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CA FOUNDATION TEST MOCcT FM 92 TIME 2 HRS, , Q.112 Variable: 42 53 64 75 86 97 sheenccnncak nen erm s® 1 Tn tie,, is:, , No. of men: SS ) 1545 (6) 14.15, , Mode is : %, , roa aa (c) 24.25 (d) None of these, observati, , (c) 75 (d) none of these. can ae, , x: , then the mean of n observations Sy 4 3 Sr Abe, , ee eo :, , Q.1 Step deviation method or coding method is used (a) SX +2 (6) SX +3, for computation of the: — d) None, (a) Arithmetic mean (6) Geometric mean geld, , f a set of obsery,, (c) Weighted mean Q.9 Let arithmetic mean o ations j,, (d) Harmonic mean xX: . Ifeach observation is divided by a.q 4.", , , , , , , , , , , , , , , , , , eer then 12 is increased in each , then the mean oi,, (a) 2 (b) 10 raaaetie:, © 12 (a 2 Xx X+12, Q3 The algebraic sum of deviations of 28, 12,36“ @ 6, from the arithmetic mean is equal to ......, ° ts oe ae © Este @ aX+12, 2 ons is .Ireach git nea ete amy, then the AM of the whole group is :, (a) 2.25 (6) 39, (0) 46 (d) 58., , Q.11 If the mean of numbers 27, 31, 89, 107, 156s, X., then the mean of 130, 126, 68, 50, 1 is :, , (a) 75 (6) 157+ X, , (c) 82-X (d) 80., , (@) 10 () 1.1, © 101 “@u, , : The weighted mean of frst n natural numbers, sh AT° proportional to their cmespnis, , , , n-1, (6) 2, , 3n(n+1), ¢) 2

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(there are 4 obsery CONTRALTENDENCY 734, , pit ations 150 to be 78-4, oie sum of deviation thom their ee +300 Q.22 Mean of 20 observations was found jas 69., M. is: But later on it was found that 96 was ™, , 5), @ = cue The correct mean is, . i ds ti Sire (a) 79.38 (b) 79.95, 18 observations was 150. In (c) 79.48 (d) None of these., , 5 7 aoe, aS wrongly copied Q.23 If there are two groups, containing 30 and 2, thet!, , observations and having 250 and 260 as ari, , @ ing , it was found that 16, rei ssanne conTect mean is:, , jo 13! () 121 means, then the combined arithmetic mean is :, , oo __ 4) None of these. (a) 255 (b) 254, qe FSO students ofa class is (¢) 256 (d) 252., , ‘Two students wi, os in school, dene 30kg.and42 Q.24 An aeroplane Mies from Dethi to Patna at the, 1 ining students is mean weight of the rate of $00 km/hour and comes back from Patna to, Dethi at the rate of 700 km hour. The average speed, 8 (6) 36 of the aeroplane is :, (d) None of these. (a) 583,33 km. (6) $70 km., per hour, hour, he mean of a set of numbers is X. Ifeach, aliplied by Athen the mean ofthe set"? W25V33 4m.) None, , Q.25 The mean salary fora group of 40 female workers, , is Rs. 52,000 per month and that for a group of 60, male workers is Rs. 68,000 per month. What is the, combined salary ?, , (a) Rs. 61,600 (b) Rs. 62,600, , (c) Rs. 65,600 (d) Rs. 67,600., , © Q.26 The average ways of a group of unexperienced, labours is Rs. 1000 and that ofa group of experienced, labours is Rs.15,00. If the combined ways is Rs. 1200,, then what is the percentage of experienced labours ?, (a) 60% (b) 40%, , (©) 50% (a) None of these., , Q.271In ABC Limited , mean weight of gents workers, is 80 kg. and mean weight of lady workers is 50 kg. If, the mean weight of all the workers taken together is, 60 kg, then the ratio of the number of gents to that of, lady workers is :, , , , , , , , , a 5 OAX ¥, , , , , , , , , , , , , , , , , , , , , , , (a) 2:3 (b) 2:1, (oe) 1:2 (d) None of these., , - Q.28 For what value of n, the arithmetic mean of the, squares of first n natural numbers be 11., (@) +152 © (6), (ce) 11/2 (d) None of these.

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CA FOUND., ATION TEST mocT —, 448 CENTRAL TENDENCY 92 TIME 2 HRS, 06 mean of 102 observations is 79, jy ], Q.29 For what value of 1 , the arithmetic mean of pipes the new mean jg. 4 |, n+7 8 (by 92, first n natural numbers is equal 10 “= . te e (d) None of these., (a) (b) 8 ‘The mean of 5 number is 29. Hf One Pune,, 3B (dh None of these. red then cnn becomes 26, The valey, Q.30 Ifthe arithmetic mean of square of first nnatural removed number! © al, 46n (a) 5!, pumbers is "> then the value of mi equa we 35 (d) None of these,, 1 algebraic sum of deviation of aset of, quer from 50 is -10 and ang,, , @ 3 (b) 15, , ya (d) None., 31 The ge eh oe er be, students is 40 kg. If the weight of the teacher be, included, the average rises by (1/2) kg; the weight of, ‘the teacher is:, , , , (0) 60Kg., 63 ke., , at, , vy deviation of these values taken rn,, sig 70, The values of n and the Mean are:, , (a) 19,415 (b) 20, 49.5, (©) 21,4725 (d) None of these,, , Q39lf X; and X2 are the means of two distribution,, and X is the mean of the, , , , i

