Mathematics WAEC GCE RUNZ VERIFIED / EXPO OBJ AND THEORY

VERIFIED WAEC Gce obj and Theory Runz 2017 below:

No. 5



∑fx = 0 + 3 + 10 + 33 + 40 + 70


∑fx = 156

∑f = 7 + 3 + 5 + 11 + 10 + 14

∑f = 50

Mean = ∑fx / ∑f

Mean = 156 / 50

Mean = 3.12

Interquartile range

Inter-quartile Range = Q3 - Q1

Where:

Q3 = (3(N + 1) / 4)th item

Q1 = ((N + 1) / 4)th item

N = Sum of the frequencies

Arranging the set of data in ascending order we have:

0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5

N = 7 + 3 + 5 + 11 + 10 + 14

N = 50

Q3 = (3(50 + 1) / 4)th item

Q3 = (3(51) / 4)th item

Q3 = (153 / 4)th item

Q3 = 38.25th item

Q3 = 5

Q1 = ((6 + 1) / 4)th item

Q1 = (51 / 4)th item

Q1 = 12.75th item

Q1 = 2

Inter-quartile Range = 5 - 2

Inter-quartile Range = 3

____
     1a)     1+_/72
              ________
               _/2

Where_/2=1.414
              _____
      1 +_/36×2
     ____________
         _/2

          1+6_/2
        _________
           _/2

Recall_/2 =1.1414

      1+6(1.1414)
__________________
           1.1414

=6. 7072

6) M = ns + pr / s + r

ns + pr = M(s + r)

ns + pr = Ms + Mr

Pr - Mr = Ms - ns

r(p-m)  = s(m-n)

r(p-m) / (p-m)  = s(m-n)  / (p-m)

r= s(m-n)  / (p-m)


. :  m = 15, n = 10, s = 2.5,  p = 18

r = 2.5(15 - 10) / 18 -  15

r = 2.5(5) / 3

r = 12.5 / 3

r = 4.166

r = 4.17