,48,42,34,43,45,33,37,11,13),(27,18,12,37,39,38,16,13,18,5,41),(47,43, , , , , , , , ,):} Construct a frequency distribution table with equal class intervals, one of them being 10-20 (20 is not included).

Directions (Questions 11 to 15): Study the following table carefully and answer the questions given below: Number (N) of Candidates (In lakhs) Appearing For An Entrance Examination From Six Different States And The Percentage (P) of Candidates Clearing the Same Over the Years STATE -> A B C D E F YEAR darr N P N P N P N P N P N P 2004 1.23 42 1.04 51 1.11 32 1.32 24 1.23 36 1.33 31 2005 1.05 43 1.12 62 1.07 47 1.15 49 1.18 55 1.24 24 2006 2.04 38 1.48 32 1.08 28 1.96 35 1.42 49 1.58 26 2007 1.98 41 2.07 43 1.19 30 1.88 46 1.36 47 1.79 29 2008 1.66 53 1.81 50 1.56 42 1.83 60 1.73 57 1.86 34 2009 1.57 39 1.73 36 1.64 52 2.01 56 1.69 55 1.95 37 What is the ratio of the total number of candidates clearing the entrance examination from State B in the year 2004 to that of those clearing the entrance examination from State C in the same year? (a) 221 : 148 (b) 218 : 143 (c) 148 : 221 (d) 143 : 218 (e) None of these

The following are the scores of two groups of class IV students in a test of reading ability. Scores Group A Group B 50-52 47-49 44-46 41-43 38-40 35-37 32-34 4 10 15 18 20 12 13 2 3 4 8 12 17 22 Total 92 68 Construct a frequency polygon for each of these two groups on the same axes.

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)

A company manufactures car batteries of a particular type. The lives (in years) of 40 such batteries were recorded as follows: 2.6 3.0 3.7 3.2 2.2 4.1 3.5 4.5 3.5 2.3 3.2 3.4 3.8 3.2 4.6 3.7 2.5 4.4 3.4 3.3 2.9 3.0 4.3 2.8 3.5 3.2 3.9 3.2 3.2 3.1 3.7 3.4 4.6 3.8 3.2 2.6 3.5 4.2 2.9 3.6 Construct a grouped frequency distribution table for this data, using class intervals of size 0.5 starting from the interval 2 - 2.5.