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: CENT!, | algebraic sum of the RAL TENDENCY, , , , , , , , , , , , , 43 The 4, O* sions measured eviations of, of observations oe 30 is s. Tiectee oe (ey (6) 2”, Og] (6) 30.1 #5) bras (dy None of these:, or . Q.9 IF al, a2, ..... a, be m observations, then the, a] a ily of 6 (4) 29,1. QNRMMITY (a, 4 yy oe ca) In is called, qe ving monthly a are three earning ia A AM, 14,000 and Rs. 10,000, Sukie n 18,000, (©) 4M (d) None of these., ween the famity is : income of a = The geometric mean of the first n terms of the, @ 00 (6) 600 —, a b) ar?, ( (b), | «70° id) 800. () aan, ee, GMof 32,16, 8 is: oP OR, Q ms ( a"., 4 (6) 16, “ ‘a Ma Q12 1G,, G, are the geometric means of two series, G ne of these. of observations and G is the GM of the ratios of the, corresponding observations, then G is equal to, (a) (G/G.) (b) log G, - log G,, log G,, {c) ios G, (d) log (G,, G,y, Q.13 If G is the GM. of the product of n_ sets of, observations having geometric means G,, G.., , ing, Gr respectively, then the value OL GAS. cansesseeess, (a) log G, . log G, . .... - log G,, , (0) GG, ene G,, (c) log G, + log, ....... + log G,, (d) None of these., a, Q.1 The harmonic mean for the numbers 3, 4 , 5 ie:, (a) 2.00 (6) 3.33, 12,36 (c)3.83 (d) 4.83., , Q.2 Ifthe A.M. and GM. for 10 observations are both, 25, then the value of H.M is, , (a) Lessthan 2S (b) More than 25, (c) 28 (d) Cannot be determined, Q3 fthe A.M. and H.M. for two numbers are 0.8 and, 3.2 respectively then the GM. will be:, , (a) 1.6 (b) 2.10, (c) 3.05 (d) None

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CA FOUNDATION TEST, 450, , Q.4 If there are two groups with 75 and 65 asharmonic, , means and containing 15 and 13 observation, then the, combined H.M. is given by;, (a) 70 (6) 70.36, (ec) 65 {d 71., June 2008, , Q.5A train completes the first half of its journey with, a velocity v, and the rest half with a velocity v,- Then, the average velocity of the train for the whole journey, is:, , v,+¥,, , , , @~>3 () Jur, 2vvy, © v4y, (d) None of these., , Q.6 An automobile driver travels from Patna to Delhi,, a distance of 1220 km. at an average speed of 30 km., per hour, He then makes the retum trip at an average, speed of 25 km. per hour. He covers another 1220 km., distance on plane at an average speed of 50 km. per, hour. His average speed over the entire distance of 3660, ipl Be i6 Pwiens, sA7 et) wir?), were geld 9D eta optecrag tie) ©, , a hi hr, , , , or A, , MALO, peeviosqen ©:, ~, , 4 %, , , , MOcT, CENTRAL TENDENCY, , FM 92 TIME 2 HRS, , black pens worth Rs |, AT fs 30 per pen «fed Pens WOTTH RS, 19g the, Rs.100 per pens and blue pens worth p,* the, , te of Rs.200 per pen. The average a “, , rate of, rate of, at the ral, is:, rs Rs.15 (b) Rs.(600/7), {e) Rs. (305/3) (d) None of th, , shopkee} has two varieties of,, Q.10 A shop another at20 for Rs. 1 rege, , oi bta price per mango in paiseis; 9, (a) 8.7 (6) 7.5, (©) 72 (d) None, , 11 A Rajdhani Express covered first 240 kilo, Otance at an average rate of 30 km. p.h and furthe, covered the same distance at an average rate of 4,, km. p.h, The average speed over the whole distan,,, is:, , (a) 44.25. (b) 34.29, , (c) 33.29 (d) None, Q.12. An Ola cab ride in Delhi charges Re. one forthe, first kilometre and sixty paise for each additioea), kilometre. The charge for each kilometre is incurred, at the beginning of kilometre so that the rider pays, for a whole kilometre. The average charge for 2.5, , _ kilometre in rupees is :, (a) 0.85 (b) 0.98, (©) 0.88 (d) None of these., , Q.13 An auto rickshaw covers first thirty kms at an, , average speed of 8 km. p.h, another twenty km at3, km. p.h and the last twenty km at 2 km. p.h. The, , average speed for the whole journey in km. p.his:, (a) 2.43 (b) 3.43, {c) 4.43 (d) None of these., , QIMode of 0,3, 5,6,7,9, 12,0, 2is:, , 6 (6) 0, 3 (és., Q.2.A distribution with two modes is called:, (a) Unimodel (b) Bimodal, (€) Multimodal (@) Normal, Q.3 The model letter of the word “STATISTICS”, DT ritme: ».. (6) T, (d) Both $ and T, , © Both S and 1