For the sets `S={10,11,12,13,……17,18}`, `A={11,13,15}`, `B={12,14,16}`, show that `B^(c )-A^(c )=A-B=AnnB^(c )`

For the data 14, 7, 13, 12, 13, 17, 8, 10, 6, 15, 18, 21, 20, compute P_(80)

The value of |(11,12,13),(12,13,14),(13,14,15)| , is

Find the union of the sets A={5,7,9} , B={9,13,15} and C={13,15,17} . Also show that (AuuB)uuC=Auu(BuuC) .

Mode of 12,14,11,16,15,14,11,13,14 is

Median of the observatios 5, 7, 14, 12, 15, 17, 17, 5, 14, 7, 5 is a) 14 b)12 c)11.8 d) 7

(i) if A=[{:(1,0),(0,1):}],B=[{:(0,1),(1,0):}]and C=[{:(1,0),(0,1):}], then show that A^(2)=B^(2)=C^(2)=I_(2). (ii) if A=[{:(1,0),(1,1):}],B=[{:(2,0),(1,1):}]and C=[{:(-1,2),(3,1):}], then show that A(B+C)=AB+AC. (iii) if A=[{:(1,-1),(-1,1):}]and B=[{:(1,1),(1,1):}], then show that AB is a zero matrix.

Evaluate |{:(13,16,19),(14,17,20),(15,18,21):}| .

Determine the mode for the following observations : 10,11,10,12,11,10,11,11,11,12,13,11,12.

The marks of 20 students in a test were as follows, 2,6,8,9,10,11,11,12,13,13,14,14,15,15,15,16,16,18,19 and 20. Calculate (i) the mean (ii) the median (iii) the mode.

Evaluate: = |(10 !, 11 !, 12 !), (11 !, 12 !, 13 !), (12 !, 13 !, 14 !)|